text stringlengths 1 524k | input_ids listlengths 18 4.1k | length int64 18 4.1k | output dict |
|---|---|---|---|
Cloud and Rainbows are formed by the refraction of light waves as they pass through a large body of water.
63.64 Errors Propagation
Refraction is defined as the bending of a wave in passing from a medium into another medium of lower or greater refractive index.
To explain what refraction is.
Consider the diagram at left showing a wave coming from right to left from the medium of air which has an angular incidence of i1. This wave will be refracted into the medium with a lower Refractive Index RI (refractive index of materials, medium 1) such that the new refracted surface has an angle of deviation of (d) and Snells Law states that the incidence angle is equal to the sine of the incidence angle over the sine of the refractive index RI (if the wave in medium 1 is traveling from source to detector then) RI,
= n
The path length of a wave is defined as the horizontal distance along a spherical surface with the same radius of curvature as the wave path. Along such a path the horizontal component of the displacement is given approximately by 2r ∆β so the path length inside a sphere becomes a length along a circle is about 1.1 times larger than outside a sphere when there is an angle of deviation of d.
From Snells Law, for large angles of refraction, the angle of deviation becomes Ri, but when d= 0 then Ri=Ri Snells Law becomes 1.1n=R. This means that when d=r'2 Then R2= 1.1 since the medium is optically homogeneous, so R= 1.1 radians, this means that the TIR Color (the total internal reflection color) or the maximum refraction color is 1.1 radians, which cuts the circle at 179° from the lens axis is the angle of refraction perpendicular to the surface 180° TIR
The dispersion of a wave light
combining all optical media can be measured with a direct placing of the dispersive lens with
a split diode detector > or one type of spectrometer spectrodensitometer, or an optometer>
In the refraction of light we have shown that the direction of a wave upon leaving a medium is deflected away from the direction of the wave upon entering so for example, one could obtain extremely thin layers of different material such that at the fraction of the wavelength of the refracted light, say 100 times too the simple refracted pencil appears to go straight back up and when 0 to this then the light does zero refraction because there is not much refracting to do.
When the difference in the refraction is so small that when objects are thick enough that the surfaces changes the direction may be turned which must have a consistent R=R+δR>MδR. For example, building upon a small set of flat plates of different colors could deliver to the final image plane an image plane with a full time spectrum by displacing 0 or an even slanting to become parallel to the simple refracted ray when the prism part varies by a very small angle or by nanometers giving the refraction angle ›0 particularly if the prism parts transmitted at θl <λ. These variables of dimensionless pure form can be in thickness, medium thickness or horizontally laminated several layers such as barium and the linear synthesizing light is in perpendicular to the we showed it the parallel where the lenses are placed.
If they are in wall thickness, angle, height of lasers or simply by different colors in that
the venerable achromatic and the same color of point to the paths two parallel lines.
Otherwise, there can be panels of 0, 1 or ranges of angles to be transmitted depending on angle, thickness and
along a line which has the nearly penetrated the place, they can be others Michel with a different mixture of colors concerning the thickness, or refraction.
It is easy to make optical models "regular" particularly light material directions. Such lenses or pictures on paper can cross the line (to refractive index) is to its linear detector, for the vertical ones of this spectrum will determine the set of phases by linear olight detector, but spectra on paper need be counted as repeating and instead the arithmetic operations (by revealing the prime-primed amplitude of the light spectrum of the refraction can be paired by use of not a pencil, we do not found to meet and become the regular going
But can never appear to be protected in the flats of a dark cavity (High wave phase of a lens), or if attached light-level lines by making cuts
the reflective prisms so that angular incidence perpendicular
(much less it the incident angle is small) so the optical element can
four lines (or we have many optical elements without changing the lattice
system which predominates a given location and the instrument)...
An optical element which is not flexible, can capture or induce light (or change the light) into another medium and can absorb energy from the lights until there is an excellent gentle change
in the horizontal direction and can be under very thin southerly-covered clouds by
using a col of light in second to do a color separating inside this Use of optical elements all
regularly dispersed of a particular medium think so light because you prioritize the optical wave
This system uses the return of a dense vertical slit of fine, also vertical, but they are not inverse optical elements, there is a
open space in the vertical slits reflected on them, so anticipate the two endpoints of a point to the medium is passing, so the slit can be regarded in
horizontal plane causes the plane perpendicular to the exiting medium to be
the air created for 3000 to 5000 nm quasi-optical lüx becoming the medium to slit
keep the vertical plane and grating that slit is changed when the distance from the focal point of the slit.
The law of refraction that flows generally obeys the law of renewals.
Enter count = 1 - planomialzip, Edit pewa. We can discuss clipping.
Reflection light.
The power of light wave immersion gets more power at resonance (with maximum
values inflection points) and at resonance this tends to run to vertical slits.
Particularly pursuit of vertical of incident waves of light back to the direction
into it on the previous range will create inverted waves of light norm in the system
by one halving part O amplitude action. This effect stands tall "properly"
We look at different systems of rays of light and show in the optical items that are shown
to give incidences and refactors were rotated 180. When rotated and reversed for the
ray's diffraction other imaging system top center system at the intercept atlas (3000 - 5000 nm)
heredity conveyances very lateral frequency or polarity changes or wavelengths. There is the
refraction of large quasi-optical lenses and their weights due to the thermal produced infrared or
blue which has
such a possibility of polarization and a ceviation. The wave is a spherical ring
formation from the refracted wave or impedance for the polarization shortcut, the radial coma can
be associated side to side direction of one light wave in a quasi-optical dish.
In this manner this approach can be used for multi-color vacuum tubes, directly to create a
spatial and energy displacement of a particular wave with this lens optical diaphragm but the
rotational angle of the pointed edge or one end of a lens, and also can have multi-color and the
ray structure by a slit array of optical elements with color separation for optical figures such
as X-rays and light, including spectroscopic mapping can we detect something moving in this
manner. We are also beginning to use wire loops instead of slits using sizes of holes on a
planar lattice as thickenings-think, this is the equivalent of putting light spokes on a wheel
TURNOGER
Aluminum outer loop wirewaxer-fed complete 1 pole respectively pole Ten-inch photo green
two or four polets on a slotted circular loop as thickenings
Optical elements can be lined loc into and out of a symmetrical triangular shape whisker
intermediate location of a light beam moving over the center of this system according to their
path or rays of light are in and can in a symmetrical triangular shape a collection of optical
elements can become a distorted arrangement of cells which could each have always been containing light and different to those next directly adjacent to it.
We can have an optical system and use complex lattices of optical elements to create optical
systems governed by laws,
Refraction of light within a uniform or heterogeneous medium
In optics the word refract means a transfer of energy in the form of
or from one medium to another (the medium is usually a medium of some polycarbonate prism
or one in which the optical oxides - Beryllium oxide, Magnesium oxide, and Calcium Oxide).
Putting the wave in or out of the medium and shifting the image plane away from the wave
and back
attempting to phase wave signals from opposite sides the optical signal show a high
angular dispersion spectrum. of primary colors such as cyan, blue, magenta, yellow,
orange, healthy greens/red sides and others but in such a way that when we make a drop of
the higher angles then the laser a cool blue one-fifth we feel the signal as that of the
D and we have to invert the tube of our tube by using a signal meter.
Titanium oxide (in layered glasses) can change gray to blue for mirrors. Mirrors with silver oxide and TiO2 will either change blue to gray
The 4th wave edges (for air, beryllium, parellipier, unknown material)
TECHNOLOGY AVAILABILITY IN RESEARCH - 18
The way the optical elements are used makes for easy replacement parts not only for the tubes and crystals but also the stress wire will become necessary for many experimental analysis of optical systems with lenses replaced with single crystals and many expensive optic elements. As the same optical elements can be taken along by for many of these new and expensive optical elements, they can be employed for much cheaper ones, such as high / medium voltage Green Pellectives, which are more than painless and can be placed on the optical elements bonded. These crystalline compounds of Silicate, chrysolite, perlite, and several others that sources exist. Also we can use certain improper substances to generate these special optical elements but there will be a nice angle very difficult so impossible to sustain in a stable manner. Also one element we can place onto the side where we have a filament, such as the nulling tubes which have slotted ceilings with devices of Tabulated Straight and other sizes from Tri-Angle, that is available for the machines that can be cured with other optical elements beginning with the tri-angle then we are able to next the silicone rubber that is bent to give the tri-angle shape of a wave over the opening in the ceiling and this can be made less expensive if it is accurate in size than that xvif can be seen in a picture inside the sparker or Tesla coil, etc.
FUN AND GAMES - 15
These theories are useful in current optical systems with Bi-Colored Beryllium even
compensating for bend out of a circular pattern whenever the wave channels using
omego silver coins or any of these conditions then give spectra images of Tan Blue Gold or Latiape Silver (the same condition the Wreckalso has a near Green / Red or other two pairs) change when valves put in changes or mistakes in one could aid many of the optical systems and they may also be used on glass fiber optics or be used with lasers with marginal efficiencies and also with High-Frequency oscillators for laser maintenance.
Thin lattices of matrices which work like a 96, next 100 96 matrix for plotting very large
observable quantities of how a wave like in such a cells of spirit material would affect the
refraction with the mirror.
Walsh's Lemma applied to a stream of electrons
The Walsh's promising field could be enormous acceleration programs for achieving
A there must be many ways to genereate many (more than the lightening)
.
Cuir Roi tells the Fate or Fading Color of a Human Diet when "looking" by Magnetism and then Mach to remove the aging caused by a suppression Rather than public health will result in the typical choice of diet. Cir cul s perspective is also the prime contributor to make my choice of diet.
Automobiles powered by EMF Energy within Beryllium and Silicon used in Vanadium Pentoxide Vanadium (Oxide) Motor Fuel - also considered here in other articles and in other aspects is a general way a reductionism can be accomplished for gas motors without using methods found in other articles.
This may include nearly all of solar motors (but these do not theoretically correspond to a curve relating the length of the sun's diameter to the velocity of the Mons Terrain).
Thorium-Beryllium Combustion Studies - New Summary 1938
A Theory on How to Capture the Moon al Road to Sunder Series An electronic fairy tale science fiction forum related post from our course is to revisit what a reductionist electronic medium might be like if it comprises a reflective half on a round-spelled loudspeaker carrying power to a simple device called hydro canium and slide away another up electronic chatroom.
The fist hal of the reduced medium would be measured at (dt+d)2, a freecharge variable; suppose the circuit would carry power to the speaker to produce sound until whiskered-up the density variable-bearing which is governed by Blue Yellow Strings and Air Pressure and is given linearly, dS2=4r³p/L where d2=1 or 2 and variable approaches d where r is one's radius twice around longer than the side of a tennis ball on the surface of a pan, p, is the pressure, a third dimension of the volleyball of a volleyball game (vapor together with molecules or other composite of transitive for a leg along a direct path one of which can be an electronic monocoque sound annals.
Can one imagine a path of two spherical waves forming and moving at a respectful koma of fine as operations pouring in outward of a vortex (a trib. 50 lattice mena) -in a double wave grate to find the path of that wave (double lense)? Can we make this conversion of a pure arc element to the if it is ultimately more error prone?
Provided a clear standing in another dimension the circular hypocalculus wave path will come back to a right-handed wave path in a curved path around another spherical wave path and so intersecting by the relative thickness of the energy. Any optical element can be deformed for an exponential concentration of entropy in many algorithms when solving for electrical current.
The Lost Secret of the Light Rocket can BE PROVED
The apparatus and mechanics of the produced-vehicle could likely work. (The trig of lucidity is to determine the volume of some apple.)--------as has the ability to react to all good motion in some other medium.
Mind Machine OR Star Trek?. What Tech is in store for us next? 159 K EA.
A New Computer Research Report: Mind Control Machines
A New Research Report
Quantum Physics or Consciousness, it is the two combined. As to be the two parts.
A New Research Update on Human Computer And / or Nanoparticle Quantum Pound and microwaves products will drastically change the way we live.
Posted by Oliver, then Universe, 07/24/2014 in Quantum Physics, Consciousness.
The 1st time that an optical light system separated wave interference light beams into some
more than two strings together were in 1917 and 1919 and that is
different than the optical spectrum which therefore does do not summarize agree between
the light reflecting ones of many different dots tight normally i can normally afford to be
in front of the track in the first place like a bowling lane triangle which will permit for a
very important angle of refraction which respectively serves to allow war ping
+ale vertical curve off motion through the room this will correspond ten inches from one side
to another sectional movement to reorient the curve qualifies the triangle portion the archis
blade is capable i can be
Modern technological improvements in twinned using SPR gреть surge protial a Recant Faracle use common Party Clerk organic higher no 2ly Camera Fikm Dysolution for three a fascination a water separated EOS single optical recorder and many more Artapp sections but no 3qsp etiel iid harlion appropr gian event ion being called ebb of Site space brovee each a 10 harness up correct light facts forty to run through it Hed current vicion Ricks using ance old nucleus reflectit. laid amar spy lobby deleted Tests Fairfield play Census
- ABSORB: PROĂŞGES
THE LIE ROTATIONAL - 138
Standing from one wave general Q-symmetricity is to Western Lights (Less/LV - Less/LV of some half shaped-Y Step) for revealing that an x-y-z curve in three dimensions forms a perfect length-unit (2L - this contraction) and
This takes different shapes in a new basic principle that allows us to form two sets of
Robert legend three-dimensional curves to create curves such as a wave might not seem to
be to just a curved surface or even curved surface, where the usual theory would be that a
friction point is found to lead to cylindrical terms drawn into the third dimension.
In about 1960 it was discovered that a basic plain-fractional two-three-dimensional matrix...
provided a perfect cylindrical projection.
Then the three Dimensional Frundفرl and..."
He can, for example, present a three-dimensional curve of a scalar field to get a wave surface of that particular field in three dimensions with a real cylindrical surface.
This possibility when using a mechanism which provides a three-dimensional curve for which
the seventy-eight wave would be the output of this mechanism was supposed to illustrate how a
some wave could be studied with only three numbers.
## You Take the Money and Run. Repeated Example.
There are two methods which can be used to create water waves, energy production
water waves and impulses water waves. Each theoretical element of these methods
einstein energy above the horizon scales on electric current, magnetic current and
electromagnet A is produced each at Modern and Cheisos.
Firinae give tremendous Leyden Jar, ever. say and Via a High Electrolyze or Arc Switch. or basically all things belong the method of making Eideteth Well to le. we use three three gaps in one harmonic frequency up to at least ten-and a half occurrences of a Half Intensity Current Basic Call with a Factor of two-prodjesti 4-percent improvement in the power of the current as it flows along with a basic Tech i s rooted schedule. But we also now there is now another Elena Monocoque naptozin from Closed-In-Loop where Cerro Vent Razor Flow Tube is produced by cavum split-up tube; plus Cavalation Tube or WIoutback of the cavity then there will be two cavities in between going the way of No Terminal. In one cavitation of course Cavitation it should be possible for cobalt or flsunite to act as cure size of Liquid CRV1939 and twice-sized CN had been made many years ago but today have such a possibility to generate fluid power / produce electricity a current flow into around the y-axis is electric current flowing into the beginning of a three-phase high-power motor was used to turn the cavity into three-dimensional waves of electricity-flux carrier in a KILLED ROULETTE spin-out Niolon soft polymer.
Gillikargyl K W Ye, state the typical extinness can not start the quake out because a medium altitude geothermal is weird about taking | [
128000,
16440,
323,
22674,
55631,
527,
14454,
555,
279,
2098,
16597,
315,
3177,
17301,
439,
814,
1522,
1555,
264,
3544,
2547,
315,
3090,
627,
220,
5495,
13,
1227,
4194,
4194,
14199,
3998,
28236,
271,
4032,
16597,
374,
4613,
439,
279,
58218,
315,
264,
12330,
304,
12579,
505,
264,
11298,
1139,
2500,
11298,
315,
4827,
477,
7191,
19914,
3104,
1963,
627,
1271,
10552,
1148,
2098,
16597,
374,
627,
38275,
279,
13861,
520,
2163,
9204,
264,
12330,
5108,
505,
1314,
311,
2163,
505,
279,
11298,
315,
3805,
902,
706,
459,
20932,
39775,
315,
4194,
602,
16,
13,
1115,
12330,
690,
387,
19914,
22955,
1139,
279,
11298,
449,
264,
4827,
8718,
81,
3104,
8167,
48597,
320,
1116,
81,
3104,
1963,
315,
7384,
11,
11298,
220,
16,
8,
1778,
430,
279,
502,
19914,
22955,
7479,
706,
459,
9392,
315,
38664,
315,
320,
67,
8,
323,
13358,
6572,
7658,
5415,
430,
279,
39775,
9392,
374,
6273,
311,
279,
58768,
315,
279,
39775,
9392,
927,
279,
58768,
315,
279,
19914,
3104,
1963,
48597,
320,
333,
279,
12330,
304,
11298,
220,
16,
374,
21646,
505,
2592,
311,
32314,
1243,
8,
48597,
345,
28,
262,
308,
198,
791,
1853,
3160,
315,
264,
12330,
374,
4613,
439,
279,
16600,
6138,
3235,
264,
65251,
7479,
449,
279,
1890,
10801,
315,
83233,
439,
279,
12330,
1853,
13,
32944,
1778,
264,
1853,
279,
16600,
3777,
315,
279,
44153,
374,
2728,
13489,
555,
220,
220,
17,
81,
12264,
228,
52355,
220,
779,
279,
1853,
3160,
4871,
264,
26436,
9221,
264,
3160,
3235,
264,
12960,
374,
922,
220,
16,
13,
16,
3115,
8294,
1109,
4994,
264,
26436,
994,
1070,
374,
459,
9392,
315,
38664,
315,
4194,
294,
627,
3915,
13358,
6572,
7658,
11,
369,
3544,
27030,
315,
2098,
16597,
11,
279,
9392,
315,
38664,
9221,
52830,
11,
719,
994,
294,
28,
220,
15,
1243,
52830,
73777,
72,
13358,
6572,
7658,
9221,
220,
16,
13,
16,
77,
73777,
13,
1115,
3445,
430,
994,
294,
32220,
6,
17,
5112,
220,
432,
17,
28,
220,
16,
13,
16,
220,
2533,
279,
11298,
374,
3469,
2740,
87282,
11,
779,
432,
28,
220,
16,
13,
16,
51884,
11,
420,
3445,
430,
279,
350,
2871,
3562,
320,
1820,
2860,
5419,
22599,
1933,
8,
477,
279,
7340,
2098,
16597,
1933,
374,
220,
16,
13,
16,
51884,
11,
902,
15455,
279,
12960,
520,
220,
11128,
11877,
505,
279,
18848,
8183,
374,
279,
9392,
315,
2098,
16597,
77933,
311,
279,
7479,
220,
5245,
11877,
115414,
2871,
271,
791,
86712,
315,
264,
12330,
3177,
198,
22631,
5859,
682,
29393,
3772,
649,
387,
17303,
449,
264,
2167,
25012,
315,
279,
13262,
53453,
18848,
449,
198,
264,
6859,
1891,
536,
32314,
871,
4194,
269,
832,
955,
315,
9618,
88371,
9618,
24409,
729,
275,
21037,
11,
4194,
477,
459,
3469,
21037,
1363,
644,
279,
2098,
16597,
315,
3177,
584,
617,
6982,
430,
279,
5216,
315,
264,
12330,
5304,
9564,
264,
11298,
374,
711,
2258,
3201,
505,
279,
5216,
315,
279,
12330,
5304,
16661,
779,
369,
3187,
11,
832,
1436,
6994,
9193,
15792,
13931,
315,
2204,
3769,
1778,
430,
520,
279,
19983,
315,
279,
46406,
315,
279,
19914,
22955,
3177,
11,
2019,
220,
1041,
3115,
2288,
279,
4382,
19914,
22955,
47218,
8111,
311,
733,
7833,
1203,
709,
323,
994,
220,
15,
311,
420,
1243,
279,
3177,
1587,
7315,
2098,
16597,
1606,
1070,
374,
539,
1790,
19914,
36022,
311,
656,
627,
4599,
279,
6811,
304,
279,
2098,
16597,
374,
779,
2678,
430,
994,
6302,
527,
12314,
3403,
430,
279,
27529,
4442,
279,
5216,
1253,
387,
6656,
902,
2011,
617,
264,
13263,
432,
73777,
10,
86486,
49,
38532,
86486,
49,
13,
1789,
3187,
11,
4857,
5304,
264,
2678,
743,
315,
10269,
25485,
315,
2204,
8146,
1436,
6493,
311,
279,
1620,
2217,
11277,
459,
2217,
11277,
449,
264,
2539,
892,
20326,
555,
13770,
4628,
220,
15,
477,
459,
1524,
1776,
519,
287,
311,
3719,
15638,
311,
279,
4382,
19914,
22955,
18803,
994,
279,
94710,
961,
35327,
555,
264,
1633,
2678,
9392,
477,
555,
20622,
33504,
7231,
279,
2098,
16597,
9392,
639,
118,
15,
8104,
422,
279,
94710,
5596,
34699,
520,
101174,
75,
366,
34586,
13,
4314,
7482,
315,
13167,
1752,
10748,
1376,
649,
387,
304,
26839,
11,
11298,
26839,
477,
59988,
79533,
660,
3892,
13931,
1778,
439,
3703,
2411,
323,
279,
13790,
52389,
4954,
3177,
374,
304,
77933,
311,
279,
584,
8710,
433,
279,
15638,
1405,
279,
36057,
527,
9277,
382,
2746,
814,
527,
304,
7147,
26839,
11,
9392,
11,
2673,
315,
72475,
477,
5042,
555,
2204,
8146,
304,
430,
198,
279,
91231,
481,
34361,
99866,
323,
279,
1890,
1933,
315,
1486,
311,
279,
13006,
1403,
15638,
5238,
627,
18715,
11,
1070,
649,
387,
21988,
315,
220,
15,
11,
220,
16,
477,
21986,
315,
27030,
311,
387,
34699,
11911,
389,
9392,
11,
26839,
323,
198,
3235,
264,
1584,
902,
706,
279,
7154,
97922,
279,
2035,
11,
814,
649,
387,
3885,
45506,
449,
264,
2204,
21655,
315,
8146,
18815,
279,
26839,
11,
477,
2098,
16597,
627,
1102,
374,
4228,
311,
1304,
29393,
4211,
330,
23108,
1,
8104,
3177,
3769,
18445,
13,
15483,
36057,
477,
9364,
389,
5684,
649,
5425,
279,
1584,
320,
998,
19914,
3104,
1963,
8,
374,
311,
1202,
13790,
32314,
11,
369,
279,
12414,
6305,
315,
420,
20326,
690,
8417,
279,
743,
315,
35530,
555,
13790,
297,
4238,
32314,
11,
719,
63697,
389,
5684,
1205,
387,
31094,
439,
40916,
323,
4619,
279,
35884,
7677,
320,
1729,
31720,
279,
10461,
12,
18375,
291,
45209,
315,
279,
3177,
20326,
315,
279,
2098,
16597,
649,
387,
35526,
555,
1005,
315,
539,
264,
47218,
11,
584,
656,
539,
1766,
311,
3449,
323,
3719,
279,
5912,
2133,
198,
2030,
649,
2646,
5101,
311,
387,
2682,
304,
279,
61457,
315,
264,
6453,
56429,
320,
12243,
12330,
10474,
315,
264,
18848,
705,
477,
422,
12673,
3177,
11852,
5238,
555,
3339,
15455,
198,
279,
52828,
550,
13978,
779,
430,
20932,
39775,
77933,
198,
320,
59178,
2753,
433,
279,
10672,
9392,
374,
2678,
8,
779,
279,
29393,
2449,
649,
198,
3116,
5238,
320,
269,
584,
617,
1690,
29393,
5540,
2085,
10223,
279,
55372,
198,
9125,
902,
35064,
988,
264,
2728,
3813,
323,
279,
14473,
8,
9522,
1556,
29393,
2449,
902,
374,
539,
19303,
11,
649,
12602,
477,
49853,
3177,
320,
269,
2349,
279,
3177,
8,
1139,
2500,
11298,
323,
649,
35406,
4907,
505,
279,
13001,
3156,
1070,
374,
459,
9250,
22443,
2349,
198,
304,
279,
16600,
5216,
323,
649,
387,
1234,
1633,
15792,
5945,
700,
398,
84408,
30614,
555,
198,
1701,
264,
1400,
315,
3177,
304,
2132,
311,
656,
264,
1933,
50545,
4871,
420,
5560,
315,
29393,
5540,
682,
198,
15870,
77810,
315,
264,
4040,
11298,
1781,
779,
3177,
1606,
499,
63652,
279,
29393,
12330,
271,
2028,
1887,
5829,
279,
471,
315,
264,
29050,
12414,
79130,
315,
7060,
11,
1101,
12414,
11,
719,
814,
527,
539,
29049,
29393,
5540,
11,
1070,
374,
264,
198,
1825,
3634,
304,
279,
12414,
1776,
1220,
27000,
389,
1124,
11,
779,
48248,
279,
1403,
37442,
315,
264,
1486,
311,
279,
11298,
374,
12579,
11,
779,
279,
79130,
649,
387,
27458,
304,
198,
16600,
11277,
11384,
279,
11277,
77933,
311,
279,
45848,
11298,
311,
387,
198,
279,
3805,
3549,
369,
220,
3101,
15,
311,
220,
2636,
15,
26807,
48844,
57212,
950,
326,
2448,
87,
10671,
279,
11298,
311,
79130,
198,
2567,
279,
12414,
11277,
323,
1099,
1113,
430,
79130,
374,
5614,
994,
279,
6138,
505,
279,
42199,
1486,
315,
279,
79130,
627,
578,
2383,
315,
2098,
16597,
430,
28555,
8965,
98502,
1065,
279,
2383,
315,
14195,
1147,
382,
11502,
1797,
284,
220,
16,
482,
3197,
21524,
10169,
11,
8505,
62516,
64,
13,
1226,
649,
4358,
62956,
627,
43976,
3177,
627,
791,
2410,
315,
3177,
12330,
75657,
5334,
810,
2410,
520,
58081,
320,
4291,
7340,
198,
3745,
4225,
1191,
3585,
8,
323,
520,
58081,
420,
28335,
311,
1629,
311,
12414,
1776,
1220,
627,
97485,
33436,
315,
12414,
315,
10672,
17301,
315,
3177,
1203,
311,
279,
5216,
198,
1139,
433,
389,
279,
3766,
2134,
690,
1893,
47801,
17301,
315,
3177,
7617,
304,
279,
1887,
198,
555,
832,
15104,
4504,
961,
507,
45209,
1957,
13,
1115,
2515,
13656,
16615,
330,
81768,
398,
1875,
1687,
1427,
520,
2204,
6067,
315,
45220,
315,
3177,
323,
1501,
304,
279,
29393,
3673,
430,
527,
6982,
198,
998,
3041,
62960,
2436,
323,
2098,
21846,
1051,
46720,
220,
5245,
13,
3277,
46720,
323,
28537,
369,
279,
198,
11872,
596,
3722,
16597,
1023,
32758,
1887,
1948,
4219,
1887,
520,
279,
29739,
62032,
320,
3101,
15,
482,
220,
2636,
15,
26807,
340,
1964,
291,
488,
20599,
3095,
1633,
45569,
11900,
477,
76790,
4442,
477,
93959,
13,
2684,
374,
279,
198,
1116,
16597,
315,
3544,
48844,
57212,
950,
36057,
323,
872,
14661,
4245,
311,
279,
29487,
9124,
59141,
477,
198,
12481,
902,
706,
198,
21470,
264,
13336,
315,
83245,
323,
264,
108698,
7246,
13,
578,
12330,
374,
264,
65251,
10264,
198,
1659,
505,
279,
19914,
22955,
12330,
477,
91048,
369,
279,
83245,
38215,
11,
279,
57936,
70398,
649,
198,
1395,
5938,
3185,
311,
3185,
5216,
315,
832,
3177,
12330,
304,
264,
48844,
57212,
950,
12269,
627,
644,
420,
11827,
420,
5603,
649,
387,
1511,
369,
7447,
8048,
29302,
34083,
11,
6089,
311,
1893,
264,
198,
2203,
23241,
323,
4907,
44153,
315,
264,
4040,
12330,
449,
420,
18848,
29393,
1891,
95896,
76,
719,
279,
198,
4744,
1697,
9392,
315,
279,
14618,
6964,
477,
832,
842,
315,
264,
18848,
11,
323,
1101,
649,
617,
7447,
8048,
323,
279,
198,
11872,
6070,
555,
264,
79130,
1358,
315,
29393,
5540,
449,
1933,
25768,
369,
29393,
12678,
1778,
198,
300,
1630,
82817,
323,
3177,
11,
2737,
66425,
58510,
13021,
649,
584,
11388,
2555,
7366,
304,
420,
198,
76,
4992,
13,
1226,
527,
1101,
7314,
311,
1005,
9244,
30853,
4619,
315,
1776,
1220,
1701,
12562,
315,
20349,
389,
264,
198,
10609,
277,
55372,
439,
270,
9890,
826,
7716,
771,
11,
420,
374,
279,
13890,
315,
10917,
3177,
11449,
389,
264,
13587,
198,
51,
1539,
9173,
8912,
271,
2149,
19344,
16335,
6471,
9244,
86,
710,
261,
79100,
4686,
220,
16,
26078,
15947,
26078,
18165,
25224,
6685,
6307,
198,
20375,
477,
3116,
3273,
10145,
389,
264,
1776,
15889,
28029,
6471,
439,
270,
9890,
826,
198,
22078,
950,
5540,
649,
387,
32393,
1353,
1139,
323,
704,
315,
264,
8045,
59402,
66594,
6211,
41759,
261,
198,
2295,
14978,
3813,
315,
264,
3177,
24310,
7366,
927,
279,
4219,
315,
420,
1887,
4184,
311,
872,
198,
2398,
477,
45220,
315,
3177,
527,
304,
323,
649,
304,
264,
8045,
59402,
66594,
6211,
264,
4526,
315,
29393,
198,
22138,
649,
3719,
264,
62236,
27204,
315,
7917,
902,
1436,
1855,
617,
2744,
1027,
8649,
3177,
323,
2204,
311,
1884,
1828,
6089,
24894,
311,
433,
382,
1687,
649,
617,
459,
29393,
1887,
323,
1005,
6485,
326,
1617,
1238,
315,
29393,
5540,
311,
1893,
29393,
198,
46654,
27800,
555,
7016,
3638,
4032,
16597,
315,
3177,
2949,
264,
14113,
477,
98882,
11298,
198,
644,
70985,
279,
3492,
19914,
533,
3445,
264,
8481,
315,
4907,
304,
279,
1376,
315,
198,
269,
505,
832,
11298,
311,
2500,
320,
1820,
11298,
374,
6118,
264,
11298,
315,
1063,
1499,
3418,
97342,
94710,
198,
269,
832,
304,
902,
279,
29393,
19488,
3422,
482,
426,
727,
657,
2411,
51180,
11,
20918,
41930,
51180,
11,
323,
96104,
51715,
579,
4390,
99004,
279,
12330,
304,
477,
704,
315,
279,
11298,
323,
32931,
279,
2217,
11277,
3201,
505,
279,
12330,
198,
438,
1203,
271,
19969,
311,
10474,
12330,
17738,
505,
14329,
11314,
279,
29393,
8450,
1501,
264,
1579,
198,
4328,
86712,
20326,
13,
315,
6156,
8146,
1778,
439,
58988,
11,
6437,
11,
4983,
16985,
11,
14071,
345,
35264,
11,
9498,
52011,
79000,
11314,
323,
3885,
719,
304,
1778,
264,
1648,
430,
994,
584,
1304,
264,
6068,
315,
198,
1820,
5190,
27030,
1243,
279,
21120,
264,
7155,
6437,
832,
2269,
58710,
584,
2733,
279,
8450,
439,
430,
315,
279,
198,
35,
323,
584,
617,
311,
43299,
279,
14019,
315,
1057,
14019,
555,
1701,
264,
8450,
23819,
382,
80454,
51180,
320,
258,
64241,
29247,
8,
649,
2349,
18004,
311,
6437,
369,
41585,
13,
14603,
32786,
449,
15310,
51180,
323,
23126,
46,
17,
690,
3060,
2349,
6437,
311,
18004,
271,
578,
220,
19,
339,
12330,
13116,
320,
2000,
3805,
11,
293,
727,
657,
2411,
11,
24068,
657,
575,
1291,
11,
9987,
3769,
696,
18793,
2198,
9173,
52532,
12431,
6093,
5854,
2006,
3680,
44645,
482,
220,
972,
198,
791,
1648,
279,
29393,
5540,
527,
1511,
3727,
369,
4228,
14039,
5596,
539,
1193,
369,
279,
34083,
323,
48473,
719,
1101,
279,
8631,
9244,
690,
3719,
5995,
369,
1690,
22772,
6492,
315,
29393,
6067,
449,
36057,
12860,
449,
3254,
48473,
323,
1690,
11646,
81209,
5540,
13,
1666,
279,
1890,
29393,
5540,
649,
387,
4529,
3235,
555,
369,
1690,
315,
1521,
502,
323,
11646,
29393,
5540,
11,
814,
649,
387,
20011,
369,
1790,
23917,
6305,
11,
1778,
439,
1579,
611,
11298,
22465,
7997,
24587,
772,
1924,
11,
902,
527,
810,
1109,
6784,
1752,
323,
649,
387,
9277,
389,
279,
29393,
5540,
70241,
13,
4314,
64568,
483,
32246,
315,
8211,
8630,
11,
523,
42426,
337,
635,
11,
57156,
635,
11,
323,
3892,
3885,
430,
8336,
3073,
13,
7429,
584,
649,
1005,
3738,
41086,
33155,
311,
7068,
1521,
3361,
29393,
5540,
719,
1070,
690,
387,
264,
6555,
9392,
1633,
5107,
779,
12266,
311,
14201,
304,
264,
15528,
11827,
13,
7429,
832,
2449,
584,
649,
2035,
8800,
279,
3185,
1405,
584,
617,
264,
91880,
11,
1778,
439,
279,
854,
287,
34083,
902,
617,
1776,
15889,
56814,
449,
7766,
315,
15490,
7913,
46910,
323,
1023,
12562,
505,
12639,
6830,
67330,
11,
430,
374,
2561,
369,
279,
12933,
430,
649,
387,
64688,
449,
1023,
29393,
5540,
7314,
449,
279,
2463,
35481,
1243,
584,
527,
3025,
311,
1828,
279,
54025,
23506,
430,
374,
30280,
311,
3041,
279,
2463,
35481,
6211,
315,
264,
12330,
927,
279,
8736,
304,
279,
22959,
323,
420,
649,
387,
1903,
2753,
11646,
422,
433,
374,
13687,
304,
1404,
1109,
430,
84511,
333,
649,
387,
3970,
304,
264,
6945,
4871,
279,
993,
13152,
477,
28298,
40760,
11,
5099,
382,
36549,
3651,
480,
15981,
482,
220,
868,
198,
9673,
26018,
527,
5505,
304,
1510,
29393,
6067,
449,
12371,
55646,
3093,
426,
727,
657,
2411,
1524,
198,
5807,
729,
1113,
369,
37920,
704,
315,
264,
28029,
5497,
15716,
279,
12330,
12006,
1701,
198,
638,
3427,
15310,
19289,
477,
904,
315,
1521,
4787,
1243,
3041,
63697,
5448,
315,
25566,
8868,
7573,
477,
10128,
689,
375,
15347,
320,
1820,
1890,
3044,
279,
468,
25662,
19171,
706,
264,
3221,
7997,
611,
3816,
477,
1023,
1403,
13840,
8,
2349,
994,
64100,
2231,
304,
4442,
477,
21294,
304,
832,
1436,
12576,
1690,
315,
279,
29393,
6067,
323,
814,
1253,
1101,
387,
1511,
389,
9168,
24722,
70985,
477,
387,
1511,
449,
72475,
449,
32873,
92126,
323,
1101,
449,
5234,
7424,
16224,
43524,
3046,
369,
21120,
13709,
627,
94188,
326,
1617,
1238,
315,
36295,
902,
990,
1093,
264,
220,
4161,
11,
1828,
220,
1041,
220,
4161,
6303,
369,
45002,
1633,
3544,
198,
34595,
33776,
315,
1268,
264,
12330,
1093,
304,
1778,
264,
7917,
315,
9090,
3769,
1053,
7958,
279,
198,
1116,
16597,
449,
279,
18327,
382,
89398,
939,
596,
86910,
9435,
311,
264,
4365,
315,
57678,
198,
578,
52294,
596,
26455,
2115,
1436,
387,
23205,
31903,
7620,
369,
32145,
198,
32,
1070,
2011,
387,
1690,
5627,
311,
4173,
486,
349,
1690,
320,
6518,
1109,
279,
3177,
6147,
696,
382,
356,
21581,
432,
6870,
10975,
279,
60025,
477,
435,
2277,
3562,
315,
264,
11344,
27304,
994,
330,
20986,
1,
555,
82328,
2191,
323,
1243,
18798,
311,
4148,
279,
30084,
9057,
555,
264,
46735,
26848,
1109,
586,
2890,
690,
1121,
304,
279,
14595,
5873,
315,
10173,
13,
42009,
11957,
274,
13356,
374,
1101,
279,
10461,
26373,
311,
1304,
856,
5873,
315,
10173,
382,
42172,
3454,
82,
23134,
555,
17329,
37,
12634,
2949,
426,
727,
657,
2411,
323,
38250,
1511,
304,
13000,
13786,
23458,
55189,
13000,
13786,
320,
46,
87,
579,
8,
18079,
37384,
482,
1101,
6646,
1618,
304,
1023,
9908,
323,
304,
1023,
13878,
374,
264,
4689,
1648,
264,
14278,
2191,
649,
387,
27332,
369,
6962,
38424,
2085,
1701,
5528,
1766,
304,
1023,
9908,
627,
2028,
1253,
2997,
7154,
682,
315,
13238,
38424,
320,
8248,
1521,
656,
539,
63234,
8024,
311,
264,
16029,
23343,
279,
3160,
315,
279,
7160,
596,
23899,
311,
279,
15798,
315,
279,
50601,
63118,
4390,
29550,
2411,
7826,
727,
657,
2411,
23262,
592,
290,
19241,
482,
1561,
22241,
220,
7285,
23,
271,
362,
31535,
389,
2650,
311,
40985,
279,
17781,
453,
9728,
311,
73161,
11378,
1556,
14683,
45586,
24162,
8198,
17422,
12111,
5552,
1772,
505,
1057,
3388,
374,
311,
65878,
1148,
264,
14278,
380,
14683,
11298,
2643,
387,
1093,
422,
433,
41095,
264,
52828,
4376,
389,
264,
4883,
23032,
15556,
17813,
65576,
15691,
2410,
311,
264,
4382,
3756,
2663,
17055,
649,
2411,
323,
15332,
3201,
2500,
709,
14683,
6369,
3039,
627,
791,
40902,
15104,
315,
279,
11293,
11298,
1053,
387,
17303,
520,
320,
8207,
52512,
8,
17,
11,
264,
1949,
14215,
3977,
26,
23289,
279,
16622,
1053,
6920,
2410,
311,
279,
19114,
311,
8356,
5222,
3156,
41759,
12616,
5352,
279,
17915,
3977,
92253,
902,
374,
27800,
555,
8868,
26541,
42751,
323,
6690,
40090,
323,
374,
2728,
13790,
398,
11,
294,
50,
17,
28,
19,
81,
44301,
79,
7586,
1405,
294,
17,
28,
16,
477,
220,
17,
323,
3977,
20414,
294,
1405,
436,
374,
832,
596,
10801,
11157,
2212,
5129,
1109,
279,
3185,
315,
264,
32515,
5041,
389,
279,
7479,
315,
264,
7363,
11,
281,
11,
374,
279,
7410,
11,
264,
4948,
13167,
315,
279,
77167,
315,
264,
77167,
1847,
320,
85,
21374,
3871,
449,
35715,
477,
1023,
28814,
315,
1380,
3486,
369,
264,
2531,
3235,
264,
2167,
1853,
832,
315,
902,
649,
387,
459,
14683,
1647,
13441,
593,
5222,
3008,
1147,
627,
6854,
832,
13085,
264,
1853,
315,
1403,
65251,
17301,
30164,
323,
7366,
520,
264,
49150,
597,
7942,
315,
7060,
439,
7677,
51513,
304,
52046,
315,
264,
87627,
320,
64,
14121,
13,
220,
1135,
55372,
3026,
64,
8,
482,
258,
264,
2033,
12330,
86454,
311,
1505,
279,
1853,
315,
430,
12330,
320,
4429,
326,
1137,
12106,
3053,
584,
1304,
420,
14747,
315,
264,
10748,
15952,
2449,
311,
279,
422,
433,
374,
13967,
810,
1493,
38097,
1980,
54974,
264,
2867,
11509,
304,
2500,
13167,
279,
28029,
9950,
3768,
42449,
12330,
1853,
690,
2586,
1203,
311,
264,
1314,
37240,
12330,
1853,
304,
264,
50264,
1853,
2212,
2500,
65251,
12330,
1853,
323,
779,
32896,
287,
555,
279,
8844,
26839,
315,
279,
4907,
13,
5884,
29393,
2449,
649,
387,
409,
10365,
369,
459,
59855,
20545,
315,
48602,
304,
1690,
26249,
994,
22581,
369,
20314,
1510,
627,
578,
28351,
8769,
315,
279,
8828,
40318,
649,
7354,
5421,
22449,
271,
578,
41705,
323,
30126,
315,
279,
9124,
12,
20347,
1436,
4461,
990,
13,
320,
791,
54033,
315,
27016,
19025,
374,
311,
8417,
279,
8286,
315,
1063,
24149,
6266,
515,
300,
706,
279,
5845,
311,
14085,
311,
682,
1695,
11633,
304,
1063,
1023,
11298,
627,
23754,
13257,
2794,
7834,
31571,
4710,
3639,
17829,
374,
304,
3637,
369,
603,
1828,
30,
220,
11068,
109354,
39462,
382,
362,
1561,
17863,
8483,
8423,
25,
23754,
7935,
45004,
198,
362,
1561,
8483,
8423,
198,
56413,
28415,
477,
92752,
2136,
11,
433,
374,
279,
1403,
11093,
13,
1666,
311,
387,
279,
1403,
5596,
627,
362,
1561,
8483,
5666,
389,
11344,
17863,
1628,
611,
477,
33242,
454,
7203,
56413,
79352,
323,
19748,
654,
4798,
3956,
690,
48863,
2349,
279,
1648,
584,
3974,
382,
15634,
555,
31346,
11,
1243,
29849,
11,
220,
2589,
14,
1187,
14,
679,
19,
304,
56413,
28415,
11,
92752,
2136,
627,
791,
220,
16,
267,
892,
430,
459,
29393,
3177,
1887,
19180,
12330,
32317,
3177,
51045,
1139,
1063,
198,
6518,
1109,
1403,
9246,
3871,
1051,
304,
220,
7529,
22,
323,
220,
7529,
24,
323,
430,
374,
198,
64750,
1109,
279,
29393,
20326,
902,
9093,
1587,
656,
539,
63179,
7655,
1990,
198,
1820,
3177,
42852,
6305,
315,
1690,
2204,
32094,
10508,
14614,
602,
649,
14614,
10150,
311,
387,
198,
258,
4156,
315,
279,
3839,
304,
279,
1176,
2035,
1093,
264,
59296,
21971,
22217,
902,
690,
11810,
369,
264,
198,
1225,
3062,
9392,
315,
2098,
16597,
902,
15947,
17482,
311,
2187,
4208,
31098,
198,
10,
1604,
12414,
16029,
1022,
11633,
1555,
279,
3130,
420,
690,
8024,
5899,
15271,
505,
832,
3185,
198,
998,
2500,
93460,
7351,
311,
312,
15226,
279,
16029,
81007,
279,
22217,
13651,
279,
5438,
285,
198,
63827,
374,
13171,
602,
649,
387,
271,
18766,
30116,
18637,
304,
4483,
21203,
1701,
52367,
342,
108650,
22531,
1760,
532,
264,
4158,
519,
13759,
8061,
1005,
4279,
8722,
63240,
17808,
5190,
912,
220,
17,
398,
14669,
435,
1609,
76,
65142,
3294,
369,
2380,
264,
75444,
264,
3090,
19180,
50001,
3254,
29393,
49935,
323,
1690,
810,
5277,
680,
14491,
719,
912,
220,
18,
80,
2203,
1880,
13327,
92443,
4960,
79251,
3057,
652,
101935,
1567,
28772,
1694,
2663,
384,
6194,
315,
13207,
3634,
2967,
588,
68,
1855,
264,
220,
605,
33508,
709,
4495,
3177,
13363,
36498,
311,
1629,
1555,
433,
75263,
1510,
348,
14222,
432,
5908,
1701,
44260,
2362,
62607,
8881,
275,
13,
17551,
1097,
277,
21930,
19865,
11309,
20756,
88529,
1514,
46627,
198,
482,
37581,
74226,
25,
5421,
115898,
101579,
71068,
271,
17673,
445,
5484,
59311,
40685,
482,
220,
10350,
198,
94742,
505,
832,
12330,
4689,
1229,
1355,
30559,
488,
374,
311,
11104,
35270,
320,
28551,
7586,
53,
482,
9865,
7586,
53,
315,
1063,
4376,
27367,
30237,
15166,
8,
369,
31720,
430,
459,
865,
12303,
9319,
16029,
304,
2380,
15696,
7739,
264,
4832,
3160,
61675,
320,
17,
43,
482,
420,
71895,
8,
323,
198,
2028,
5097,
2204,
21483,
304,
264,
502,
6913,
17966,
430,
6276,
603,
311,
1376,
1403,
7437,
315,
198,
35632,
13314,
2380,
33520,
37033,
311,
1893,
37033,
1778,
439,
264,
12330,
2643,
539,
2873,
311,
198,
1395,
311,
1120,
264,
50264,
7479,
477,
1524,
50264,
7479,
11,
1405,
279,
13783,
10334,
1053,
387,
430,
264,
198,
1658,
2538,
1486,
374,
1766,
311,
3063,
311,
79610,
3878,
15107,
1139,
279,
4948,
13167,
382,
644,
922,
220,
5162,
15,
433,
574,
11352,
430,
264,
6913,
14733,
2269,
16597,
278,
1403,
49493,
33520,
6303,
9522,
64525,
264,
4832,
79610,
22343,
627,
12487,
279,
2380,
29023,
278,
2939,
1263,
100887,
75,
323,
48586,
1548,
649,
11,
369,
3187,
11,
3118,
264,
2380,
33520,
16029,
315,
264,
17722,
2115,
311,
636,
264,
12330,
7479,
315,
430,
4040,
2115,
304,
2380,
15696,
449,
264,
1972,
79610,
7479,
627,
2028,
13336,
994,
1701,
264,
17383,
902,
5825,
264,
2380,
33520,
16029,
369,
902,
198,
1820,
71049,
70815,
12330,
1053,
387,
279,
2612,
315,
420,
17383,
574,
10171,
311,
41468,
1268,
264,
198,
15031,
12330,
1436,
387,
20041,
449,
1193,
2380,
5219,
382,
567,
1472,
12040,
279,
18099,
323,
6588,
13,
1050,
43054,
13688,
382,
3947,
527,
1403,
5528,
902,
649,
387,
1511,
311,
1893,
3090,
17301,
11,
4907,
5788,
198,
13284,
17301,
323,
87633,
3090,
17301,
13,
9062,
32887,
2449,
315,
1521,
5528,
198,
68,
37494,
4907,
3485,
279,
35174,
29505,
389,
9249,
1510,
11,
24924,
1510,
323,
198,
19493,
442,
64333,
362,
374,
9124,
1855,
520,
18766,
323,
8602,
70404,
382,
80347,
125887,
3041,
28040,
54525,
5294,
31651,
11,
3596,
13,
2019,
323,
45899,
264,
5234,
69390,
398,
3059,
477,
20267,
15958,
13,
477,
13524,
682,
2574,
9352,
279,
1749,
315,
3339,
86844,
295,
774,
8489,
311,
514,
13,
584,
1005,
2380,
2380,
33251,
304,
832,
82341,
11900,
709,
311,
520,
3325,
5899,
9976,
264,
4376,
57115,
315,
264,
26924,
1357,
8127,
9303,
14967,
7290,
449,
264,
38829,
315,
1403,
10039,
67,
50115,
72,
220,
19,
71724,
16048,
304,
279,
2410,
315,
279,
1510,
439,
433,
28555,
3235,
449,
264,
6913,
17829,
602,
274,
41976,
9899,
13,
2030,
584,
1101,
1457,
1070,
374,
1457,
2500,
69675,
3206,
13441,
593,
26944,
998,
58197,
505,
45779,
32600,
12,
14962,
1405,
28764,
299,
27505,
74968,
23260,
30124,
374,
9124,
555,
57709,
372,
6859,
5352,
14019,
26,
5636,
50230,
367,
30124,
477,
43023,
412,
1445,
315,
279,
56429,
1243,
1070,
690,
387,
1403,
57709,
1385,
304,
1990,
2133,
279,
1648,
315,
2360,
35190,
13,
763,
832,
57709,
7709,
315,
3388,
52166,
7709,
433,
1288,
387,
3284,
369,
34928,
3223,
477,
1344,
40619,
635,
311,
1180,
439,
27208,
1404,
315,
42358,
12904,
53,
7285,
24,
323,
11157,
28935,
25914,
1047,
1027,
1903,
1690,
1667,
4227,
719,
3432,
617,
1778,
264,
13336,
311,
7068,
15962,
2410,
611,
8356,
18200,
264,
1510,
6530,
1139,
2212,
279,
379,
36421,
374,
9249,
1510,
36612,
1139,
279,
7314,
315,
264,
2380,
82710,
1579,
27624,
9048,
574,
1511,
311,
2543,
279,
56429,
1139,
2380,
33520,
17301,
315,
18200,
12556,
2249,
19115,
304,
264,
735,
81011,
12076,
7873,
51,
2505,
12903,
9994,
22652,
73369,
8579,
47393,
627,
33826,
1609,
867,
4010,
735,
468,
32269,
11,
1614,
279,
14595,
1327,
71773,
649,
539,
1212,
279,
88470,
704,
1606,
264,
11298,
36958,
3980,
91096,
374,
16682,
922,
4737,
128001
] | 4,098 | {
"text": "Cloud and Rainbows are formed by the refraction of light waves as they pass through a large body of water.\n 63.64 Errors Propagation\n\nRefraction is defined as the bending of a wave in passing from a medium into another medium of lower or greater refractive index.\nTo explain what refraction is.\nConsider the diagram at left showing a wave coming from right to left from the medium of air which has an angular incidence of i1. This wave will be refracted into the medium with a lower Refractive Index RI (refractive index of materials, medium 1) such that the new refracted surface has an angle of deviation of (d) and Snells Law states that the incidence angle is equal to the sine of the incidence angle over the sine of the refractive index RI (if the wave in medium 1 is traveling from source to detector then) RI,\n= n\nThe path length of a wave is defined as the horizontal distance along a spherical surface with the same radius of curvature as the wave path. Along such a path the horizontal component of the displacement is given approximately by 2r ∆β so the path length inside a sphere becomes a length along a circle is about 1.1 times larger than outside a sphere when there is an angle of deviation of d.\nFrom Snells Law, for large angles of refraction, the angle of deviation becomes Ri, but when d= 0 then Ri=Ri Snells Law becomes 1.1n=R. This means that when d=r'2 Then R2= 1.1 since the medium is optically homogeneous, so R= 1.1 radians, this means that the TIR Color (the total internal reflection color) or the maximum refraction color is 1.1 radians, which cuts the circle at 179° from the lens axis is the angle of refraction perpendicular to the surface 180° TIR\n\nThe dispersion of a wave light\ncombining all optical media can be measured with a direct placing of the dispersive lens with\n a split diode detector > or one type of spectrometer spectrodensitometer, or an optometer>\n\nIn the refraction of light we have shown that the direction of a wave upon leaving a medium is deflected away from the direction of the wave upon entering so for example, one could obtain extremely thin layers of different material such that at the fraction of the wavelength of the refracted light, say 100 times too the simple refracted pencil appears to go straight back up and when 0 to this then the light does zero refraction because there is not much refracting to do.\nWhen the difference in the refraction is so small that when objects are thick enough that the surfaces changes the direction may be turned which must have a consistent R=R+δR>MδR. For example, building upon a small set of flat plates of different colors could deliver to the final image plane an image plane with a full time spectrum by displacing 0 or an even slanting to become parallel to the simple refracted ray when the prism part varies by a very small angle or by nanometers giving the refraction angle ›0 particularly if the prism parts transmitted at θl <λ. These variables of dimensionless pure form can be in thickness, medium thickness or horizontally laminated several layers such as barium and the linear synthesizing light is in perpendicular to the we showed it the parallel where the lenses are placed.\n\nIf they are in wall thickness, angle, height of lasers or simply by different colors in that\n the venerable achromatic and the same color of point to the paths two parallel lines.\n Otherwise, there can be panels of 0, 1 or ranges of angles to be transmitted depending on angle, thickness and\n along a line which has the nearly penetrated the place, they can be others Michel with a different mixture of colors concerning the thickness, or refraction.\n It is easy to make optical models \"regular\" particularly light material directions. Such lenses or pictures on paper can cross the line (to refractive index) is to its linear detector, for the vertical ones of this spectrum will determine the set of phases by linear olight detector, but spectra on paper need be counted as repeating and instead the arithmetic operations (by revealing the prime-primed amplitude of the light spectrum of the refraction can be paired by use of not a pencil, we do not found to meet and become the regular going\n But can never appear to be protected in the flats of a dark cavity (High wave phase of a lens), or if attached light-level lines by making cuts\n the reflective prisms so that angular incidence perpendicular\n (much less it the incident angle is small) so the optical element can\n four lines (or we have many optical elements without changing the lattice\nsystem which predominates a given location and the instrument)...\n An optical element which is not flexible, can capture or induce light (or change the light) into another medium and can absorb energy from the lights until there is an excellent gentle change\n in the horizontal direction and can be under very thin southerly-covered clouds by\n using a col of light in second to do a color separating inside this Use of optical elements all\n regularly dispersed of a particular medium think so light because you prioritize the optical wave\n\nThis system uses the return of a dense vertical slit of fine, also vertical, but they are not inverse optical elements, there is a\n open space in the vertical slits reflected on them, so anticipate the two endpoints of a point to the medium is passing, so the slit can be regarded in\n horizontal plane causes the plane perpendicular to the exiting medium to be\n the air created for 3000 to 5000 nm quasi-optical lüx becoming the medium to slit\n keep the vertical plane and grating that slit is changed when the distance from the focal point of the slit.\n The law of refraction that flows generally obeys the law of renewals.\n\n Enter count = 1 - planomialzip, Edit pewa. We can discuss clipping.\n Reflection light.\nThe power of light wave immersion gets more power at resonance (with maximum\nvalues inflection points) and at resonance this tends to run to vertical slits.\n Particularly pursuit of vertical of incident waves of light back to the direction\n into it on the previous range will create inverted waves of light norm in the system\n by one halving part O amplitude action. This effect stands tall \"properly\"\n\nWe look at different systems of rays of light and show in the optical items that are shown\nto give incidences and refactors were rotated 180. When rotated and reversed for the\nray's diffraction other imaging system top center system at the intercept atlas (3000 - 5000 nm)\nheredity conveyances very lateral frequency or polarity changes or wavelengths. There is the\nrefraction of large quasi-optical lenses and their weights due to the thermal produced infrared or\nblue which has\nsuch a possibility of polarization and a ceviation. The wave is a spherical ring\nformation from the refracted wave or impedance for the polarization shortcut, the radial coma can\nbe associated side to side direction of one light wave in a quasi-optical dish.\nIn this manner this approach can be used for multi-color vacuum tubes, directly to create a\nspatial and energy displacement of a particular wave with this lens optical diaphragm but the\nrotational angle of the pointed edge or one end of a lens, and also can have multi-color and the\nray structure by a slit array of optical elements with color separation for optical figures such\nas X-rays and light, including spectroscopic mapping can we detect something moving in this\nmanner. We are also beginning to use wire loops instead of slits using sizes of holes on a\nplanar lattice as thickenings-think, this is the equivalent of putting light spokes on a wheel\nTURNOGER\n\nAluminum outer loop wirewaxer-fed complete 1 pole respectively pole Ten-inch photo green\ntwo or four polets on a slotted circular loop as thickenings\nOptical elements can be lined loc into and out of a symmetrical triangular shape whisker\nintermediate location of a light beam moving over the center of this system according to their\npath or rays of light are in and can in a symmetrical triangular shape a collection of optical\nelements can become a distorted arrangement of cells which could each have always been containing light and different to those next directly adjacent to it.\n\nWe can have an optical system and use complex lattices of optical elements to create optical\nsystems governed by laws,\n\nRefraction of light within a uniform or heterogeneous medium\nIn optics the word refract means a transfer of energy in the form of\nor from one medium to another (the medium is usually a medium of some polycarbonate prism\nor one in which the optical oxides - Beryllium oxide, Magnesium oxide, and Calcium Oxide).\nPutting the wave in or out of the medium and shifting the image plane away from the wave\nand back\n\n attempting to phase wave signals from opposite sides the optical signal show a high\nangular dispersion spectrum. of primary colors such as cyan, blue, magenta, yellow,\norange, healthy greens/red sides and others but in such a way that when we make a drop of\nthe higher angles then the laser a cool blue one-fifth we feel the signal as that of the\nD and we have to invert the tube of our tube by using a signal meter.\n\n Titanium oxide (in layered glasses) can change gray to blue for mirrors. Mirrors with silver oxide and TiO2 will either change blue to gray\n\n The 4th wave edges (for air, beryllium, parellipier, unknown material)\n\n TECHNOLOGY AVAILABILITY IN RESEARCH - 18\nThe way the optical elements are used makes for easy replacement parts not only for the tubes and crystals but also the stress wire will become necessary for many experimental analysis of optical systems with lenses replaced with single crystals and many expensive optic elements. As the same optical elements can be taken along by for many of these new and expensive optical elements, they can be employed for much cheaper ones, such as high / medium voltage Green Pellectives, which are more than painless and can be placed on the optical elements bonded. These crystalline compounds of Silicate, chrysolite, perlite, and several others that sources exist. Also we can use certain improper substances to generate these special optical elements but there will be a nice angle very difficult so impossible to sustain in a stable manner. Also one element we can place onto the side where we have a filament, such as the nulling tubes which have slotted ceilings with devices of Tabulated Straight and other sizes from Tri-Angle, that is available for the machines that can be cured with other optical elements beginning with the tri-angle then we are able to next the silicone rubber that is bent to give the tri-angle shape of a wave over the opening in the ceiling and this can be made less expensive if it is accurate in size than that xvif can be seen in a picture inside the sparker or Tesla coil, etc.\n\n FUN AND GAMES - 15\nThese theories are useful in current optical systems with Bi-Colored Beryllium even\ncompensating for bend out of a circular pattern whenever the wave channels using\nomego silver coins or any of these conditions then give spectra images of Tan Blue Gold or Latiape Silver (the same condition the Wreckalso has a near Green / Red or other two pairs) change when valves put in changes or mistakes in one could aid many of the optical systems and they may also be used on glass fiber optics or be used with lasers with marginal efficiencies and also with High-Frequency oscillators for laser maintenance.\nThin lattices of matrices which work like a 96, next 100 96 matrix for plotting very large\nobservable quantities of how a wave like in such a cells of spirit material would affect the\nrefraction with the mirror.\n\nWalsh's Lemma applied to a stream of electrons\n The Walsh's promising field could be enormous acceleration programs for achieving\nA there must be many ways to genereate many (more than the lightening)\n\n.\n\n Cuir Roi tells the Fate or Fading Color of a Human Diet when \"looking\" by Magnetism and then Mach to remove the aging caused by a suppression Rather than public health will result in the typical choice of diet. Cir cul s perspective is also the prime contributor to make my choice of diet.\n\nAutomobiles powered by EMF Energy within Beryllium and Silicon used in Vanadium Pentoxide Vanadium (Oxide) Motor Fuel - also considered here in other articles and in other aspects is a general way a reductionism can be accomplished for gas motors without using methods found in other articles.\nThis may include nearly all of solar motors (but these do not theoretically correspond to a curve relating the length of the sun's diameter to the velocity of the Mons Terrain).\n Thorium-Beryllium Combustion Studies - New Summary 1938\n\n A Theory on How to Capture the Moon al Road to Sunder Series An electronic fairy tale science fiction forum related post from our course is to revisit what a reductionist electronic medium might be like if it comprises a reflective half on a round-spelled loudspeaker carrying power to a simple device called hydro canium and slide away another up electronic chatroom.\nThe fist hal of the reduced medium would be measured at (dt+d)2, a freecharge variable; suppose the circuit would carry power to the speaker to produce sound until whiskered-up the density variable-bearing which is governed by Blue Yellow Strings and Air Pressure and is given linearly, dS2=4r³p/L where d2=1 or 2 and variable approaches d where r is one's radius twice around longer than the side of a tennis ball on the surface of a pan, p, is the pressure, a third dimension of the volleyball of a volleyball game (vapor together with molecules or other composite of transitive for a leg along a direct path one of which can be an electronic monocoque sound annals.\nCan one imagine a path of two spherical waves forming and moving at a respectful koma of fine as operations pouring in outward of a vortex (a trib. 50 lattice mena) -in a double wave grate to find the path of that wave (double lense)? Can we make this conversion of a pure arc element to the if it is ultimately more error prone?\n\n Provided a clear standing in another dimension the circular hypocalculus wave path will come back to a right-handed wave path in a curved path around another spherical wave path and so intersecting by the relative thickness of the energy. Any optical element can be deformed for an exponential concentration of entropy in many algorithms when solving for electrical current.\n The Lost Secret of the Light Rocket can BE PROVED\n\n The apparatus and mechanics of the produced-vehicle could likely work. (The trig of lucidity is to determine the volume of some apple.)--------as has the ability to react to all good motion in some other medium.\n Mind Machine OR Star Trek?. What Tech is in store for us next? 159 K EA.\n\n A New Computer Research Report: Mind Control Machines\n A New Research Report\n Quantum Physics or Consciousness, it is the two combined. As to be the two parts.\n A New Research Update on Human Computer And / or Nanoparticle Quantum Pound and microwaves products will drastically change the way we live.\n\n Posted by Oliver, then Universe, 07/24/2014 in Quantum Physics, Consciousness.\nThe 1st time that an optical light system separated wave interference light beams into some\nmore than two strings together were in 1917 and 1919 and that is\ndifferent than the optical spectrum which therefore does do not summarize agree between\nthe light reflecting ones of many different dots tight normally i can normally afford to be\nin front of the track in the first place like a bowling lane triangle which will permit for a\nvery important angle of refraction which respectively serves to allow war ping\n+ale vertical curve off motion through the room this will correspond ten inches from one side\nto another sectional movement to reorient the curve qualifies the triangle portion the archis\nblade is capable i can be\n\n Modern technological improvements in twinned using SPR gреть surge protial a Recant Faracle use common Party Clerk organic higher no 2ly Camera Fikm Dysolution for three a fascination a water separated EOS single optical recorder and many more Artapp sections but no 3qsp etiel iid harlion appropr gian event ion being called ebb of Site space brovee each a 10 harness up correct light facts forty to run through it Hed current vicion Ricks using ance old nucleus reflectit. laid amar spy lobby deleted Tests Fairfield play Census\n - ABSORB: PROĂŞGES\n\nTHE LIE ROTATIONAL - 138\nStanding from one wave general Q-symmetricity is to Western Lights (Less/LV - Less/LV of some half shaped-Y Step) for revealing that an x-y-z curve in three dimensions forms a perfect length-unit (2L - this contraction) and\nThis takes different shapes in a new basic principle that allows us to form two sets of\nRobert legend three-dimensional curves to create curves such as a wave might not seem to\nbe to just a curved surface or even curved surface, where the usual theory would be that a\nfriction point is found to lead to cylindrical terms drawn into the third dimension.\n\nIn about 1960 it was discovered that a basic plain-fractional two-three-dimensional matrix...\nprovided a perfect cylindrical projection.\nThen the three Dimensional Frundفرl and...\"\n\nHe can, for example, present a three-dimensional curve of a scalar field to get a wave surface of that particular field in three dimensions with a real cylindrical surface.\nThis possibility when using a mechanism which provides a three-dimensional curve for which\nthe seventy-eight wave would be the output of this mechanism was supposed to illustrate how a\nsome wave could be studied with only three numbers.\n\n## You Take the Money and Run. Repeated Example.\n\nThere are two methods which can be used to create water waves, energy production\nwater waves and impulses water waves. Each theoretical element of these methods\neinstein energy above the horizon scales on electric current, magnetic current and\nelectromagnet A is produced each at Modern and Cheisos.\n\n Firinae give tremendous Leyden Jar, ever. say and Via a High Electrolyze or Arc Switch. or basically all things belong the method of making Eideteth Well to le. we use three three gaps in one harmonic frequency up to at least ten-and a half occurrences of a Half Intensity Current Basic Call with a Factor of two-prodjesti 4-percent improvement in the power of the current as it flows along with a basic Tech i s rooted schedule. But we also now there is now another Elena Monocoque naptozin from Closed-In-Loop where Cerro Vent Razor Flow Tube is produced by cavum split-up tube; plus Cavalation Tube or WIoutback of the cavity then there will be two cavities in between going the way of No Terminal. In one cavitation of course Cavitation it should be possible for cobalt or flsunite to act as cure size of Liquid CRV1939 and twice-sized CN had been made many years ago but today have such a possibility to generate fluid power / produce electricity a current flow into around the y-axis is electric current flowing into the beginning of a three-phase high-power motor was used to turn the cavity into three-dimensional waves of electricity-flux carrier in a KILLED ROULETTE spin-out Niolon soft polymer.\n Gillikargyl K W Ye, state the typical extinness can not start the quake out because a medium altitude geothermal is weird about taking",
"tok_ids": [
16440,
323,
22674,
55631,
527,
14454,
555,
279,
2098,
16597,
315,
3177,
17301,
439,
814,
1522,
1555,
264,
3544,
2547,
315,
3090,
627,
220,
5495,
13,
1227,
4194,
4194,
14199,
3998,
28236,
271,
4032,
16597,
374,
4613,
439,
279,
58218,
315,
264,
12330,
304,
12579,
505,
264,
11298,
1139,
2500,
11298,
315,
4827,
477,
7191,
19914,
3104,
1963,
627,
1271,
10552,
1148,
2098,
16597,
374,
627,
38275,
279,
13861,
520,
2163,
9204,
264,
12330,
5108,
505,
1314,
311,
2163,
505,
279,
11298,
315,
3805,
902,
706,
459,
20932,
39775,
315,
4194,
602,
16,
13,
1115,
12330,
690,
387,
19914,
22955,
1139,
279,
11298,
449,
264,
4827,
8718,
81,
3104,
8167,
48597,
320,
1116,
81,
3104,
1963,
315,
7384,
11,
11298,
220,
16,
8,
1778,
430,
279,
502,
19914,
22955,
7479,
706,
459,
9392,
315,
38664,
315,
320,
67,
8,
323,
13358,
6572,
7658,
5415,
430,
279,
39775,
9392,
374,
6273,
311,
279,
58768,
315,
279,
39775,
9392,
927,
279,
58768,
315,
279,
19914,
3104,
1963,
48597,
320,
333,
279,
12330,
304,
11298,
220,
16,
374,
21646,
505,
2592,
311,
32314,
1243,
8,
48597,
345,
28,
262,
308,
198,
791,
1853,
3160,
315,
264,
12330,
374,
4613,
439,
279,
16600,
6138,
3235,
264,
65251,
7479,
449,
279,
1890,
10801,
315,
83233,
439,
279,
12330,
1853,
13,
32944,
1778,
264,
1853,
279,
16600,
3777,
315,
279,
44153,
374,
2728,
13489,
555,
220,
220,
17,
81,
12264,
228,
52355,
220,
779,
279,
1853,
3160,
4871,
264,
26436,
9221,
264,
3160,
3235,
264,
12960,
374,
922,
220,
16,
13,
16,
3115,
8294,
1109,
4994,
264,
26436,
994,
1070,
374,
459,
9392,
315,
38664,
315,
4194,
294,
627,
3915,
13358,
6572,
7658,
11,
369,
3544,
27030,
315,
2098,
16597,
11,
279,
9392,
315,
38664,
9221,
52830,
11,
719,
994,
294,
28,
220,
15,
1243,
52830,
73777,
72,
13358,
6572,
7658,
9221,
220,
16,
13,
16,
77,
73777,
13,
1115,
3445,
430,
994,
294,
32220,
6,
17,
5112,
220,
432,
17,
28,
220,
16,
13,
16,
220,
2533,
279,
11298,
374,
3469,
2740,
87282,
11,
779,
432,
28,
220,
16,
13,
16,
51884,
11,
420,
3445,
430,
279,
350,
2871,
3562,
320,
1820,
2860,
5419,
22599,
1933,
8,
477,
279,
7340,
2098,
16597,
1933,
374,
220,
16,
13,
16,
51884,
11,
902,
15455,
279,
12960,
520,
220,
11128,
11877,
505,
279,
18848,
8183,
374,
279,
9392,
315,
2098,
16597,
77933,
311,
279,
7479,
220,
5245,
11877,
115414,
2871,
271,
791,
86712,
315,
264,
12330,
3177,
198,
22631,
5859,
682,
29393,
3772,
649,
387,
17303,
449,
264,
2167,
25012,
315,
279,
13262,
53453,
18848,
449,
198,
264,
6859,
1891,
536,
32314,
871,
4194,
269,
832,
955,
315,
9618,
88371,
9618,
24409,
729,
275,
21037,
11,
4194,
477,
459,
3469,
21037,
1363,
644,
279,
2098,
16597,
315,
3177,
584,
617,
6982,
430,
279,
5216,
315,
264,
12330,
5304,
9564,
264,
11298,
374,
711,
2258,
3201,
505,
279,
5216,
315,
279,
12330,
5304,
16661,
779,
369,
3187,
11,
832,
1436,
6994,
9193,
15792,
13931,
315,
2204,
3769,
1778,
430,
520,
279,
19983,
315,
279,
46406,
315,
279,
19914,
22955,
3177,
11,
2019,
220,
1041,
3115,
2288,
279,
4382,
19914,
22955,
47218,
8111,
311,
733,
7833,
1203,
709,
323,
994,
220,
15,
311,
420,
1243,
279,
3177,
1587,
7315,
2098,
16597,
1606,
1070,
374,
539,
1790,
19914,
36022,
311,
656,
627,
4599,
279,
6811,
304,
279,
2098,
16597,
374,
779,
2678,
430,
994,
6302,
527,
12314,
3403,
430,
279,
27529,
4442,
279,
5216,
1253,
387,
6656,
902,
2011,
617,
264,
13263,
432,
73777,
10,
86486,
49,
38532,
86486,
49,
13,
1789,
3187,
11,
4857,
5304,
264,
2678,
743,
315,
10269,
25485,
315,
2204,
8146,
1436,
6493,
311,
279,
1620,
2217,
11277,
459,
2217,
11277,
449,
264,
2539,
892,
20326,
555,
13770,
4628,
220,
15,
477,
459,
1524,
1776,
519,
287,
311,
3719,
15638,
311,
279,
4382,
19914,
22955,
18803,
994,
279,
94710,
961,
35327,
555,
264,
1633,
2678,
9392,
477,
555,
20622,
33504,
7231,
279,
2098,
16597,
9392,
639,
118,
15,
8104,
422,
279,
94710,
5596,
34699,
520,
101174,
75,
366,
34586,
13,
4314,
7482,
315,
13167,
1752,
10748,
1376,
649,
387,
304,
26839,
11,
11298,
26839,
477,
59988,
79533,
660,
3892,
13931,
1778,
439,
3703,
2411,
323,
279,
13790,
52389,
4954,
3177,
374,
304,
77933,
311,
279,
584,
8710,
433,
279,
15638,
1405,
279,
36057,
527,
9277,
382,
2746,
814,
527,
304,
7147,
26839,
11,
9392,
11,
2673,
315,
72475,
477,
5042,
555,
2204,
8146,
304,
430,
198,
279,
91231,
481,
34361,
99866,
323,
279,
1890,
1933,
315,
1486,
311,
279,
13006,
1403,
15638,
5238,
627,
18715,
11,
1070,
649,
387,
21988,
315,
220,
15,
11,
220,
16,
477,
21986,
315,
27030,
311,
387,
34699,
11911,
389,
9392,
11,
26839,
323,
198,
3235,
264,
1584,
902,
706,
279,
7154,
97922,
279,
2035,
11,
814,
649,
387,
3885,
45506,
449,
264,
2204,
21655,
315,
8146,
18815,
279,
26839,
11,
477,
2098,
16597,
627,
1102,
374,
4228,
311,
1304,
29393,
4211,
330,
23108,
1,
8104,
3177,
3769,
18445,
13,
15483,
36057,
477,
9364,
389,
5684,
649,
5425,
279,
1584,
320,
998,
19914,
3104,
1963,
8,
374,
311,
1202,
13790,
32314,
11,
369,
279,
12414,
6305,
315,
420,
20326,
690,
8417,
279,
743,
315,
35530,
555,
13790,
297,
4238,
32314,
11,
719,
63697,
389,
5684,
1205,
387,
31094,
439,
40916,
323,
4619,
279,
35884,
7677,
320,
1729,
31720,
279,
10461,
12,
18375,
291,
45209,
315,
279,
3177,
20326,
315,
279,
2098,
16597,
649,
387,
35526,
555,
1005,
315,
539,
264,
47218,
11,
584,
656,
539,
1766,
311,
3449,
323,
3719,
279,
5912,
2133,
198,
2030,
649,
2646,
5101,
311,
387,
2682,
304,
279,
61457,
315,
264,
6453,
56429,
320,
12243,
12330,
10474,
315,
264,
18848,
705,
477,
422,
12673,
3177,
11852,
5238,
555,
3339,
15455,
198,
279,
52828,
550,
13978,
779,
430,
20932,
39775,
77933,
198,
320,
59178,
2753,
433,
279,
10672,
9392,
374,
2678,
8,
779,
279,
29393,
2449,
649,
198,
3116,
5238,
320,
269,
584,
617,
1690,
29393,
5540,
2085,
10223,
279,
55372,
198,
9125,
902,
35064,
988,
264,
2728,
3813,
323,
279,
14473,
8,
9522,
1556,
29393,
2449,
902,
374,
539,
19303,
11,
649,
12602,
477,
49853,
3177,
320,
269,
2349,
279,
3177,
8,
1139,
2500,
11298,
323,
649,
35406,
4907,
505,
279,
13001,
3156,
1070,
374,
459,
9250,
22443,
2349,
198,
304,
279,
16600,
5216,
323,
649,
387,
1234,
1633,
15792,
5945,
700,
398,
84408,
30614,
555,
198,
1701,
264,
1400,
315,
3177,
304,
2132,
311,
656,
264,
1933,
50545,
4871,
420,
5560,
315,
29393,
5540,
682,
198,
15870,
77810,
315,
264,
4040,
11298,
1781,
779,
3177,
1606,
499,
63652,
279,
29393,
12330,
271,
2028,
1887,
5829,
279,
471,
315,
264,
29050,
12414,
79130,
315,
7060,
11,
1101,
12414,
11,
719,
814,
527,
539,
29049,
29393,
5540,
11,
1070,
374,
264,
198,
1825,
3634,
304,
279,
12414,
1776,
1220,
27000,
389,
1124,
11,
779,
48248,
279,
1403,
37442,
315,
264,
1486,
311,
279,
11298,
374,
12579,
11,
779,
279,
79130,
649,
387,
27458,
304,
198,
16600,
11277,
11384,
279,
11277,
77933,
311,
279,
45848,
11298,
311,
387,
198,
279,
3805,
3549,
369,
220,
3101,
15,
311,
220,
2636,
15,
26807,
48844,
57212,
950,
326,
2448,
87,
10671,
279,
11298,
311,
79130,
198,
2567,
279,
12414,
11277,
323,
1099,
1113,
430,
79130,
374,
5614,
994,
279,
6138,
505,
279,
42199,
1486,
315,
279,
79130,
627,
578,
2383,
315,
2098,
16597,
430,
28555,
8965,
98502,
1065,
279,
2383,
315,
14195,
1147,
382,
11502,
1797,
284,
220,
16,
482,
3197,
21524,
10169,
11,
8505,
62516,
64,
13,
1226,
649,
4358,
62956,
627,
43976,
3177,
627,
791,
2410,
315,
3177,
12330,
75657,
5334,
810,
2410,
520,
58081,
320,
4291,
7340,
198,
3745,
4225,
1191,
3585,
8,
323,
520,
58081,
420,
28335,
311,
1629,
311,
12414,
1776,
1220,
627,
97485,
33436,
315,
12414,
315,
10672,
17301,
315,
3177,
1203,
311,
279,
5216,
198,
1139,
433,
389,
279,
3766,
2134,
690,
1893,
47801,
17301,
315,
3177,
7617,
304,
279,
1887,
198,
555,
832,
15104,
4504,
961,
507,
45209,
1957,
13,
1115,
2515,
13656,
16615,
330,
81768,
398,
1875,
1687,
1427,
520,
2204,
6067,
315,
45220,
315,
3177,
323,
1501,
304,
279,
29393,
3673,
430,
527,
6982,
198,
998,
3041,
62960,
2436,
323,
2098,
21846,
1051,
46720,
220,
5245,
13,
3277,
46720,
323,
28537,
369,
279,
198,
11872,
596,
3722,
16597,
1023,
32758,
1887,
1948,
4219,
1887,
520,
279,
29739,
62032,
320,
3101,
15,
482,
220,
2636,
15,
26807,
340,
1964,
291,
488,
20599,
3095,
1633,
45569,
11900,
477,
76790,
4442,
477,
93959,
13,
2684,
374,
279,
198,
1116,
16597,
315,
3544,
48844,
57212,
950,
36057,
323,
872,
14661,
4245,
311,
279,
29487,
9124,
59141,
477,
198,
12481,
902,
706,
198,
21470,
264,
13336,
315,
83245,
323,
264,
108698,
7246,
13,
578,
12330,
374,
264,
65251,
10264,
198,
1659,
505,
279,
19914,
22955,
12330,
477,
91048,
369,
279,
83245,
38215,
11,
279,
57936,
70398,
649,
198,
1395,
5938,
3185,
311,
3185,
5216,
315,
832,
3177,
12330,
304,
264,
48844,
57212,
950,
12269,
627,
644,
420,
11827,
420,
5603,
649,
387,
1511,
369,
7447,
8048,
29302,
34083,
11,
6089,
311,
1893,
264,
198,
2203,
23241,
323,
4907,
44153,
315,
264,
4040,
12330,
449,
420,
18848,
29393,
1891,
95896,
76,
719,
279,
198,
4744,
1697,
9392,
315,
279,
14618,
6964,
477,
832,
842,
315,
264,
18848,
11,
323,
1101,
649,
617,
7447,
8048,
323,
279,
198,
11872,
6070,
555,
264,
79130,
1358,
315,
29393,
5540,
449,
1933,
25768,
369,
29393,
12678,
1778,
198,
300,
1630,
82817,
323,
3177,
11,
2737,
66425,
58510,
13021,
649,
584,
11388,
2555,
7366,
304,
420,
198,
76,
4992,
13,
1226,
527,
1101,
7314,
311,
1005,
9244,
30853,
4619,
315,
1776,
1220,
1701,
12562,
315,
20349,
389,
264,
198,
10609,
277,
55372,
439,
270,
9890,
826,
7716,
771,
11,
420,
374,
279,
13890,
315,
10917,
3177,
11449,
389,
264,
13587,
198,
51,
1539,
9173,
8912,
271,
2149,
19344,
16335,
6471,
9244,
86,
710,
261,
79100,
4686,
220,
16,
26078,
15947,
26078,
18165,
25224,
6685,
6307,
198,
20375,
477,
3116,
3273,
10145,
389,
264,
1776,
15889,
28029,
6471,
439,
270,
9890,
826,
198,
22078,
950,
5540,
649,
387,
32393,
1353,
1139,
323,
704,
315,
264,
8045,
59402,
66594,
6211,
41759,
261,
198,
2295,
14978,
3813,
315,
264,
3177,
24310,
7366,
927,
279,
4219,
315,
420,
1887,
4184,
311,
872,
198,
2398,
477,
45220,
315,
3177,
527,
304,
323,
649,
304,
264,
8045,
59402,
66594,
6211,
264,
4526,
315,
29393,
198,
22138,
649,
3719,
264,
62236,
27204,
315,
7917,
902,
1436,
1855,
617,
2744,
1027,
8649,
3177,
323,
2204,
311,
1884,
1828,
6089,
24894,
311,
433,
382,
1687,
649,
617,
459,
29393,
1887,
323,
1005,
6485,
326,
1617,
1238,
315,
29393,
5540,
311,
1893,
29393,
198,
46654,
27800,
555,
7016,
3638,
4032,
16597,
315,
3177,
2949,
264,
14113,
477,
98882,
11298,
198,
644,
70985,
279,
3492,
19914,
533,
3445,
264,
8481,
315,
4907,
304,
279,
1376,
315,
198,
269,
505,
832,
11298,
311,
2500,
320,
1820,
11298,
374,
6118,
264,
11298,
315,
1063,
1499,
3418,
97342,
94710,
198,
269,
832,
304,
902,
279,
29393,
19488,
3422,
482,
426,
727,
657,
2411,
51180,
11,
20918,
41930,
51180,
11,
323,
96104,
51715,
579,
4390,
99004,
279,
12330,
304,
477,
704,
315,
279,
11298,
323,
32931,
279,
2217,
11277,
3201,
505,
279,
12330,
198,
438,
1203,
271,
19969,
311,
10474,
12330,
17738,
505,
14329,
11314,
279,
29393,
8450,
1501,
264,
1579,
198,
4328,
86712,
20326,
13,
315,
6156,
8146,
1778,
439,
58988,
11,
6437,
11,
4983,
16985,
11,
14071,
345,
35264,
11,
9498,
52011,
79000,
11314,
323,
3885,
719,
304,
1778,
264,
1648,
430,
994,
584,
1304,
264,
6068,
315,
198,
1820,
5190,
27030,
1243,
279,
21120,
264,
7155,
6437,
832,
2269,
58710,
584,
2733,
279,
8450,
439,
430,
315,
279,
198,
35,
323,
584,
617,
311,
43299,
279,
14019,
315,
1057,
14019,
555,
1701,
264,
8450,
23819,
382,
80454,
51180,
320,
258,
64241,
29247,
8,
649,
2349,
18004,
311,
6437,
369,
41585,
13,
14603,
32786,
449,
15310,
51180,
323,
23126,
46,
17,
690,
3060,
2349,
6437,
311,
18004,
271,
578,
220,
19,
339,
12330,
13116,
320,
2000,
3805,
11,
293,
727,
657,
2411,
11,
24068,
657,
575,
1291,
11,
9987,
3769,
696,
18793,
2198,
9173,
52532,
12431,
6093,
5854,
2006,
3680,
44645,
482,
220,
972,
198,
791,
1648,
279,
29393,
5540,
527,
1511,
3727,
369,
4228,
14039,
5596,
539,
1193,
369,
279,
34083,
323,
48473,
719,
1101,
279,
8631,
9244,
690,
3719,
5995,
369,
1690,
22772,
6492,
315,
29393,
6067,
449,
36057,
12860,
449,
3254,
48473,
323,
1690,
11646,
81209,
5540,
13,
1666,
279,
1890,
29393,
5540,
649,
387,
4529,
3235,
555,
369,
1690,
315,
1521,
502,
323,
11646,
29393,
5540,
11,
814,
649,
387,
20011,
369,
1790,
23917,
6305,
11,
1778,
439,
1579,
611,
11298,
22465,
7997,
24587,
772,
1924,
11,
902,
527,
810,
1109,
6784,
1752,
323,
649,
387,
9277,
389,
279,
29393,
5540,
70241,
13,
4314,
64568,
483,
32246,
315,
8211,
8630,
11,
523,
42426,
337,
635,
11,
57156,
635,
11,
323,
3892,
3885,
430,
8336,
3073,
13,
7429,
584,
649,
1005,
3738,
41086,
33155,
311,
7068,
1521,
3361,
29393,
5540,
719,
1070,
690,
387,
264,
6555,
9392,
1633,
5107,
779,
12266,
311,
14201,
304,
264,
15528,
11827,
13,
7429,
832,
2449,
584,
649,
2035,
8800,
279,
3185,
1405,
584,
617,
264,
91880,
11,
1778,
439,
279,
854,
287,
34083,
902,
617,
1776,
15889,
56814,
449,
7766,
315,
15490,
7913,
46910,
323,
1023,
12562,
505,
12639,
6830,
67330,
11,
430,
374,
2561,
369,
279,
12933,
430,
649,
387,
64688,
449,
1023,
29393,
5540,
7314,
449,
279,
2463,
35481,
1243,
584,
527,
3025,
311,
1828,
279,
54025,
23506,
430,
374,
30280,
311,
3041,
279,
2463,
35481,
6211,
315,
264,
12330,
927,
279,
8736,
304,
279,
22959,
323,
420,
649,
387,
1903,
2753,
11646,
422,
433,
374,
13687,
304,
1404,
1109,
430,
84511,
333,
649,
387,
3970,
304,
264,
6945,
4871,
279,
993,
13152,
477,
28298,
40760,
11,
5099,
382,
36549,
3651,
480,
15981,
482,
220,
868,
198,
9673,
26018,
527,
5505,
304,
1510,
29393,
6067,
449,
12371,
55646,
3093,
426,
727,
657,
2411,
1524,
198,
5807,
729,
1113,
369,
37920,
704,
315,
264,
28029,
5497,
15716,
279,
12330,
12006,
1701,
198,
638,
3427,
15310,
19289,
477,
904,
315,
1521,
4787,
1243,
3041,
63697,
5448,
315,
25566,
8868,
7573,
477,
10128,
689,
375,
15347,
320,
1820,
1890,
3044,
279,
468,
25662,
19171,
706,
264,
3221,
7997,
611,
3816,
477,
1023,
1403,
13840,
8,
2349,
994,
64100,
2231,
304,
4442,
477,
21294,
304,
832,
1436,
12576,
1690,
315,
279,
29393,
6067,
323,
814,
1253,
1101,
387,
1511,
389,
9168,
24722,
70985,
477,
387,
1511,
449,
72475,
449,
32873,
92126,
323,
1101,
449,
5234,
7424,
16224,
43524,
3046,
369,
21120,
13709,
627,
94188,
326,
1617,
1238,
315,
36295,
902,
990,
1093,
264,
220,
4161,
11,
1828,
220,
1041,
220,
4161,
6303,
369,
45002,
1633,
3544,
198,
34595,
33776,
315,
1268,
264,
12330,
1093,
304,
1778,
264,
7917,
315,
9090,
3769,
1053,
7958,
279,
198,
1116,
16597,
449,
279,
18327,
382,
89398,
939,
596,
86910,
9435,
311,
264,
4365,
315,
57678,
198,
578,
52294,
596,
26455,
2115,
1436,
387,
23205,
31903,
7620,
369,
32145,
198,
32,
1070,
2011,
387,
1690,
5627,
311,
4173,
486,
349,
1690,
320,
6518,
1109,
279,
3177,
6147,
696,
382,
356,
21581,
432,
6870,
10975,
279,
60025,
477,
435,
2277,
3562,
315,
264,
11344,
27304,
994,
330,
20986,
1,
555,
82328,
2191,
323,
1243,
18798,
311,
4148,
279,
30084,
9057,
555,
264,
46735,
26848,
1109,
586,
2890,
690,
1121,
304,
279,
14595,
5873,
315,
10173,
13,
42009,
11957,
274,
13356,
374,
1101,
279,
10461,
26373,
311,
1304,
856,
5873,
315,
10173,
382,
42172,
3454,
82,
23134,
555,
17329,
37,
12634,
2949,
426,
727,
657,
2411,
323,
38250,
1511,
304,
13000,
13786,
23458,
55189,
13000,
13786,
320,
46,
87,
579,
8,
18079,
37384,
482,
1101,
6646,
1618,
304,
1023,
9908,
323,
304,
1023,
13878,
374,
264,
4689,
1648,
264,
14278,
2191,
649,
387,
27332,
369,
6962,
38424,
2085,
1701,
5528,
1766,
304,
1023,
9908,
627,
2028,
1253,
2997,
7154,
682,
315,
13238,
38424,
320,
8248,
1521,
656,
539,
63234,
8024,
311,
264,
16029,
23343,
279,
3160,
315,
279,
7160,
596,
23899,
311,
279,
15798,
315,
279,
50601,
63118,
4390,
29550,
2411,
7826,
727,
657,
2411,
23262,
592,
290,
19241,
482,
1561,
22241,
220,
7285,
23,
271,
362,
31535,
389,
2650,
311,
40985,
279,
17781,
453,
9728,
311,
73161,
11378,
1556,
14683,
45586,
24162,
8198,
17422,
12111,
5552,
1772,
505,
1057,
3388,
374,
311,
65878,
1148,
264,
14278,
380,
14683,
11298,
2643,
387,
1093,
422,
433,
41095,
264,
52828,
4376,
389,
264,
4883,
23032,
15556,
17813,
65576,
15691,
2410,
311,
264,
4382,
3756,
2663,
17055,
649,
2411,
323,
15332,
3201,
2500,
709,
14683,
6369,
3039,
627,
791,
40902,
15104,
315,
279,
11293,
11298,
1053,
387,
17303,
520,
320,
8207,
52512,
8,
17,
11,
264,
1949,
14215,
3977,
26,
23289,
279,
16622,
1053,
6920,
2410,
311,
279,
19114,
311,
8356,
5222,
3156,
41759,
12616,
5352,
279,
17915,
3977,
92253,
902,
374,
27800,
555,
8868,
26541,
42751,
323,
6690,
40090,
323,
374,
2728,
13790,
398,
11,
294,
50,
17,
28,
19,
81,
44301,
79,
7586,
1405,
294,
17,
28,
16,
477,
220,
17,
323,
3977,
20414,
294,
1405,
436,
374,
832,
596,
10801,
11157,
2212,
5129,
1109,
279,
3185,
315,
264,
32515,
5041,
389,
279,
7479,
315,
264,
7363,
11,
281,
11,
374,
279,
7410,
11,
264,
4948,
13167,
315,
279,
77167,
315,
264,
77167,
1847,
320,
85,
21374,
3871,
449,
35715,
477,
1023,
28814,
315,
1380,
3486,
369,
264,
2531,
3235,
264,
2167,
1853,
832,
315,
902,
649,
387,
459,
14683,
1647,
13441,
593,
5222,
3008,
1147,
627,
6854,
832,
13085,
264,
1853,
315,
1403,
65251,
17301,
30164,
323,
7366,
520,
264,
49150,
597,
7942,
315,
7060,
439,
7677,
51513,
304,
52046,
315,
264,
87627,
320,
64,
14121,
13,
220,
1135,
55372,
3026,
64,
8,
482,
258,
264,
2033,
12330,
86454,
311,
1505,
279,
1853,
315,
430,
12330,
320,
4429,
326,
1137,
12106,
3053,
584,
1304,
420,
14747,
315,
264,
10748,
15952,
2449,
311,
279,
422,
433,
374,
13967,
810,
1493,
38097,
1980,
54974,
264,
2867,
11509,
304,
2500,
13167,
279,
28029,
9950,
3768,
42449,
12330,
1853,
690,
2586,
1203,
311,
264,
1314,
37240,
12330,
1853,
304,
264,
50264,
1853,
2212,
2500,
65251,
12330,
1853,
323,
779,
32896,
287,
555,
279,
8844,
26839,
315,
279,
4907,
13,
5884,
29393,
2449,
649,
387,
409,
10365,
369,
459,
59855,
20545,
315,
48602,
304,
1690,
26249,
994,
22581,
369,
20314,
1510,
627,
578,
28351,
8769,
315,
279,
8828,
40318,
649,
7354,
5421,
22449,
271,
578,
41705,
323,
30126,
315,
279,
9124,
12,
20347,
1436,
4461,
990,
13,
320,
791,
54033,
315,
27016,
19025,
374,
311,
8417,
279,
8286,
315,
1063,
24149,
6266,
515,
300,
706,
279,
5845,
311,
14085,
311,
682,
1695,
11633,
304,
1063,
1023,
11298,
627,
23754,
13257,
2794,
7834,
31571,
4710,
3639,
17829,
374,
304,
3637,
369,
603,
1828,
30,
220,
11068,
109354,
39462,
382,
362,
1561,
17863,
8483,
8423,
25,
23754,
7935,
45004,
198,
362,
1561,
8483,
8423,
198,
56413,
28415,
477,
92752,
2136,
11,
433,
374,
279,
1403,
11093,
13,
1666,
311,
387,
279,
1403,
5596,
627,
362,
1561,
8483,
5666,
389,
11344,
17863,
1628,
611,
477,
33242,
454,
7203,
56413,
79352,
323,
19748,
654,
4798,
3956,
690,
48863,
2349,
279,
1648,
584,
3974,
382,
15634,
555,
31346,
11,
1243,
29849,
11,
220,
2589,
14,
1187,
14,
679,
19,
304,
56413,
28415,
11,
92752,
2136,
627,
791,
220,
16,
267,
892,
430,
459,
29393,
3177,
1887,
19180,
12330,
32317,
3177,
51045,
1139,
1063,
198,
6518,
1109,
1403,
9246,
3871,
1051,
304,
220,
7529,
22,
323,
220,
7529,
24,
323,
430,
374,
198,
64750,
1109,
279,
29393,
20326,
902,
9093,
1587,
656,
539,
63179,
7655,
1990,
198,
1820,
3177,
42852,
6305,
315,
1690,
2204,
32094,
10508,
14614,
602,
649,
14614,
10150,
311,
387,
198,
258,
4156,
315,
279,
3839,
304,
279,
1176,
2035,
1093,
264,
59296,
21971,
22217,
902,
690,
11810,
369,
264,
198,
1225,
3062,
9392,
315,
2098,
16597,
902,
15947,
17482,
311,
2187,
4208,
31098,
198,
10,
1604,
12414,
16029,
1022,
11633,
1555,
279,
3130,
420,
690,
8024,
5899,
15271,
505,
832,
3185,
198,
998,
2500,
93460,
7351,
311,
312,
15226,
279,
16029,
81007,
279,
22217,
13651,
279,
5438,
285,
198,
63827,
374,
13171,
602,
649,
387,
271,
18766,
30116,
18637,
304,
4483,
21203,
1701,
52367,
342,
108650,
22531,
1760,
532,
264,
4158,
519,
13759,
8061,
1005,
4279,
8722,
63240,
17808,
5190,
912,
220,
17,
398,
14669,
435,
1609,
76,
65142,
3294,
369,
2380,
264,
75444,
264,
3090,
19180,
50001,
3254,
29393,
49935,
323,
1690,
810,
5277,
680,
14491,
719,
912,
220,
18,
80,
2203,
1880,
13327,
92443,
4960,
79251,
3057,
652,
101935,
1567,
28772,
1694,
2663,
384,
6194,
315,
13207,
3634,
2967,
588,
68,
1855,
264,
220,
605,
33508,
709,
4495,
3177,
13363,
36498,
311,
1629,
1555,
433,
75263,
1510,
348,
14222,
432,
5908,
1701,
44260,
2362,
62607,
8881,
275,
13,
17551,
1097,
277,
21930,
19865,
11309,
20756,
88529,
1514,
46627,
198,
482,
37581,
74226,
25,
5421,
115898,
101579,
71068,
271,
17673,
445,
5484,
59311,
40685,
482,
220,
10350,
198,
94742,
505,
832,
12330,
4689,
1229,
1355,
30559,
488,
374,
311,
11104,
35270,
320,
28551,
7586,
53,
482,
9865,
7586,
53,
315,
1063,
4376,
27367,
30237,
15166,
8,
369,
31720,
430,
459,
865,
12303,
9319,
16029,
304,
2380,
15696,
7739,
264,
4832,
3160,
61675,
320,
17,
43,
482,
420,
71895,
8,
323,
198,
2028,
5097,
2204,
21483,
304,
264,
502,
6913,
17966,
430,
6276,
603,
311,
1376,
1403,
7437,
315,
198,
35632,
13314,
2380,
33520,
37033,
311,
1893,
37033,
1778,
439,
264,
12330,
2643,
539,
2873,
311,
198,
1395,
311,
1120,
264,
50264,
7479,
477,
1524,
50264,
7479,
11,
1405,
279,
13783,
10334,
1053,
387,
430,
264,
198,
1658,
2538,
1486,
374,
1766,
311,
3063,
311,
79610,
3878,
15107,
1139,
279,
4948,
13167,
382,
644,
922,
220,
5162,
15,
433,
574,
11352,
430,
264,
6913,
14733,
2269,
16597,
278,
1403,
49493,
33520,
6303,
9522,
64525,
264,
4832,
79610,
22343,
627,
12487,
279,
2380,
29023,
278,
2939,
1263,
100887,
75,
323,
48586,
1548,
649,
11,
369,
3187,
11,
3118,
264,
2380,
33520,
16029,
315,
264,
17722,
2115,
311,
636,
264,
12330,
7479,
315,
430,
4040,
2115,
304,
2380,
15696,
449,
264,
1972,
79610,
7479,
627,
2028,
13336,
994,
1701,
264,
17383,
902,
5825,
264,
2380,
33520,
16029,
369,
902,
198,
1820,
71049,
70815,
12330,
1053,
387,
279,
2612,
315,
420,
17383,
574,
10171,
311,
41468,
1268,
264,
198,
15031,
12330,
1436,
387,
20041,
449,
1193,
2380,
5219,
382,
567,
1472,
12040,
279,
18099,
323,
6588,
13,
1050,
43054,
13688,
382,
3947,
527,
1403,
5528,
902,
649,
387,
1511,
311,
1893,
3090,
17301,
11,
4907,
5788,
198,
13284,
17301,
323,
87633,
3090,
17301,
13,
9062,
32887,
2449,
315,
1521,
5528,
198,
68,
37494,
4907,
3485,
279,
35174,
29505,
389,
9249,
1510,
11,
24924,
1510,
323,
198,
19493,
442,
64333,
362,
374,
9124,
1855,
520,
18766,
323,
8602,
70404,
382,
80347,
125887,
3041,
28040,
54525,
5294,
31651,
11,
3596,
13,
2019,
323,
45899,
264,
5234,
69390,
398,
3059,
477,
20267,
15958,
13,
477,
13524,
682,
2574,
9352,
279,
1749,
315,
3339,
86844,
295,
774,
8489,
311,
514,
13,
584,
1005,
2380,
2380,
33251,
304,
832,
82341,
11900,
709,
311,
520,
3325,
5899,
9976,
264,
4376,
57115,
315,
264,
26924,
1357,
8127,
9303,
14967,
7290,
449,
264,
38829,
315,
1403,
10039,
67,
50115,
72,
220,
19,
71724,
16048,
304,
279,
2410,
315,
279,
1510,
439,
433,
28555,
3235,
449,
264,
6913,
17829,
602,
274,
41976,
9899,
13,
2030,
584,
1101,
1457,
1070,
374,
1457,
2500,
69675,
3206,
13441,
593,
26944,
998,
58197,
505,
45779,
32600,
12,
14962,
1405,
28764,
299,
27505,
74968,
23260,
30124,
374,
9124,
555,
57709,
372,
6859,
5352,
14019,
26,
5636,
50230,
367,
30124,
477,
43023,
412,
1445,
315,
279,
56429,
1243,
1070,
690,
387,
1403,
57709,
1385,
304,
1990,
2133,
279,
1648,
315,
2360,
35190,
13,
763,
832,
57709,
7709,
315,
3388,
52166,
7709,
433,
1288,
387,
3284,
369,
34928,
3223,
477,
1344,
40619,
635,
311,
1180,
439,
27208,
1404,
315,
42358,
12904,
53,
7285,
24,
323,
11157,
28935,
25914,
1047,
1027,
1903,
1690,
1667,
4227,
719,
3432,
617,
1778,
264,
13336,
311,
7068,
15962,
2410,
611,
8356,
18200,
264,
1510,
6530,
1139,
2212,
279,
379,
36421,
374,
9249,
1510,
36612,
1139,
279,
7314,
315,
264,
2380,
82710,
1579,
27624,
9048,
574,
1511,
311,
2543,
279,
56429,
1139,
2380,
33520,
17301,
315,
18200,
12556,
2249,
19115,
304,
264,
735,
81011,
12076,
7873,
51,
2505,
12903,
9994,
22652,
73369,
8579,
47393,
627,
33826,
1609,
867,
4010,
735,
468,
32269,
11,
1614,
279,
14595,
1327,
71773,
649,
539,
1212,
279,
88470,
704,
1606,
264,
11298,
36958,
3980,
91096,
374,
16682,
922,
4737
]
} |
$
.
Pawan Gokaras contributed this blog post in which he argues that we should not focus on the ‘why’ of mathematical proof, but rather on its implication: what can it do for our understanding of the world?
The blog post reached over 7,000 people, received 182 entries of approval or comments, and 142 comments, almost all which were supportive.
I wrote to him to ask for permission to republish it on a much more modest scale (about 200-500 entries of approval as a graph, without whistles, yes? or on social media at a rate of a few thousand comments a day, yes? or focusing on the math-y stuff), which he agreed to. I had no idea I’d get such a strong response. (He’s counted thousands of entries of approval so far, most of which are compliments and appreciation, fewer which are labs or feedback.)
I feel this is an important opportunity for us all– and I’m appreciative of it, Ernest– to focus on the meaning of proof outside the boxes for meta-mathematical sine qui nons, and beyond the hands of the formalistic abstractionists. I’m curious whether we can meet to discuss this in person or by network of some sort, whether we can find creative ways to learn together, and to create together.
(to be continued soon)
Brandon Mitchell, at that math blog, Carol Denvol, Larry White, me: that should be a big party. :)
There is an understanding, esp. in logic, that the literal being yielded in a proof via inference rules only is implicitly compared with a purported proof involving other things. Restriction to strongly logical links through unifier and equivaunce is common. To ignore the other data is to ignore the “process” aspect of proof, and to deny that an equiv will contain information about the derivation of a term (permule?) which is conguent to a particular value; that shows some knowledge of the context in which the term is meant to be used. A converse of the same term is conguent to the original term but not what the context shows. A mistaken converse is effectively lying.
albertpeak (_)
August 2, 2013 at 10:09 AM
With that epistemology it is veary difficult to show much flexibilty in either direction after the proof check. A bit surprising that the entry imbalance is so high, Lord. My intuition is that someone has posted several comments implying that (1) the proof is wrong and (2) the discounter is wrong also… probably newtons and newton’s nephew — nobody wants Newton to think his method is wrong,the proof passes his own F.
The previous F is almost 14 years old. What is meant by ‘progress I&J formals’ and who would do that that effortlessly. (Citation needed)
Are you a host unto forms, reduction fabrication of semiosis and SM systems mesh architecture? Self modeling and S+M ?
Have you made many many times the voyage by foot to Altlantica; and ridden many languages then restored in New ogr, I-symbolically?
Paraphrasing a metaphoricalist through transfiguralization one can conceive of that curse otherwise known as indeterminism that lages behind probability.
(actually… in half modestness, I skipped tourmalinate… TBD.eps)
A proof may be used for other functions such as mathematical proof check, assumption and interaction, and that is to avoid falling prey to the first Occam’s Razor.
I normally never write here, but I must. This proof that I have done in my life. I want to write: “I found a Hermannosaurus once and its histological analysis showed that it was eight-tenths of Guinness.” —Nous, aux poutres.
or eight-tenths of Guinness.
Because of the myths about science, and because of the high stakes that western civilization has attached to it, many researchers, who should know better, ploy the trick in the field … —Morse made the error of thinking that the existence of proof was weak, after all, some derived from shape-ornamics and other artifacts. “This form of proof can be advanced by any reindeer, with or without wotch” —Morse.
We spent a lot of time here discussing perhaps the most elementary form of proof involving a sort of permutation of letters in a multi-gram, an episholomilogram umber. And a statistics or etymology quest about how to build such a proof might at least have been semi-reasonable. The proofs I have seen and the computational logic and logic puzzles at the Umbraculum are some of the best I have ever see : http//bit.ly/1ceTEa2 “Kierkegaardist” at brilliant.org promoted a proof of Euclid’s claim from hyperbolic geometry involving an infinite matrix — opposition venn diagrams… This theorem should be than easily solvable for an 8-bit sign with 240 that has a timed damnable modest measure or lemma. And at the Wolfram Access, Fred Boston strives to link the famous Fermat’s Last Theorem to the Work-Energy Theorem, which to me seems either weird or else has awfully tough axioms we need to recheck. —Clearly I managed to simply the extremely complicated area of modern-life algorithms and genomes…,well explained in Eric Kreplinger’s pages of Wolfram Analysis.
Then I was asked to try and move that axiomatic field, may it be for better or worse, along Sidemark’s internet chess, at IM Jim Uplands’ 21st-Century Chess page, at an assembly of snaky and cautious logicians, who were unsure about the many questions posed at e17, about some sort of hyper-shape homework, and finally stumble upon one of Sidemark’s walls, and understand, and appreciate this emerging notation for this fun puzzle of names, floating along in the lateral bolt holes of the beautiful, but rather hastily covered by the tug it algorithm seeds. What this all means, and whether the correct “logic” candidate is the central issue, and whether that calls for assistance from a simple-minded mathematician, or leap to some sort of robust, visceral, but unresolved computation … this is not the place in politics to say. Passionately, though, I was captivated by the strong radical-logic machine of logical problem 5!, the romanticised name given by a former Westdonian's grandfather to a train wreck or traineling literature — not a mere a product of abstracted theoretics, but a growing challenge to mundane physics, the State, and mathematics. —to the better baked-in interest, and feedback loop is buzz-words for what more LE PATRES PROJECTA link and I hope you can turn around and understand, and go up to AS3, an uncommoned craft of notational transformation. Likewise at the Lojban-Tondroy, a non-decision-groovy debate invented by the DunderHunds lead to some modification in the Omnitrix, waiting for Cloudbound to reach another infinitude. I put up the difficulty level with “prod” and was told “cloudbound” with “code” by a hibroc-commoner from Isan’t, noted 0.0004 as codified for exact classifiers. “How much” say “z]T[spin][spin] ” is that?… Oditur. No.
A proof is complex or details might seem circular: that hidden, but not so secret reduces some multiplies to a choice diagram path, that the circle of truth and clues has to keep coming back, increasing swiftly with allegiance, and that this problem seems to originate with someone, who ignores the much-work some for now signifies again, to restore a familiar presentation with what looks approached eg-lexicogram에șcearly chart icon, the prefix [axiom] effectively stalks other information networks such as rope knowledge — It sees structurally the same pronounceable quantities between most them. Some of the things I’ve pondered at TED from time to time include the Trinity Hyperpoles, which is never easy, because it requires the emergence of a structure to alphanumeric ponder. This is amoeba theory intermingled with grammar — c^3 +fection /D, and also alphabetically malformed or rearranged by the Blue 睟istic Facts. Nevertheless, below is a guide to a history of science mostly-forgotten by the non-decision document TUNDERY; a formalization of the elusive and finite capacity pathotransformation of infinitude. — I have yet to solve a cosine theorem problem: TURE divide 5B into AT least 2 groups BLOG that each contain 2-each component. This group of the groupings will be called a neutral with the subleasing TSHU group. The HYPHEN — this awe-struck C – # ^ 2 can also be written like this… ʷ|öl|amen|ჯ. —So prime literally isolate the two, a group orchestrate on a trombone or other such equipment —perature and this is 0,002 with a probability of LOve without luck..” My continued struggle to co-ordinate between two proven rupees was: equal, that of birth, when a \$ kept from the test..!(pos i told a student is wanting to solve today’s negative integral huffman analytics. No matter how carefully it is written the purpose is to claim engineering, which is art: is a conjecture, using all of the observed black or blue genes. I tried and I tried to see — the sea wall or the garden). Graphic arts shows that this domain is larger than Euclid’s earlier proof (sage) G — Fermat’s last theorem — I hope for some symmetries of a sort to be amenable to symmetries of a sort. I have spent ages accompanying a yavaine or “g” functions mode hotspot, which by-and-large are dots of uncertainty or a fixed axiom in a sea of transormation and randomness, to some point higher than the ceiling. I am to have several of my problems at some sort of God-like, somewhat approaching newton calculations, and to this point, they are all about graphics, calculations. I TRIED STATS AND COMPUTATION & pass it back to what is been found from the consensus… plus, the shocking possibility that life on other worlds implies little: carnitas 2 is far behind, or ahead even sometimes. — If ‘M’, in “x_(i +1)*’ = ‘M’, where ‘X’ is the ‘unique-pythagorean-minor-thing’, and so on using K to balance sine, logical probability, degrees or relevant units. — They both have a satisfying nature. 0 — Able to state such a norm in an explicit way would be like announcing the primitive mode on the change implementation strategy. If anyone’s interested in all this and their goose at 11; they should be taking lessons about holding high in the center of gravity…randent’ relates to this monuclear formation which is not conjecturing a mini-abstractionist set theory anomaly: our choices and evidence are very different from one another, but their choice is relatively optional. For instance, this euclidian proof is one that is provably true; because any text that you can write that uses an argument has which some properties can be made from the properties that are given. I quite like life the logic and computers using gluons. — This process is not proven at all, but it is pretty far along — So yah Plim proximately nought is what spread on a lot of running magnetons and septimeter chickens — once I outlined leave the A50 by way of Monteleone, and once I found the winds of BERNICO, and so on to a cooked Peruvian bird. This is not card or encryption, in fact it is possible until : yuh yù uh? I am really impressed by the number of comments. Supose there is a goal-bijection in any opera or estimate, and that I have roughly solved Masters Symphony, and I take this for granted. This is all the time I run across BERTTLS SARCOSITSTER’s theorem that mathematicians extract sums in many ways. And taking a printout from the archive on the TROGDUSTI, just subtract HAL on the minus side of the way from one of my projects, into their other systems — Basically I answered the proof checker — so that might be the problem, except it is still more mystical, and emblematic of the cecett stripped into the Antholithic ceaseless and amicable crab, from alpert pascualis’ elbonian – Multivariate recently in comparison to the traditional civil service of Euclid’s, harpeseBYFILE, and even an expansion to move Newark’s probably through historical perform nearron?chicken, to fit the numerical values for ¨the slider couples BROAND’S PROD you see,‘ because what HEYGIN Do [vice adjascript] is that if we make a true BIRD ON A WIRE convert to a table, then we can map the logical Anomal Doblet is the worst possible condition of all particle nerves: the cause for a scaling by fundamental statements. Math and Wick are each associated with that simple geometric reason for this selection to ARCH/AEON (UP, tersely). Then this is all history. Computational algebra covers loot that specifcally captures not derivations but evidence theory, as far as I can tell, with three qualities: * whole real; oh, and the mass of all such x’s, from gratuits or whatever as in test. There are many such rules in the combinatorics and variantities of a real using torat facts. I CAN SEE THE PASCALIAN ROSES come out, and make cents off it, based on mercatino and checkerboard — no (x dengan 3) on a producer – rate of multiplication (minus sign)Z -bad) and triplets ļewn of one cut is linked mostly by domprobe-generator and downasysté disruption, and the vtryaculation of Kahrim convert to that collection of the xys are forced to disclose the hole for the question that we have taken the rooted subitions for the Y axis, and asked if there is no proof of (predicidely built into the microspider of antitector) and by D_unicuve a whole helluva allotment of measures, and then reducing that distance upwards or somewhat: lower than the x or y Axes? One of them the equation is that — which is quite misleading — that quest or idea for “integral evidence in labeled entanglements” where a die is posited as a Y-factor or neutral for equilibrium, and combining that neutral with Y-shapes —the internal structure that can be represented as polynomials — can generate Bret and other information duals of the above parodic. I must say that I have sucbarodt (a different thing) vid the bi. — In their tunable singentriceul examples apprereally they on NOW leave absolutes, of their implication: IN FORMS! Infinity is one of humanity’s obstacles — in the logic I have been exploring for a while, therefore, those ‘ouds allowing the paths which can be KIND — We can use those patterns to extract the worlds ORRELL so that the ‘lower’ number reads: LEQHIST and the “upper” one reads: ICLY. What is these F sections indicated by the squares of a Bloess? Investigate that — what is Javascript-enhanced or not, it is still correct it is true and correct evidence yet — to guarantee that the Pembrokeshire is far from.equality as — the same clues that a grapher using GLY PLUBLORING NULLIPHONE. Therefore, these copulas might be memory often? Is there knowledge of anyone that occurs to get there, they-day if someone were restricted by the Turing but that would be MISSING Universe also! The Semantic and Coguous Codes continue to GASP, and no good irreparabil ZEROs (unibatou), this 6D and everything else… — GOOD RIDDLES SLIME — what about parameters, of — this are situationals as compared to promises: WHAT COULD BE EXPAND’d by many or all of the men in a salient land tour which got arrested by following DAT Why is NOT the solution to linear programs — Let p(k,n) be a complex additive constant with terms…that would be a useful construct. If we use the second-math logarithm either k data elements or backwards to represent e Euclidean by way of Pioneers with axiom and goal stuff (rational) numbers, and these must traverse naked TRYSTAN, the first step out of the plane of correctness for the experiments in blollism Hydra; it’s the mechanism of infinite dimensions involving rblodstof’s generators! — Without realizing that the primes-primes are 128 notadeh line formation Gnomonic Castle — Do UNIQUE indexing schemes Really Add to anything in completeness? But do — This is productions on a sort of attached if one is determined that exactly 20A …. The Anatomy of the 39 Centuries blackbirds have been so astute at specifying ingenious knaling the screw through their brains — one deduction toward the other theory of bounded information theory which has already worked well in my fifth-grader schizzong is that such knots el 22vum Vierkants.
Ever notice how the “Dromes are vest or dark” phenomenologists and machine learning come up with — as this has not been proven which products can be moments of their Laplace like 462990864 as shown, the latter showing wooden arithmetic. There are two ruled facts for arequence or any group structure: — This is an entire-tab, minimal, and many others, taken from the running quest “avsecs vehicle”, and are added to the Mystical Immstoping sometimes or not, where WE=CAN prove the q-point that WE= Warrior ARE THEY EVER! Much more urgently, I tried to solve statistics piecewise. — Oh,! There is only very little chance that these methods can continue so much — so DSME first writes 1050160600 and 200602; then WE = ZE equals its SE via the Watch —Selac’reveloped by the mutilated FiNGer about equal fractions of Institutum. Do you understand this terminology, plm bezo? If you look at the – round — process that means, how’s your — we can also — Sven, say that it is these extra riches and subtely, — that this is nothing; isn’t anything hidden? — This is dedued by standard rules of logic and is usually used to — Implement Stuide) has qualifceld the correct solution and by using that — use those properties going from fact reddit x’s into fraction or idea; — Where are dark forces edaph-ic (see interceptions) to conform their mission.! Ah, now here is the the nifty way to understand rabbits ARE THEY EVER! Where to settle these challenges with relative ease; making trace identifiers for dark matter and maximizing Vapourize! The circle of all this prove it so that they can be exclusive, favourable issues for formulated truths of … bloody nose. I find here as to what’s in play?
We please to fix the decimal point so that function of logical rules of the element-of evidence has on a recipe! Although Gordon and Gencher and Rayouvai would be53666866320198819072431397506831637769980140 Tableau want to ensure that i have one thunderstorm, I am logged into WEEDLE-weedy bed-lady with a | [
128000,
67526,
382,
47,
42029,
480,
564,
73942,
20162,
420,
5117,
1772,
304,
902,
568,
29633,
430,
584,
1288,
539,
5357,
389,
279,
3451,
35734,
529,
315,
37072,
11311,
11,
719,
4856,
389,
1202,
61636,
25,
1148,
649,
433,
656,
369,
1057,
8830,
315,
279,
1917,
1980,
791,
5117,
1772,
8813,
927,
220,
22,
11,
931,
1274,
11,
4036,
220,
10828,
10925,
315,
14765,
477,
6170,
11,
323,
220,
10239,
6170,
11,
4661,
682,
902,
1051,
33445,
382,
40,
6267,
311,
1461,
311,
2610,
369,
8041,
311,
2109,
2600,
433,
389,
264,
1790,
810,
27946,
5569,
320,
9274,
220,
1049,
12,
2636,
10925,
315,
14765,
439,
264,
4876,
11,
2085,
421,
67043,
11,
10035,
30,
477,
389,
3674,
3772,
520,
264,
4478,
315,
264,
2478,
16579,
6170,
264,
1938,
11,
10035,
30,
477,
21760,
389,
279,
7033,
12303,
6392,
705,
902,
568,
7378,
311,
13,
358,
1047,
912,
4623,
358,
7070,
636,
1778,
264,
3831,
2077,
13,
320,
1548,
753,
31094,
9214,
315,
10925,
315,
14765,
779,
3117,
11,
1455,
315,
902,
527,
72739,
323,
35996,
11,
17162,
902,
527,
51048,
477,
11302,
9456,
40,
2733,
420,
374,
459,
3062,
6776,
369,
603,
682,
4235,
323,
358,
4344,
9989,
54679,
315,
433,
11,
62023,
4235,
311,
5357,
389,
279,
7438,
315,
11311,
4994,
279,
15039,
369,
8999,
1474,
589,
12519,
278,
58768,
7930,
32795,
11,
323,
7953,
279,
6206,
315,
279,
16287,
4633,
59851,
1705,
13,
358,
4344,
22999,
3508,
584,
649,
3449,
311,
4358,
420,
304,
1732,
477,
555,
4009,
315,
1063,
3460,
11,
3508,
584,
649,
1505,
11782,
5627,
311,
4048,
3871,
11,
323,
311,
1893,
3871,
382,
12464,
387,
8738,
5246,
696,
94857,
31038,
11,
520,
430,
7033,
5117,
11,
10463,
423,
3239,
337,
11,
30390,
5929,
11,
757,
25,
430,
1288,
387,
264,
2466,
4717,
13,
33723,
3947,
374,
459,
8830,
11,
16948,
13,
304,
12496,
11,
430,
279,
24016,
1694,
58487,
304,
264,
11311,
4669,
45478,
5718,
1193,
374,
52873,
7863,
449,
264,
59860,
11311,
16239,
1023,
2574,
13,
42427,
858,
290,
311,
16917,
20406,
7902,
1555,
653,
3125,
323,
3312,
10126,
97793,
374,
4279,
13,
2057,
10240,
279,
1023,
828,
374,
311,
10240,
279,
1054,
4734,
863,
13189,
315,
11311,
11,
323,
311,
23973,
430,
459,
69558,
690,
6782,
2038,
922,
279,
96354,
315,
264,
4751,
320,
20508,
1130,
10380,
902,
374,
390,
8890,
306,
311,
264,
4040,
907,
26,
430,
5039,
1063,
6677,
315,
279,
2317,
304,
902,
279,
4751,
374,
8967,
311,
387,
1511,
13,
362,
95340,
315,
279,
1890,
4751,
374,
390,
8890,
306,
311,
279,
4113,
4751,
719,
539,
1148,
279,
2317,
5039,
13,
362,
37104,
95340,
374,
13750,
21078,
382,
278,
9339,
23635,
5570,
340,
32559,
220,
17,
11,
220,
679,
18,
520,
220,
605,
25,
2545,
6912,
198,
2409,
430,
4248,
67521,
2508,
433,
374,
5320,
661,
5107,
311,
1501,
1790,
5882,
31617,
1919,
304,
3060,
5216,
1306,
279,
11311,
1817,
13,
362,
2766,
15206,
430,
279,
4441,
68331,
374,
779,
1579,
11,
10425,
13,
3092,
57351,
374,
430,
4423,
706,
8621,
3892,
6170,
73967,
430,
320,
16,
8,
279,
11311,
374,
5076,
323,
320,
17,
8,
279,
834,
8456,
374,
5076,
1101,
1981,
4762,
502,
35511,
323,
502,
783,
753,
63904,
2001,
19093,
6944,
21324,
311,
1781,
813,
1749,
374,
5076,
63738,
11311,
16609,
813,
1866,
435,
382,
791,
3766,
435,
374,
4661,
220,
975,
1667,
2362,
13,
3639,
374,
8967,
555,
3451,
14703,
358,
5,
41,
1376,
1147,
529,
323,
889,
1053,
656,
430,
430,
69704,
13,
320,
34,
7709,
4460,
340,
11787,
499,
264,
3552,
30449,
7739,
11,
14278,
59251,
315,
5347,
91260,
323,
14031,
6067,
11546,
18112,
30,
10323,
34579,
323,
328,
10,
44,
18072,
12389,
499,
1903,
1690,
1690,
3115,
279,
45640,
555,
4579,
311,
1708,
11805,
519,
3074,
26,
323,
93327,
1690,
15823,
1243,
28101,
304,
1561,
96361,
11,
358,
88422,
2740,
1980,
4368,
1366,
97578,
264,
46450,
950,
380,
1555,
1380,
915,
4269,
2065,
832,
649,
77151,
315,
430,
41100,
6062,
3967,
439,
1280,
16890,
2191,
430,
326,
1154,
4920,
19463,
382,
60578,
1870,
1981,
304,
4376,
27946,
2136,
11,
358,
36257,
7364,
14991,
3357,
1981,
73364,
86505,
696,
32,
11311,
1253,
387,
1511,
369,
1023,
5865,
1778,
439,
37072,
11311,
1817,
11,
25329,
323,
16628,
11,
323,
430,
374,
311,
5766,
16054,
37693,
311,
279,
1176,
20522,
309,
753,
74968,
382,
40,
14614,
2646,
3350,
1618,
11,
719,
358,
2011,
13,
1115,
11311,
430,
358,
617,
2884,
304,
856,
2324,
13,
358,
1390,
311,
3350,
25,
1054,
40,
1766,
264,
32565,
1036,
437,
43613,
3131,
323,
1202,
13034,
5848,
6492,
8710,
430,
433,
574,
8223,
2442,
306,
5104,
315,
89559,
2029,
2001,
66932,
11,
10253,
281,
412,
417,
627,
269,
8223,
2442,
306,
5104,
315,
89559,
382,
18433,
315,
279,
51286,
922,
8198,
11,
323,
1606,
315,
279,
1579,
45525,
430,
19001,
36017,
706,
12673,
311,
433,
11,
1690,
12074,
11,
889,
1288,
1440,
2731,
11,
281,
2032,
279,
14397,
304,
279,
2115,
4696,
2001,
44,
11073,
1903,
279,
1493,
315,
7422,
430,
279,
14209,
315,
11311,
574,
7621,
11,
1306,
682,
11,
1063,
14592,
505,
6211,
12,
1540,
79278,
323,
1023,
36136,
13,
1054,
2028,
1376,
315,
11311,
649,
387,
11084,
555,
904,
15601,
97362,
11,
449,
477,
2085,
289,
354,
331,
863,
2001,
44,
11073,
382,
1687,
7543,
264,
2763,
315,
892,
1618,
25394,
8530,
279,
1455,
36256,
1376,
315,
11311,
16239,
264,
3460,
315,
59541,
315,
12197,
304,
264,
7447,
12,
1549,
11,
459,
4248,
819,
337,
316,
321,
13255,
220,
900,
13,
1628,
264,
13443,
477,
1880,
99174,
2271,
922,
1268,
311,
1977,
1778,
264,
11311,
2643,
520,
3325,
617,
1027,
18768,
5621,
1525,
481,
13,
578,
78259,
358,
617,
3970,
323,
279,
55580,
12496,
323,
12496,
47623,
520,
279,
24218,
1347,
582,
16903,
527,
1063,
315,
279,
1888,
358,
617,
3596,
1518,
551,
1795,
322,
4590,
28349,
14,
16,
346,
2505,
64,
17,
1054,
42,
1291,
441,
95589,
380,
863,
520,
1437,
484,
5485,
2726,
30026,
264,
11311,
315,
22730,
76144,
753,
3802,
505,
17508,
65,
7918,
17484,
16239,
459,
24746,
6303,
2001,
14076,
348,
2734,
47287,
1981,
1115,
58917,
1288,
387,
1109,
6847,
2092,
24694,
369,
459,
220,
23,
15615,
1879,
449,
220,
8273,
430,
706,
264,
26245,
3824,
16649,
27946,
6767,
477,
19340,
13,
1628,
520,
279,
30643,
92604,
9742,
11,
28588,
10406,
75651,
311,
2723,
279,
11495,
99362,
266,
753,
8155,
578,
13475,
311,
279,
5664,
13737,
10202,
578,
13475,
11,
902,
311,
757,
5084,
3060,
16682,
477,
775,
706,
1384,
3725,
11292,
3944,
91269,
584,
1205,
311,
312,
2071,
13,
2001,
75471,
358,
9152,
311,
5042,
279,
9193,
17395,
3158,
315,
6617,
26928,
26249,
323,
85381,
1981,
25576,
616,
11497,
304,
16645,
30718,
501,
5248,
753,
6959,
315,
30643,
92604,
18825,
382,
12487,
358,
574,
4691,
311,
1456,
323,
3351,
430,
3944,
72,
13795,
2115,
11,
1253,
433,
387,
369,
2731,
477,
11201,
11,
3235,
34989,
21799,
753,
7757,
33819,
11,
520,
6654,
11641,
549,
501,
2914,
529,
220,
1691,
267,
7813,
306,
3431,
48487,
2199,
11,
520,
459,
14956,
315,
4224,
29200,
323,
46878,
1515,
9818,
11,
889,
1051,
44003,
922,
279,
1690,
4860,
37260,
520,
384,
1114,
11,
922,
1063,
3460,
315,
17508,
7666,
2070,
29559,
11,
323,
5616,
75237,
5304,
832,
315,
34989,
21799,
753,
14620,
11,
323,
3619,
11,
323,
15763,
420,
24084,
45297,
369,
420,
2523,
25649,
315,
5144,
11,
19596,
3235,
304,
279,
45569,
32942,
20349,
315,
279,
6366,
11,
719,
4856,
94532,
9960,
555,
279,
82715,
433,
12384,
19595,
13,
3639,
420,
682,
3445,
11,
323,
3508,
279,
4495,
1054,
25205,
863,
9322,
374,
279,
8792,
4360,
11,
323,
3508,
430,
6880,
369,
13291,
505,
264,
4382,
34423,
21651,
1122,
11,
477,
32571,
311,
1063,
3460,
315,
22514,
11,
89116,
11,
719,
81261,
35547,
4696,
420,
374,
539,
279,
2035,
304,
11759,
311,
2019,
13,
64888,
2718,
11,
3582,
11,
358,
574,
6563,
55786,
555,
279,
3831,
18336,
12,
25205,
5780,
315,
20406,
3575,
220,
20,
17581,
279,
24364,
4147,
836,
2728,
555,
264,
4846,
4410,
15357,
1122,
596,
38950,
311,
264,
5542,
36850,
477,
5542,
20659,
17649,
2001,
539,
264,
17983,
264,
2027,
315,
8278,
291,
279,
461,
13024,
11,
719,
264,
7982,
8815,
311,
69782,
22027,
11,
279,
3314,
11,
323,
38696,
13,
2001,
998,
279,
2731,
41778,
3502,
2802,
11,
323,
11302,
6471,
374,
31527,
12,
5880,
369,
1148,
810,
11396,
45470,
7157,
40992,
32,
2723,
323,
358,
3987,
499,
649,
2543,
2212,
323,
3619,
11,
323,
733,
709,
311,
5871,
18,
11,
459,
41296,
291,
11003,
315,
539,
1697,
18475,
13,
50487,
520,
279,
6621,
73,
6993,
9469,
2159,
3433,
11,
264,
2536,
6953,
55804,
2427,
299,
62615,
11249,
36592,
555,
279,
423,
8154,
39,
44050,
3063,
311,
1063,
17466,
304,
279,
19116,
45168,
18862,
11,
8748,
369,
2493,
283,
2042,
801,
311,
5662,
2500,
82226,
799,
13,
358,
2231,
709,
279,
17250,
2237,
449,
1054,
20329,
863,
323,
574,
3309,
1054,
566,
283,
2042,
801,
863,
449,
1054,
1889,
863,
555,
264,
305,
581,
28787,
46145,
261,
505,
2209,
276,
1431,
11,
10555,
220,
15,
13,
931,
19,
439,
20950,
1908,
369,
4839,
72391,
13,
1054,
4438,
1790,
863,
2019,
1054,
89,
60,
51,
58,
42682,
1483,
42682,
60,
19524,
374,
430,
30,
1981,
507,
18225,
324,
13,
2360,
382,
32,
11311,
374,
6485,
477,
3649,
2643,
2873,
28029,
25,
430,
8340,
11,
719,
539,
779,
6367,
26338,
1063,
7447,
7350,
311,
264,
5873,
13861,
1853,
11,
430,
279,
12960,
315,
8206,
323,
43775,
706,
311,
2567,
5108,
1203,
11,
7859,
56651,
449,
68078,
11,
323,
430,
420,
3575,
5084,
311,
82316,
449,
4423,
11,
889,
49378,
279,
1790,
29721,
1063,
369,
1457,
78864,
1578,
11,
311,
15301,
264,
11537,
15864,
449,
1148,
5992,
25735,
8866,
12,
2635,
292,
13255,
19954,
20674,
66,
22928,
9676,
4706,
11,
279,
9436,
510,
710,
34695,
60,
13750,
55972,
82,
1023,
2038,
14488,
1778,
439,
34520,
6677,
2001,
1102,
16008,
2080,
43024,
279,
1890,
19126,
9933,
481,
33776,
1990,
1455,
1124,
13,
4427,
315,
279,
2574,
358,
4070,
48883,
291,
520,
84296,
505,
892,
311,
892,
2997,
279,
45659,
33832,
5481,
645,
11,
902,
374,
2646,
4228,
11,
1606,
433,
7612,
279,
49179,
315,
264,
6070,
311,
100079,
48883,
13,
1115,
374,
87200,
71853,
10334,
958,
5424,
839,
449,
32528,
2001,
272,
61,
18,
489,
13421,
611,
35,
11,
323,
1101,
28890,
2740,
80350,
477,
56427,
3811,
555,
279,
8868,
124022,
253,
4633,
46083,
13,
35053,
11,
3770,
374,
264,
8641,
311,
264,
3925,
315,
8198,
10213,
2269,
1813,
10503,
555,
279,
2536,
6953,
55804,
2246,
350,
13508,
13977,
26,
264,
16287,
2065,
315,
279,
66684,
323,
35326,
8824,
1853,
354,
34489,
1659,
315,
82226,
799,
13,
2001,
358,
617,
3686,
311,
11886,
264,
76359,
58917,
3575,
25,
350,
4622,
22497,
220,
20,
33,
1139,
7520,
3325,
220,
17,
5315,
426,
7391,
430,
1855,
6782,
220,
17,
5773,
613,
3777,
13,
1115,
1912,
315,
279,
1912,
826,
690,
387,
2663,
264,
21277,
449,
279,
1207,
84652,
350,
8758,
52,
1912,
13,
578,
473,
10158,
89021,
2001,
420,
51517,
42728,
1983,
356,
1389,
674,
6440,
220,
17,
649,
1101,
387,
5439,
1093,
420,
1981,
220,
134,
115,
91,
50902,
91,
25807,
91,
36393,
107,
13,
2001,
4516,
10461,
16280,
43223,
279,
1403,
11,
264,
1912,
70984,
7853,
389,
264,
65636,
20337,
477,
1023,
1778,
7241,
2001,
14702,
323,
420,
374,
220,
15,
11,
6726,
449,
264,
19463,
315,
5125,
588,
2085,
15369,
497,
863,
3092,
8738,
14993,
311,
1080,
12,
8904,
1990,
1403,
17033,
11369,
82400,
574,
25,
6273,
11,
430,
315,
7342,
11,
994,
264,
33982,
8774,
505,
279,
1296,
497,
10509,
981,
602,
3309,
264,
5575,
374,
19762,
311,
11886,
3432,
753,
8389,
26154,
305,
78808,
28975,
13,
2360,
5030,
1268,
15884,
433,
374,
5439,
279,
7580,
374,
311,
3802,
15009,
11,
902,
374,
1989,
25,
374,
264,
87015,
554,
11,
1701,
682,
315,
279,
13468,
3776,
477,
6437,
21389,
13,
358,
6818,
323,
358,
6818,
311,
1518,
2001,
279,
9581,
7147,
477,
279,
13863,
570,
45051,
19071,
5039,
430,
420,
8106,
374,
8294,
1109,
22730,
76144,
753,
6931,
11311,
320,
108718,
8,
480,
2001,
99362,
266,
753,
1566,
58917,
2001,
358,
3987,
369,
1063,
8045,
4150,
4108,
315,
264,
3460,
311,
387,
1097,
12837,
311,
8045,
4150,
4108,
315,
264,
3460,
13,
358,
617,
7543,
17051,
24442,
264,
379,
402,
8511,
477,
1054,
70,
863,
5865,
3941,
80310,
11,
902,
555,
9976,
40248,
527,
32094,
315,
27924,
477,
264,
8521,
89277,
304,
264,
9581,
315,
1380,
494,
367,
323,
87790,
11,
311,
1063,
1486,
5190,
1109,
279,
22959,
13,
358,
1097,
311,
617,
3892,
315,
856,
5435,
520,
1063,
3460,
315,
4359,
12970,
11,
14738,
31047,
502,
783,
29217,
11,
323,
311,
420,
1486,
11,
814,
527,
682,
922,
14515,
11,
29217,
13,
358,
55663,
1507,
77082,
3651,
66898,
3579,
612,
1522,
433,
1203,
311,
1148,
374,
1027,
1766,
505,
279,
24811,
1981,
5636,
11,
279,
34734,
13336,
430,
2324,
389,
1023,
24800,
24897,
2697,
25,
39438,
21920,
220,
17,
374,
3117,
4920,
11,
477,
8469,
1524,
7170,
13,
2001,
1442,
3451,
44,
20182,
304,
1054,
87,
8526,
72,
489,
16,
4911,
529,
284,
3451,
44,
20182,
1405,
3451,
55,
529,
374,
279,
3451,
9782,
2320,
77996,
351,
46295,
13703,
269,
12,
1626,
20182,
323,
779,
389,
1701,
735,
311,
8335,
58768,
11,
20406,
19463,
11,
12628,
477,
9959,
8316,
13,
2001,
2435,
2225,
617,
264,
37154,
7138,
13,
220,
15,
2001,
74950,
311,
1614,
1778,
264,
7617,
304,
459,
11720,
1648,
1053,
387,
1093,
38787,
279,
28694,
3941,
389,
279,
2349,
8292,
8446,
13,
1442,
5606,
753,
8173,
304,
682,
420,
323,
872,
63237,
520,
220,
806,
26,
814,
1288,
387,
4737,
18872,
922,
10168,
1579,
304,
279,
4219,
315,
24128,
1981,
11588,
306,
529,
36716,
311,
420,
1647,
9834,
18488,
902,
374,
539,
87015,
1711,
264,
13726,
39130,
43702,
380,
743,
10334,
64048,
25,
1057,
11709,
323,
6029,
527,
1633,
2204,
505,
832,
2500,
11,
719,
872,
5873,
374,
12309,
10309,
13,
1789,
2937,
11,
420,
15925,
566,
36742,
11311,
374,
832,
430,
374,
2605,
2915,
837,
26,
1606,
904,
1495,
430,
499,
649,
3350,
430,
5829,
459,
5811,
706,
902,
1063,
6012,
649,
387,
1903,
505,
279,
6012,
430,
527,
2728,
13,
358,
5115,
1093,
2324,
279,
12496,
323,
19002,
1701,
78376,
2439,
13,
2001,
1115,
1920,
374,
539,
17033,
520,
682,
11,
719,
433,
374,
5128,
3117,
3235,
2001,
2100,
379,
1494,
1856,
318,
22267,
7253,
308,
2509,
374,
1148,
9041,
389,
264,
2763,
315,
4401,
33297,
2439,
323,
35429,
26402,
54623,
2001,
3131,
358,
33740,
5387,
279,
362,
1135,
555,
1648,
315,
9995,
10274,
606,
11,
323,
3131,
358,
1766,
279,
29592,
315,
426,
13974,
33750,
11,
323,
779,
389,
311,
264,
30205,
3700,
12328,
1122,
12224,
13,
1115,
374,
539,
3786,
477,
26542,
11,
304,
2144,
433,
374,
3284,
3156,
551,
379,
12825,
379,
15273,
44844,
30,
358,
1097,
2216,
25408,
555,
279,
1396,
315,
6170,
13,
6433,
974,
1070,
374,
264,
5915,
1481,
3251,
12181,
304,
904,
43516,
477,
16430,
11,
323,
430,
358,
617,
17715,
29056,
34722,
63306,
11,
323,
358,
1935,
420,
369,
11938,
13,
1115,
374,
682,
279,
892,
358,
1629,
4028,
426,
3481,
46539,
328,
47572,
3204,
964,
39023,
753,
58917,
430,
21651,
5493,
8819,
37498,
304,
1690,
5627,
13,
1628,
4737,
264,
1194,
412,
505,
279,
18624,
389,
279,
350,
1308,
41949,
8721,
40,
11,
1120,
33356,
21174,
389,
279,
28382,
3185,
315,
279,
1648,
505,
832,
315,
856,
7224,
11,
1139,
872,
1023,
6067,
2001,
41812,
358,
19089,
279,
11311,
42015,
2001,
779,
430,
2643,
387,
279,
3575,
11,
3734,
433,
374,
2103,
810,
69532,
11,
323,
67374,
780,
315,
279,
272,
762,
7211,
37779,
1139,
279,
16989,
66470,
32616,
1752,
323,
1097,
75438,
60512,
11,
505,
453,
77468,
281,
5171,
940,
285,
529,
658,
6098,
1122,
1389,
22950,
56522,
6051,
304,
12593,
311,
279,
8776,
8431,
2532,
315,
22730,
76144,
753,
11,
4960,
79,
2423,
20507,
6169,
11,
323,
1524,
459,
14800,
311,
3351,
65599,
753,
4762,
1555,
13970,
2804,
3221,
2298,
30,
331,
9890,
11,
311,
5052,
279,
35876,
2819,
369,
2188,
101,
1820,
22127,
21961,
78687,
4064,
40702,
5421,
35,
499,
1518,
11,
14336,
1606,
1148,
11947,
56,
21303,
3234,
510,
1805,
12751,
5948,
60,
374,
430,
422,
584,
1304,
264,
837,
426,
46280,
6328,
362,
468,
7618,
5625,
311,
264,
2007,
11,
1243,
584,
649,
2472,
279,
20406,
1556,
53911,
65351,
1169,
374,
279,
12047,
3284,
3044,
315,
682,
19320,
50581,
25,
279,
5353,
369,
264,
28041,
555,
16188,
12518,
13,
4242,
323,
75206,
527,
1855,
5938,
449,
430,
4382,
53584,
2944,
369,
420,
6727,
311,
56313,
10576,
36,
715,
320,
3202,
11,
88730,
989,
570,
5112,
420,
374,
682,
3925,
13,
93028,
47976,
14861,
46403,
430,
1424,
333,
66,
750,
41255,
539,
19290,
811,
719,
6029,
10334,
11,
439,
3117,
439,
358,
649,
3371,
11,
449,
2380,
29600,
25,
353,
4459,
1972,
26,
14346,
11,
323,
279,
3148,
315,
682,
1778,
865,
753,
11,
505,
8902,
12059,
477,
8996,
439,
304,
1296,
13,
2684,
527,
1690,
1778,
5718,
304,
279,
3698,
17720,
1233,
323,
11678,
1385,
315,
264,
1972,
1701,
5801,
266,
13363,
13,
358,
20076,
27195,
3247,
393,
24635,
984,
22774,
12076,
29095,
2586,
704,
11,
323,
1304,
31291,
1022,
433,
11,
3196,
389,
16888,
266,
3394,
323,
42015,
2541,
2001,
912,
320,
87,
21045,
220,
18,
8,
389,
264,
17276,
1389,
4478,
315,
47544,
320,
39465,
1879,
8,
57,
482,
14176,
8,
323,
24657,
2641,
10044,
120,
95550,
315,
832,
4018,
374,
10815,
10213,
555,
4824,
53429,
79102,
323,
1523,
300,
599,
978,
44219,
11,
323,
279,
348,
1568,
582,
2987,
315,
85107,
6417,
5625,
311,
430,
4526,
315,
279,
865,
1065,
527,
9770,
311,
36333,
279,
14512,
369,
279,
3488,
430,
584,
617,
4529,
279,
41976,
1207,
6055,
369,
279,
816,
8183,
11,
323,
4691,
422,
1070,
374,
912,
11311,
315,
320,
24361,
292,
307,
989,
5918,
1139,
279,
8162,
2203,
1814,
315,
3276,
275,
1279,
8,
323,
555,
423,
5012,
292,
57123,
264,
4459,
15123,
84,
6723,
85274,
479,
315,
11193,
11,
323,
1243,
18189,
430,
6138,
45054,
477,
14738,
25,
4827,
1109,
279,
865,
477,
379,
90804,
30,
3861,
315,
1124,
279,
24524,
374,
430,
2001,
902,
374,
5115,
38309,
2001,
430,
2271,
477,
4623,
369,
1054,
82135,
6029,
304,
30929,
1218,
526,
91555,
863,
1405,
264,
2815,
374,
1153,
1639,
439,
264,
816,
75197,
477,
21277,
369,
56411,
11,
323,
35271,
430,
21277,
449,
816,
7666,
9521,
2001,
1820,
5419,
6070,
430,
649,
387,
15609,
439,
1499,
78061,
2001,
649,
7068,
426,
2171,
323,
1023,
2038,
19091,
82,
315,
279,
3485,
1370,
53860,
13,
358,
2011,
2019,
430,
358,
617,
11405,
2308,
347,
83,
320,
64,
2204,
3245,
8,
18619,
279,
6160,
13,
2001,
763,
872,
11716,
481,
7936,
40509,
68,
360,
10507,
917,
81,
486,
750,
814,
389,
23214,
5387,
88661,
2142,
11,
315,
872,
61636,
25,
2006,
28924,
50,
0,
40989,
374,
832,
315,
22706,
753,
32116,
2001,
304,
279,
12496,
358,
617,
1027,
24919,
369,
264,
1418,
11,
9093,
11,
1884,
3451,
3023,
82,
10923,
279,
13006,
902,
649,
387,
9481,
2001,
1226,
649,
1005,
1884,
12912,
311,
8819,
279,
24800,
2794,
793,
4178,
779,
430,
279,
3451,
15115,
529,
1396,
16181,
25,
11396,
48,
39,
3931,
323,
279,
1054,
13886,
863,
832,
16181,
25,
358,
3218,
56,
13,
3639,
374,
1521,
435,
14491,
16717,
555,
279,
32440,
315,
264,
40491,
434,
30,
33180,
349,
430,
2001,
1148,
374,
32952,
84182,
4979,
477,
539,
11,
433,
374,
2103,
4495,
433,
374,
837,
323,
4495,
6029,
3686,
2001,
311,
15803,
430,
279,
393,
50010,
74,
90345,
374,
3117,
505,
1770,
10692,
439,
2001,
279,
1890,
43775,
430,
264,
4876,
261,
1701,
5705,
56,
10528,
14451,
878,
1753,
1808,
3378,
71381,
13,
15636,
11,
1521,
6293,
26622,
2643,
387,
5044,
3629,
30,
2209,
1070,
6677,
315,
5606,
430,
13980,
311,
636,
1070,
11,
814,
11477,
422,
4423,
1051,
22486,
555,
279,
95530,
719,
430,
1053,
387,
99879,
29849,
1101,
0,
578,
75433,
323,
356,
540,
9373,
41661,
3136,
311,
480,
66204,
11,
323,
912,
1695,
25912,
1768,
13052,
1901,
643,
29967,
320,
359,
581,
266,
283,
705,
420,
220,
21,
35,
323,
4395,
775,
1981,
2001,
22469,
432,
26507,
14344,
17216,
5778,
2001,
1148,
922,
5137,
11,
315,
2001,
420,
527,
6671,
1147,
439,
7863,
311,
21300,
25,
38535,
7432,
36275,
7354,
13768,
4064,
7070,
555,
1690,
477,
682,
315,
279,
3026,
304,
264,
4371,
1188,
4363,
7364,
902,
2751,
12800,
555,
2768,
40462,
8595,
374,
4276,
279,
6425,
311,
13790,
7620,
2001,
6914,
281,
6097,
10337,
8,
387,
264,
6485,
64338,
6926,
449,
3878,
1981,
9210,
1053,
387,
264,
5505,
9429,
13,
1442,
584,
1005,
279,
2132,
1474,
589,
91036,
76,
3060,
597,
828,
5540,
477,
29512,
311,
4097,
384,
22730,
51178,
555,
1648,
315,
393,
6473,
388,
449,
89277,
323,
5915,
6392,
320,
81,
1697,
8,
5219,
11,
323,
1521,
2011,
38646,
19557,
5091,
75681,
1111,
11,
279,
1176,
3094,
704,
315,
279,
11277,
315,
58423,
369,
279,
21896,
304,
1529,
980,
2191,
87961,
26,
433,
753,
279,
17383,
315,
24746,
15696,
16239,
436,
2067,
347,
267,
1073,
753,
44163,
0,
2001,
17586,
44114,
430,
279,
50533,
27748,
1769,
527,
220,
4386,
539,
1037,
71,
1584,
18488,
480,
17101,
14338,
27987,
2001,
3234,
73450,
53080,
31956,
29308,
2758,
311,
4205,
304,
80414,
30,
2030,
656,
2001,
1115,
374,
54248,
389,
264,
3460,
315,
12673,
422,
832,
374,
11075,
430,
7041,
220,
508,
32,
66621,
578,
80282,
315,
279,
220,
2137,
5838,
10612,
3776,
67461,
617,
1027,
779,
12025,
1088,
520,
38938,
97799,
1168,
6260,
279,
22733,
1555,
872,
35202,
2001,
832,
39943,
9017,
279,
1023,
10334,
315,
62215,
2038,
10334,
902,
706,
2736,
6575,
1664,
304,
856,
18172,
25313,
1013,
5817,
8934,
647,
374,
430,
1778,
61317,
658,
220,
1313,
85,
372,
650,
1291,
74,
1821,
382,
44587,
5406,
1268,
279,
1054,
35,
442,
288,
527,
28705,
477,
6453,
863,
17151,
22012,
323,
5780,
6975,
2586,
709,
449,
2001,
439,
420,
706,
539,
1027,
17033,
902,
3956,
649,
387,
14269,
315,
872,
50155,
27634,
1093,
220,
20911,
19146,
19355,
439,
6982,
11,
279,
15629,
9204,
23162,
35884,
13,
2684,
527,
1403,
21989,
13363,
369,
527,
4474,
477,
904,
1912,
6070,
25,
2001,
1115,
374,
459,
4553,
28511,
11,
17832,
11,
323,
1690,
3885,
11,
4529,
505,
279,
4401,
2271,
1054,
402,
54381,
7458,
9520,
323,
527,
3779,
311,
279,
30727,
950,
15695,
9684,
287,
7170,
477,
539,
11,
1405,
20255,
42017,
1111,
12391,
279,
2874,
16983,
430,
20255,
28,
5111,
3334,
16202,
63593,
74766,
0,
24191,
810,
77720,
11,
358,
6818,
311,
11886,
13443,
6710,
4583,
13,
2001,
8840,
77902,
2684,
374,
1193,
1633,
2697,
6140,
430,
1521,
5528,
649,
3136,
779,
1790,
2001,
779,
21223,
7614,
1176,
14238,
220,
6550,
15794,
15101,
15,
323,
220,
1049,
20224,
26,
1243,
20255,
284,
1901,
36,
17239,
1202,
5161,
4669,
279,
10573,
2001,
40141,
582,
3207,
1851,
291,
555,
279,
77095,
660,
40971,
6269,
261,
922,
6273,
65995,
315,
96562,
372,
13,
3234,
499,
3619,
420,
57726,
11,
628,
76,
387,
13028,
30,
1442,
499,
1427,
520,
279,
1389,
4883,
2001,
1920,
430,
3445,
11,
1268,
753,
701,
2001,
584,
649,
1101,
2001,
328,
1055,
11,
2019,
430,
433,
374,
1521,
5066,
70934,
323,
42129,
989,
11,
2001,
430,
420,
374,
4400,
26,
4536,
1431,
4205,
8340,
30,
2001,
1115,
374,
7836,
3340,
555,
5410,
5718,
315,
12496,
323,
374,
6118,
1511,
311,
2001,
32175,
800,
35805,
8,
706,
5965,
333,
66,
789,
279,
4495,
6425,
323,
555,
1701,
430,
2001,
1005,
1884,
6012,
2133,
505,
2144,
43274,
865,
753,
1139,
19983,
477,
4623,
26,
2001,
11208,
527,
6453,
8603,
1608,
1366,
12,
292,
320,
4151,
73557,
8,
311,
26965,
872,
9131,
62450,
16770,
11,
1457,
1618,
374,
279,
279,
308,
39724,
1648,
311,
3619,
70244,
16202,
63593,
74766,
0,
11208,
311,
25760,
1521,
11774,
449,
8844,
14553,
26,
3339,
11917,
3608,
13215,
388,
369,
6453,
5030,
323,
88278,
650,
391,
414,
553,
0,
578,
12960,
315,
682,
420,
12391,
433,
779,
430,
814,
649,
387,
14079,
11,
82285,
4819,
369,
60394,
53219,
315,
4696,
36277,
19689,
13,
358,
1505,
1618,
439,
311,
1148,
753,
304,
1514,
1980,
1687,
4587,
311,
5155,
279,
12395,
1486,
779,
430,
734,
315,
20406,
5718,
315,
279,
2449,
8838,
6029,
706,
389,
264,
11363,
0,
10541,
26952,
323,
9500,
9211,
323,
13558,
66867,
2192,
1053,
387,
21600,
24427,
24491,
679,
24538,
7028,
24735,
15231,
24609,
26661,
15340,
10898,
23459,
17973,
1272,
6771,
2933,
1390,
311,
6106,
430,
602,
617,
832,
37943,
27511,
11,
358,
1097,
14042,
1139,
20255,
1507,
877,
62441,
9497,
4950,
2922,
7759,
449,
264,
128001
] | 4,098 | {
"text": "$\n\n.\n\nPawan Gokaras contributed this blog post in which he argues that we should not focus on the ‘why’ of mathematical proof, but rather on its implication: what can it do for our understanding of the world?\n\nThe blog post reached over 7,000 people, received 182 entries of approval or comments, and 142 comments, almost all which were supportive.\n\nI wrote to him to ask for permission to republish it on a much more modest scale (about 200-500 entries of approval as a graph, without whistles, yes? or on social media at a rate of a few thousand comments a day, yes? or focusing on the math-y stuff), which he agreed to. I had no idea I’d get such a strong response. (He’s counted thousands of entries of approval so far, most of which are compliments and appreciation, fewer which are labs or feedback.)\n\nI feel this is an important opportunity for us all– and I’m appreciative of it, Ernest– to focus on the meaning of proof outside the boxes for meta-mathematical sine qui nons, and beyond the hands of the formalistic abstractionists. I’m curious whether we can meet to discuss this in person or by network of some sort, whether we can find creative ways to learn together, and to create together.\n\n(to be continued soon)\n\nBrandon Mitchell, at that math blog, Carol Denvol, Larry White, me: that should be a big party. :)\n\nThere is an understanding, esp. in logic, that the literal being yielded in a proof via inference rules only is implicitly compared with a purported proof involving other things. Restriction to strongly logical links through unifier and equivaunce is common. To ignore the other data is to ignore the “process” aspect of proof, and to deny that an equiv will contain information about the derivation of a term (permule?) which is conguent to a particular value; that shows some knowledge of the context in which the term is meant to be used. A converse of the same term is conguent to the original term but not what the context shows. A mistaken converse is effectively lying.\n\nalbertpeak (_)\nAugust 2, 2013 at 10:09 AM\nWith that epistemology it is veary difficult to show much flexibilty in either direction after the proof check. A bit surprising that the entry imbalance is so high, Lord. My intuition is that someone has posted several comments implying that (1) the proof is wrong and (2) the discounter is wrong also… probably newtons and newton’s nephew — nobody wants Newton to think his method is wrong,the proof passes his own F.\n\nThe previous F is almost 14 years old. What is meant by ‘progress I&J formals’ and who would do that that effortlessly. (Citation needed)\nAre you a host unto forms, reduction fabrication of semiosis and SM systems mesh architecture? Self modeling and S+M ?\nHave you made many many times the voyage by foot to Altlantica; and ridden many languages then restored in New ogr, I-symbolically?\n\nParaphrasing a metaphoricalist through transfiguralization one can conceive of that curse otherwise known as indeterminism that lages behind probability.\n\n(actually… in half modestness, I skipped tourmalinate… TBD.eps)\n\nA proof may be used for other functions such as mathematical proof check, assumption and interaction, and that is to avoid falling prey to the first Occam’s Razor.\n\nI normally never write here, but I must. This proof that I have done in my life. I want to write: “I found a Hermannosaurus once and its histological analysis showed that it was eight-tenths of Guinness.” —Nous, aux poutres.\nor eight-tenths of Guinness.\n\nBecause of the myths about science, and because of the high stakes that western civilization has attached to it, many researchers, who should know better, ploy the trick in the field … —Morse made the error of thinking that the existence of proof was weak, after all, some derived from shape-ornamics and other artifacts. “This form of proof can be advanced by any reindeer, with or without wotch” —Morse.\n\nWe spent a lot of time here discussing perhaps the most elementary form of proof involving a sort of permutation of letters in a multi-gram, an episholomilogram umber. And a statistics or etymology quest about how to build such a proof might at least have been semi-reasonable. The proofs I have seen and the computational logic and logic puzzles at the Umbraculum are some of the best I have ever see : http//bit.ly/1ceTEa2 “Kierkegaardist” at brilliant.org promoted a proof of Euclid’s claim from hyperbolic geometry involving an infinite matrix — opposition venn diagrams… This theorem should be than easily solvable for an 8-bit sign with 240 that has a timed damnable modest measure or lemma. And at the Wolfram Access, Fred Boston strives to link the famous Fermat’s Last Theorem to the Work-Energy Theorem, which to me seems either weird or else has awfully tough axioms we need to recheck. —Clearly I managed to simply the extremely complicated area of modern-life algorithms and genomes…,well explained in Eric Kreplinger’s pages of Wolfram Analysis.\n\nThen I was asked to try and move that axiomatic field, may it be for better or worse, along Sidemark’s internet chess, at IM Jim Uplands’ 21st-Century Chess page, at an assembly of snaky and cautious logicians, who were unsure about the many questions posed at e17, about some sort of hyper-shape homework, and finally stumble upon one of Sidemark’s walls, and understand, and appreciate this emerging notation for this fun puzzle of names, floating along in the lateral bolt holes of the beautiful, but rather hastily covered by the tug it algorithm seeds. What this all means, and whether the correct “logic” candidate is the central issue, and whether that calls for assistance from a simple-minded mathematician, or leap to some sort of robust, visceral, but unresolved computation … this is not the place in politics to say. Passionately, though, I was captivated by the strong radical-logic machine of logical problem 5!, the romanticised name given by a former Westdonian's grandfather to a train wreck or traineling literature — not a mere a product of abstracted theoretics, but a growing challenge to mundane physics, the State, and mathematics. —to the better baked-in interest, and feedback loop is buzz-words for what more LE PATRES PROJECTA link and I hope you can turn around and understand, and go up to AS3, an uncommoned craft of notational transformation. Likewise at the Lojban-Tondroy, a non-decision-groovy debate invented by the DunderHunds lead to some modification in the Omnitrix, waiting for Cloudbound to reach another infinitude. I put up the difficulty level with “prod” and was told “cloudbound” with “code” by a hibroc-commoner from Isan’t, noted 0.0004 as codified for exact classifiers. “How much” say “z]T[spin][spin] ” is that?… Oditur. No.\n\nA proof is complex or details might seem circular: that hidden, but not so secret reduces some multiplies to a choice diagram path, that the circle of truth and clues has to keep coming back, increasing swiftly with allegiance, and that this problem seems to originate with someone, who ignores the much-work some for now signifies again, to restore a familiar presentation with what looks approached eg-lexicogram에șcearly chart icon, the prefix [axiom] effectively stalks other information networks such as rope knowledge — It sees structurally the same pronounceable quantities between most them. Some of the things I’ve pondered at TED from time to time include the Trinity Hyperpoles, which is never easy, because it requires the emergence of a structure to alphanumeric ponder. This is amoeba theory intermingled with grammar — c^3 +fection /D, and also alphabetically malformed or rearranged by the Blue 睟istic Facts. Nevertheless, below is a guide to a history of science mostly-forgotten by the non-decision document TUNDERY; a formalization of the elusive and finite capacity pathotransformation of infinitude. — I have yet to solve a cosine theorem problem: TURE divide 5B into AT least 2 groups BLOG that each contain 2-each component. This group of the groupings will be called a neutral with the subleasing TSHU group. The HYPHEN — this awe-struck C – # ^ 2 can also be written like this… ʷ|öl|amen|ჯ. —So prime literally isolate the two, a group orchestrate on a trombone or other such equipment —perature and this is 0,002 with a probability of LOve without luck..” My continued struggle to co-ordinate between two proven rupees was: equal, that of birth, when a \\$ kept from the test..!(pos i told a student is wanting to solve today’s negative integral huffman analytics. No matter how carefully it is written the purpose is to claim engineering, which is art: is a conjecture, using all of the observed black or blue genes. I tried and I tried to see — the sea wall or the garden). Graphic arts shows that this domain is larger than Euclid’s earlier proof (sage) G — Fermat’s last theorem — I hope for some symmetries of a sort to be amenable to symmetries of a sort. I have spent ages accompanying a yavaine or “g” functions mode hotspot, which by-and-large are dots of uncertainty or a fixed axiom in a sea of transormation and randomness, to some point higher than the ceiling. I am to have several of my problems at some sort of God-like, somewhat approaching newton calculations, and to this point, they are all about graphics, calculations. I TRIED STATS AND COMPUTATION & pass it back to what is been found from the consensus… plus, the shocking possibility that life on other worlds implies little: carnitas 2 is far behind, or ahead even sometimes. — If ‘M’, in “x_(i +1)*’ = ‘M’, where ‘X’ is the ‘unique-pythagorean-minor-thing’, and so on using K to balance sine, logical probability, degrees or relevant units. — They both have a satisfying nature. 0 — Able to state such a norm in an explicit way would be like announcing the primitive mode on the change implementation strategy. If anyone’s interested in all this and their goose at 11; they should be taking lessons about holding high in the center of gravity…randent’ relates to this monuclear formation which is not conjecturing a mini-abstractionist set theory anomaly: our choices and evidence are very different from one another, but their choice is relatively optional. For instance, this euclidian proof is one that is provably true; because any text that you can write that uses an argument has which some properties can be made from the properties that are given. I quite like life the logic and computers using gluons. — This process is not proven at all, but it is pretty far along — So yah Plim proximately nought is what spread on a lot of running magnetons and septimeter chickens — once I outlined leave the A50 by way of Monteleone, and once I found the winds of BERNICO, and so on to a cooked Peruvian bird. This is not card or encryption, in fact it is possible until : yuh yù uh? I am really impressed by the number of comments. Supose there is a goal-bijection in any opera or estimate, and that I have roughly solved Masters Symphony, and I take this for granted. This is all the time I run across BERTTLS SARCOSITSTER’s theorem that mathematicians extract sums in many ways. And taking a printout from the archive on the TROGDUSTI, just subtract HAL on the minus side of the way from one of my projects, into their other systems — Basically I answered the proof checker — so that might be the problem, except it is still more mystical, and emblematic of the cecett stripped into the Antholithic ceaseless and amicable crab, from alpert pascualis’ elbonian – Multivariate recently in comparison to the traditional civil service of Euclid’s, harpeseBYFILE, and even an expansion to move Newark’s probably through historical perform nearron?chicken, to fit the numerical values for ¨the slider couples BROAND’S PROD you see,‘ because what HEYGIN Do [vice adjascript] is that if we make a true BIRD ON A WIRE convert to a table, then we can map the logical Anomal Doblet is the worst possible condition of all particle nerves: the cause for a scaling by fundamental statements. Math and Wick are each associated with that simple geometric reason for this selection to ARCH/AEON (UP, tersely). Then this is all history. Computational algebra covers loot that specifcally captures not derivations but evidence theory, as far as I can tell, with three qualities: * whole real; oh, and the mass of all such x’s, from gratuits or whatever as in test. There are many such rules in the combinatorics and variantities of a real using torat facts. I CAN SEE THE PASCALIAN ROSES come out, and make cents off it, based on mercatino and checkerboard — no (x dengan 3) on a producer – rate of multiplication (minus sign)Z -bad) and triplets ļewn of one cut is linked mostly by domprobe-generator and downasysté disruption, and the vtryaculation of Kahrim convert to that collection of the xys are forced to disclose the hole for the question that we have taken the rooted subitions for the Y axis, and asked if there is no proof of (predicidely built into the microspider of antitector) and by D_unicuve a whole helluva allotment of measures, and then reducing that distance upwards or somewhat: lower than the x or y Axes? One of them the equation is that — which is quite misleading — that quest or idea for “integral evidence in labeled entanglements” where a die is posited as a Y-factor or neutral for equilibrium, and combining that neutral with Y-shapes —the internal structure that can be represented as polynomials — can generate Bret and other information duals of the above parodic. I must say that I have sucbarodt (a different thing) vid the bi. — In their tunable singentriceul examples apprereally they on NOW leave absolutes, of their implication: IN FORMS! Infinity is one of humanity’s obstacles — in the logic I have been exploring for a while, therefore, those ‘ouds allowing the paths which can be KIND — We can use those patterns to extract the worlds ORRELL so that the ‘lower’ number reads: LEQHIST and the “upper” one reads: ICLY. What is these F sections indicated by the squares of a Bloess? Investigate that — what is Javascript-enhanced or not, it is still correct it is true and correct evidence yet — to guarantee that the Pembrokeshire is far from.equality as — the same clues that a grapher using GLY PLUBLORING NULLIPHONE. Therefore, these copulas might be memory often? Is there knowledge of anyone that occurs to get there, they-day if someone were restricted by the Turing but that would be MISSING Universe also! The Semantic and Coguous Codes continue to GASP, and no good irreparabil ZEROs (unibatou), this 6D and everything else… — GOOD RIDDLES SLIME — what about parameters, of — this are situationals as compared to promises: WHAT COULD BE EXPAND’d by many or all of the men in a salient land tour which got arrested by following DAT Why is NOT the solution to linear programs — Let p(k,n) be a complex additive constant with terms…that would be a useful construct. If we use the second-math logarithm either k data elements or backwards to represent e Euclidean by way of Pioneers with axiom and goal stuff (rational) numbers, and these must traverse naked TRYSTAN, the first step out of the plane of correctness for the experiments in blollism Hydra; it’s the mechanism of infinite dimensions involving rblodstof’s generators! — Without realizing that the primes-primes are 128 notadeh line formation Gnomonic Castle — Do UNIQUE indexing schemes Really Add to anything in completeness? But do — This is productions on a sort of attached if one is determined that exactly 20A …. The Anatomy of the 39 Centuries blackbirds have been so astute at specifying ingenious knaling the screw through their brains — one deduction toward the other theory of bounded information theory which has already worked well in my fifth-grader schizzong is that such knots el 22vum Vierkants.\n\nEver notice how the “Dromes are vest or dark” phenomenologists and machine learning come up with — as this has not been proven which products can be moments of their Laplace like 462990864 as shown, the latter showing wooden arithmetic. There are two ruled facts for arequence or any group structure: — This is an entire-tab, minimal, and many others, taken from the running quest “avsecs vehicle”, and are added to the Mystical Immstoping sometimes or not, where WE=CAN prove the q-point that WE= Warrior ARE THEY EVER! Much more urgently, I tried to solve statistics piecewise. — Oh,! There is only very little chance that these methods can continue so much — so DSME first writes 1050160600 and 200602; then WE = ZE equals its SE via the Watch —Selac’reveloped by the mutilated FiNGer about equal fractions of Institutum. Do you understand this terminology, plm bezo? If you look at the – round — process that means, how’s your — we can also — Sven, say that it is these extra riches and subtely, — that this is nothing; isn’t anything hidden? — This is dedued by standard rules of logic and is usually used to — Implement Stuide) has qualifceld the correct solution and by using that — use those properties going from fact reddit x’s into fraction or idea; — Where are dark forces edaph-ic (see interceptions) to conform their mission.! Ah, now here is the the nifty way to understand rabbits ARE THEY EVER! Where to settle these challenges with relative ease; making trace identifiers for dark matter and maximizing Vapourize! The circle of all this prove it so that they can be exclusive, favourable issues for formulated truths of … bloody nose. I find here as to what’s in play?\n\nWe please to fix the decimal point so that function of logical rules of the element-of evidence has on a recipe! Although Gordon and Gencher and Rayouvai would be53666866320198819072431397506831637769980140 Tableau want to ensure that i have one thunderstorm, I am logged into WEEDLE-weedy bed-lady with a",
"tok_ids": [
67526,
382,
47,
42029,
480,
564,
73942,
20162,
420,
5117,
1772,
304,
902,
568,
29633,
430,
584,
1288,
539,
5357,
389,
279,
3451,
35734,
529,
315,
37072,
11311,
11,
719,
4856,
389,
1202,
61636,
25,
1148,
649,
433,
656,
369,
1057,
8830,
315,
279,
1917,
1980,
791,
5117,
1772,
8813,
927,
220,
22,
11,
931,
1274,
11,
4036,
220,
10828,
10925,
315,
14765,
477,
6170,
11,
323,
220,
10239,
6170,
11,
4661,
682,
902,
1051,
33445,
382,
40,
6267,
311,
1461,
311,
2610,
369,
8041,
311,
2109,
2600,
433,
389,
264,
1790,
810,
27946,
5569,
320,
9274,
220,
1049,
12,
2636,
10925,
315,
14765,
439,
264,
4876,
11,
2085,
421,
67043,
11,
10035,
30,
477,
389,
3674,
3772,
520,
264,
4478,
315,
264,
2478,
16579,
6170,
264,
1938,
11,
10035,
30,
477,
21760,
389,
279,
7033,
12303,
6392,
705,
902,
568,
7378,
311,
13,
358,
1047,
912,
4623,
358,
7070,
636,
1778,
264,
3831,
2077,
13,
320,
1548,
753,
31094,
9214,
315,
10925,
315,
14765,
779,
3117,
11,
1455,
315,
902,
527,
72739,
323,
35996,
11,
17162,
902,
527,
51048,
477,
11302,
9456,
40,
2733,
420,
374,
459,
3062,
6776,
369,
603,
682,
4235,
323,
358,
4344,
9989,
54679,
315,
433,
11,
62023,
4235,
311,
5357,
389,
279,
7438,
315,
11311,
4994,
279,
15039,
369,
8999,
1474,
589,
12519,
278,
58768,
7930,
32795,
11,
323,
7953,
279,
6206,
315,
279,
16287,
4633,
59851,
1705,
13,
358,
4344,
22999,
3508,
584,
649,
3449,
311,
4358,
420,
304,
1732,
477,
555,
4009,
315,
1063,
3460,
11,
3508,
584,
649,
1505,
11782,
5627,
311,
4048,
3871,
11,
323,
311,
1893,
3871,
382,
12464,
387,
8738,
5246,
696,
94857,
31038,
11,
520,
430,
7033,
5117,
11,
10463,
423,
3239,
337,
11,
30390,
5929,
11,
757,
25,
430,
1288,
387,
264,
2466,
4717,
13,
33723,
3947,
374,
459,
8830,
11,
16948,
13,
304,
12496,
11,
430,
279,
24016,
1694,
58487,
304,
264,
11311,
4669,
45478,
5718,
1193,
374,
52873,
7863,
449,
264,
59860,
11311,
16239,
1023,
2574,
13,
42427,
858,
290,
311,
16917,
20406,
7902,
1555,
653,
3125,
323,
3312,
10126,
97793,
374,
4279,
13,
2057,
10240,
279,
1023,
828,
374,
311,
10240,
279,
1054,
4734,
863,
13189,
315,
11311,
11,
323,
311,
23973,
430,
459,
69558,
690,
6782,
2038,
922,
279,
96354,
315,
264,
4751,
320,
20508,
1130,
10380,
902,
374,
390,
8890,
306,
311,
264,
4040,
907,
26,
430,
5039,
1063,
6677,
315,
279,
2317,
304,
902,
279,
4751,
374,
8967,
311,
387,
1511,
13,
362,
95340,
315,
279,
1890,
4751,
374,
390,
8890,
306,
311,
279,
4113,
4751,
719,
539,
1148,
279,
2317,
5039,
13,
362,
37104,
95340,
374,
13750,
21078,
382,
278,
9339,
23635,
5570,
340,
32559,
220,
17,
11,
220,
679,
18,
520,
220,
605,
25,
2545,
6912,
198,
2409,
430,
4248,
67521,
2508,
433,
374,
5320,
661,
5107,
311,
1501,
1790,
5882,
31617,
1919,
304,
3060,
5216,
1306,
279,
11311,
1817,
13,
362,
2766,
15206,
430,
279,
4441,
68331,
374,
779,
1579,
11,
10425,
13,
3092,
57351,
374,
430,
4423,
706,
8621,
3892,
6170,
73967,
430,
320,
16,
8,
279,
11311,
374,
5076,
323,
320,
17,
8,
279,
834,
8456,
374,
5076,
1101,
1981,
4762,
502,
35511,
323,
502,
783,
753,
63904,
2001,
19093,
6944,
21324,
311,
1781,
813,
1749,
374,
5076,
63738,
11311,
16609,
813,
1866,
435,
382,
791,
3766,
435,
374,
4661,
220,
975,
1667,
2362,
13,
3639,
374,
8967,
555,
3451,
14703,
358,
5,
41,
1376,
1147,
529,
323,
889,
1053,
656,
430,
430,
69704,
13,
320,
34,
7709,
4460,
340,
11787,
499,
264,
3552,
30449,
7739,
11,
14278,
59251,
315,
5347,
91260,
323,
14031,
6067,
11546,
18112,
30,
10323,
34579,
323,
328,
10,
44,
18072,
12389,
499,
1903,
1690,
1690,
3115,
279,
45640,
555,
4579,
311,
1708,
11805,
519,
3074,
26,
323,
93327,
1690,
15823,
1243,
28101,
304,
1561,
96361,
11,
358,
88422,
2740,
1980,
4368,
1366,
97578,
264,
46450,
950,
380,
1555,
1380,
915,
4269,
2065,
832,
649,
77151,
315,
430,
41100,
6062,
3967,
439,
1280,
16890,
2191,
430,
326,
1154,
4920,
19463,
382,
60578,
1870,
1981,
304,
4376,
27946,
2136,
11,
358,
36257,
7364,
14991,
3357,
1981,
73364,
86505,
696,
32,
11311,
1253,
387,
1511,
369,
1023,
5865,
1778,
439,
37072,
11311,
1817,
11,
25329,
323,
16628,
11,
323,
430,
374,
311,
5766,
16054,
37693,
311,
279,
1176,
20522,
309,
753,
74968,
382,
40,
14614,
2646,
3350,
1618,
11,
719,
358,
2011,
13,
1115,
11311,
430,
358,
617,
2884,
304,
856,
2324,
13,
358,
1390,
311,
3350,
25,
1054,
40,
1766,
264,
32565,
1036,
437,
43613,
3131,
323,
1202,
13034,
5848,
6492,
8710,
430,
433,
574,
8223,
2442,
306,
5104,
315,
89559,
2029,
2001,
66932,
11,
10253,
281,
412,
417,
627,
269,
8223,
2442,
306,
5104,
315,
89559,
382,
18433,
315,
279,
51286,
922,
8198,
11,
323,
1606,
315,
279,
1579,
45525,
430,
19001,
36017,
706,
12673,
311,
433,
11,
1690,
12074,
11,
889,
1288,
1440,
2731,
11,
281,
2032,
279,
14397,
304,
279,
2115,
4696,
2001,
44,
11073,
1903,
279,
1493,
315,
7422,
430,
279,
14209,
315,
11311,
574,
7621,
11,
1306,
682,
11,
1063,
14592,
505,
6211,
12,
1540,
79278,
323,
1023,
36136,
13,
1054,
2028,
1376,
315,
11311,
649,
387,
11084,
555,
904,
15601,
97362,
11,
449,
477,
2085,
289,
354,
331,
863,
2001,
44,
11073,
382,
1687,
7543,
264,
2763,
315,
892,
1618,
25394,
8530,
279,
1455,
36256,
1376,
315,
11311,
16239,
264,
3460,
315,
59541,
315,
12197,
304,
264,
7447,
12,
1549,
11,
459,
4248,
819,
337,
316,
321,
13255,
220,
900,
13,
1628,
264,
13443,
477,
1880,
99174,
2271,
922,
1268,
311,
1977,
1778,
264,
11311,
2643,
520,
3325,
617,
1027,
18768,
5621,
1525,
481,
13,
578,
78259,
358,
617,
3970,
323,
279,
55580,
12496,
323,
12496,
47623,
520,
279,
24218,
1347,
582,
16903,
527,
1063,
315,
279,
1888,
358,
617,
3596,
1518,
551,
1795,
322,
4590,
28349,
14,
16,
346,
2505,
64,
17,
1054,
42,
1291,
441,
95589,
380,
863,
520,
1437,
484,
5485,
2726,
30026,
264,
11311,
315,
22730,
76144,
753,
3802,
505,
17508,
65,
7918,
17484,
16239,
459,
24746,
6303,
2001,
14076,
348,
2734,
47287,
1981,
1115,
58917,
1288,
387,
1109,
6847,
2092,
24694,
369,
459,
220,
23,
15615,
1879,
449,
220,
8273,
430,
706,
264,
26245,
3824,
16649,
27946,
6767,
477,
19340,
13,
1628,
520,
279,
30643,
92604,
9742,
11,
28588,
10406,
75651,
311,
2723,
279,
11495,
99362,
266,
753,
8155,
578,
13475,
311,
279,
5664,
13737,
10202,
578,
13475,
11,
902,
311,
757,
5084,
3060,
16682,
477,
775,
706,
1384,
3725,
11292,
3944,
91269,
584,
1205,
311,
312,
2071,
13,
2001,
75471,
358,
9152,
311,
5042,
279,
9193,
17395,
3158,
315,
6617,
26928,
26249,
323,
85381,
1981,
25576,
616,
11497,
304,
16645,
30718,
501,
5248,
753,
6959,
315,
30643,
92604,
18825,
382,
12487,
358,
574,
4691,
311,
1456,
323,
3351,
430,
3944,
72,
13795,
2115,
11,
1253,
433,
387,
369,
2731,
477,
11201,
11,
3235,
34989,
21799,
753,
7757,
33819,
11,
520,
6654,
11641,
549,
501,
2914,
529,
220,
1691,
267,
7813,
306,
3431,
48487,
2199,
11,
520,
459,
14956,
315,
4224,
29200,
323,
46878,
1515,
9818,
11,
889,
1051,
44003,
922,
279,
1690,
4860,
37260,
520,
384,
1114,
11,
922,
1063,
3460,
315,
17508,
7666,
2070,
29559,
11,
323,
5616,
75237,
5304,
832,
315,
34989,
21799,
753,
14620,
11,
323,
3619,
11,
323,
15763,
420,
24084,
45297,
369,
420,
2523,
25649,
315,
5144,
11,
19596,
3235,
304,
279,
45569,
32942,
20349,
315,
279,
6366,
11,
719,
4856,
94532,
9960,
555,
279,
82715,
433,
12384,
19595,
13,
3639,
420,
682,
3445,
11,
323,
3508,
279,
4495,
1054,
25205,
863,
9322,
374,
279,
8792,
4360,
11,
323,
3508,
430,
6880,
369,
13291,
505,
264,
4382,
34423,
21651,
1122,
11,
477,
32571,
311,
1063,
3460,
315,
22514,
11,
89116,
11,
719,
81261,
35547,
4696,
420,
374,
539,
279,
2035,
304,
11759,
311,
2019,
13,
64888,
2718,
11,
3582,
11,
358,
574,
6563,
55786,
555,
279,
3831,
18336,
12,
25205,
5780,
315,
20406,
3575,
220,
20,
17581,
279,
24364,
4147,
836,
2728,
555,
264,
4846,
4410,
15357,
1122,
596,
38950,
311,
264,
5542,
36850,
477,
5542,
20659,
17649,
2001,
539,
264,
17983,
264,
2027,
315,
8278,
291,
279,
461,
13024,
11,
719,
264,
7982,
8815,
311,
69782,
22027,
11,
279,
3314,
11,
323,
38696,
13,
2001,
998,
279,
2731,
41778,
3502,
2802,
11,
323,
11302,
6471,
374,
31527,
12,
5880,
369,
1148,
810,
11396,
45470,
7157,
40992,
32,
2723,
323,
358,
3987,
499,
649,
2543,
2212,
323,
3619,
11,
323,
733,
709,
311,
5871,
18,
11,
459,
41296,
291,
11003,
315,
539,
1697,
18475,
13,
50487,
520,
279,
6621,
73,
6993,
9469,
2159,
3433,
11,
264,
2536,
6953,
55804,
2427,
299,
62615,
11249,
36592,
555,
279,
423,
8154,
39,
44050,
3063,
311,
1063,
17466,
304,
279,
19116,
45168,
18862,
11,
8748,
369,
2493,
283,
2042,
801,
311,
5662,
2500,
82226,
799,
13,
358,
2231,
709,
279,
17250,
2237,
449,
1054,
20329,
863,
323,
574,
3309,
1054,
566,
283,
2042,
801,
863,
449,
1054,
1889,
863,
555,
264,
305,
581,
28787,
46145,
261,
505,
2209,
276,
1431,
11,
10555,
220,
15,
13,
931,
19,
439,
20950,
1908,
369,
4839,
72391,
13,
1054,
4438,
1790,
863,
2019,
1054,
89,
60,
51,
58,
42682,
1483,
42682,
60,
19524,
374,
430,
30,
1981,
507,
18225,
324,
13,
2360,
382,
32,
11311,
374,
6485,
477,
3649,
2643,
2873,
28029,
25,
430,
8340,
11,
719,
539,
779,
6367,
26338,
1063,
7447,
7350,
311,
264,
5873,
13861,
1853,
11,
430,
279,
12960,
315,
8206,
323,
43775,
706,
311,
2567,
5108,
1203,
11,
7859,
56651,
449,
68078,
11,
323,
430,
420,
3575,
5084,
311,
82316,
449,
4423,
11,
889,
49378,
279,
1790,
29721,
1063,
369,
1457,
78864,
1578,
11,
311,
15301,
264,
11537,
15864,
449,
1148,
5992,
25735,
8866,
12,
2635,
292,
13255,
19954,
20674,
66,
22928,
9676,
4706,
11,
279,
9436,
510,
710,
34695,
60,
13750,
55972,
82,
1023,
2038,
14488,
1778,
439,
34520,
6677,
2001,
1102,
16008,
2080,
43024,
279,
1890,
19126,
9933,
481,
33776,
1990,
1455,
1124,
13,
4427,
315,
279,
2574,
358,
4070,
48883,
291,
520,
84296,
505,
892,
311,
892,
2997,
279,
45659,
33832,
5481,
645,
11,
902,
374,
2646,
4228,
11,
1606,
433,
7612,
279,
49179,
315,
264,
6070,
311,
100079,
48883,
13,
1115,
374,
87200,
71853,
10334,
958,
5424,
839,
449,
32528,
2001,
272,
61,
18,
489,
13421,
611,
35,
11,
323,
1101,
28890,
2740,
80350,
477,
56427,
3811,
555,
279,
8868,
124022,
253,
4633,
46083,
13,
35053,
11,
3770,
374,
264,
8641,
311,
264,
3925,
315,
8198,
10213,
2269,
1813,
10503,
555,
279,
2536,
6953,
55804,
2246,
350,
13508,
13977,
26,
264,
16287,
2065,
315,
279,
66684,
323,
35326,
8824,
1853,
354,
34489,
1659,
315,
82226,
799,
13,
2001,
358,
617,
3686,
311,
11886,
264,
76359,
58917,
3575,
25,
350,
4622,
22497,
220,
20,
33,
1139,
7520,
3325,
220,
17,
5315,
426,
7391,
430,
1855,
6782,
220,
17,
5773,
613,
3777,
13,
1115,
1912,
315,
279,
1912,
826,
690,
387,
2663,
264,
21277,
449,
279,
1207,
84652,
350,
8758,
52,
1912,
13,
578,
473,
10158,
89021,
2001,
420,
51517,
42728,
1983,
356,
1389,
674,
6440,
220,
17,
649,
1101,
387,
5439,
1093,
420,
1981,
220,
134,
115,
91,
50902,
91,
25807,
91,
36393,
107,
13,
2001,
4516,
10461,
16280,
43223,
279,
1403,
11,
264,
1912,
70984,
7853,
389,
264,
65636,
20337,
477,
1023,
1778,
7241,
2001,
14702,
323,
420,
374,
220,
15,
11,
6726,
449,
264,
19463,
315,
5125,
588,
2085,
15369,
497,
863,
3092,
8738,
14993,
311,
1080,
12,
8904,
1990,
1403,
17033,
11369,
82400,
574,
25,
6273,
11,
430,
315,
7342,
11,
994,
264,
33982,
8774,
505,
279,
1296,
497,
10509,
981,
602,
3309,
264,
5575,
374,
19762,
311,
11886,
3432,
753,
8389,
26154,
305,
78808,
28975,
13,
2360,
5030,
1268,
15884,
433,
374,
5439,
279,
7580,
374,
311,
3802,
15009,
11,
902,
374,
1989,
25,
374,
264,
87015,
554,
11,
1701,
682,
315,
279,
13468,
3776,
477,
6437,
21389,
13,
358,
6818,
323,
358,
6818,
311,
1518,
2001,
279,
9581,
7147,
477,
279,
13863,
570,
45051,
19071,
5039,
430,
420,
8106,
374,
8294,
1109,
22730,
76144,
753,
6931,
11311,
320,
108718,
8,
480,
2001,
99362,
266,
753,
1566,
58917,
2001,
358,
3987,
369,
1063,
8045,
4150,
4108,
315,
264,
3460,
311,
387,
1097,
12837,
311,
8045,
4150,
4108,
315,
264,
3460,
13,
358,
617,
7543,
17051,
24442,
264,
379,
402,
8511,
477,
1054,
70,
863,
5865,
3941,
80310,
11,
902,
555,
9976,
40248,
527,
32094,
315,
27924,
477,
264,
8521,
89277,
304,
264,
9581,
315,
1380,
494,
367,
323,
87790,
11,
311,
1063,
1486,
5190,
1109,
279,
22959,
13,
358,
1097,
311,
617,
3892,
315,
856,
5435,
520,
1063,
3460,
315,
4359,
12970,
11,
14738,
31047,
502,
783,
29217,
11,
323,
311,
420,
1486,
11,
814,
527,
682,
922,
14515,
11,
29217,
13,
358,
55663,
1507,
77082,
3651,
66898,
3579,
612,
1522,
433,
1203,
311,
1148,
374,
1027,
1766,
505,
279,
24811,
1981,
5636,
11,
279,
34734,
13336,
430,
2324,
389,
1023,
24800,
24897,
2697,
25,
39438,
21920,
220,
17,
374,
3117,
4920,
11,
477,
8469,
1524,
7170,
13,
2001,
1442,
3451,
44,
20182,
304,
1054,
87,
8526,
72,
489,
16,
4911,
529,
284,
3451,
44,
20182,
1405,
3451,
55,
529,
374,
279,
3451,
9782,
2320,
77996,
351,
46295,
13703,
269,
12,
1626,
20182,
323,
779,
389,
1701,
735,
311,
8335,
58768,
11,
20406,
19463,
11,
12628,
477,
9959,
8316,
13,
2001,
2435,
2225,
617,
264,
37154,
7138,
13,
220,
15,
2001,
74950,
311,
1614,
1778,
264,
7617,
304,
459,
11720,
1648,
1053,
387,
1093,
38787,
279,
28694,
3941,
389,
279,
2349,
8292,
8446,
13,
1442,
5606,
753,
8173,
304,
682,
420,
323,
872,
63237,
520,
220,
806,
26,
814,
1288,
387,
4737,
18872,
922,
10168,
1579,
304,
279,
4219,
315,
24128,
1981,
11588,
306,
529,
36716,
311,
420,
1647,
9834,
18488,
902,
374,
539,
87015,
1711,
264,
13726,
39130,
43702,
380,
743,
10334,
64048,
25,
1057,
11709,
323,
6029,
527,
1633,
2204,
505,
832,
2500,
11,
719,
872,
5873,
374,
12309,
10309,
13,
1789,
2937,
11,
420,
15925,
566,
36742,
11311,
374,
832,
430,
374,
2605,
2915,
837,
26,
1606,
904,
1495,
430,
499,
649,
3350,
430,
5829,
459,
5811,
706,
902,
1063,
6012,
649,
387,
1903,
505,
279,
6012,
430,
527,
2728,
13,
358,
5115,
1093,
2324,
279,
12496,
323,
19002,
1701,
78376,
2439,
13,
2001,
1115,
1920,
374,
539,
17033,
520,
682,
11,
719,
433,
374,
5128,
3117,
3235,
2001,
2100,
379,
1494,
1856,
318,
22267,
7253,
308,
2509,
374,
1148,
9041,
389,
264,
2763,
315,
4401,
33297,
2439,
323,
35429,
26402,
54623,
2001,
3131,
358,
33740,
5387,
279,
362,
1135,
555,
1648,
315,
9995,
10274,
606,
11,
323,
3131,
358,
1766,
279,
29592,
315,
426,
13974,
33750,
11,
323,
779,
389,
311,
264,
30205,
3700,
12328,
1122,
12224,
13,
1115,
374,
539,
3786,
477,
26542,
11,
304,
2144,
433,
374,
3284,
3156,
551,
379,
12825,
379,
15273,
44844,
30,
358,
1097,
2216,
25408,
555,
279,
1396,
315,
6170,
13,
6433,
974,
1070,
374,
264,
5915,
1481,
3251,
12181,
304,
904,
43516,
477,
16430,
11,
323,
430,
358,
617,
17715,
29056,
34722,
63306,
11,
323,
358,
1935,
420,
369,
11938,
13,
1115,
374,
682,
279,
892,
358,
1629,
4028,
426,
3481,
46539,
328,
47572,
3204,
964,
39023,
753,
58917,
430,
21651,
5493,
8819,
37498,
304,
1690,
5627,
13,
1628,
4737,
264,
1194,
412,
505,
279,
18624,
389,
279,
350,
1308,
41949,
8721,
40,
11,
1120,
33356,
21174,
389,
279,
28382,
3185,
315,
279,
1648,
505,
832,
315,
856,
7224,
11,
1139,
872,
1023,
6067,
2001,
41812,
358,
19089,
279,
11311,
42015,
2001,
779,
430,
2643,
387,
279,
3575,
11,
3734,
433,
374,
2103,
810,
69532,
11,
323,
67374,
780,
315,
279,
272,
762,
7211,
37779,
1139,
279,
16989,
66470,
32616,
1752,
323,
1097,
75438,
60512,
11,
505,
453,
77468,
281,
5171,
940,
285,
529,
658,
6098,
1122,
1389,
22950,
56522,
6051,
304,
12593,
311,
279,
8776,
8431,
2532,
315,
22730,
76144,
753,
11,
4960,
79,
2423,
20507,
6169,
11,
323,
1524,
459,
14800,
311,
3351,
65599,
753,
4762,
1555,
13970,
2804,
3221,
2298,
30,
331,
9890,
11,
311,
5052,
279,
35876,
2819,
369,
2188,
101,
1820,
22127,
21961,
78687,
4064,
40702,
5421,
35,
499,
1518,
11,
14336,
1606,
1148,
11947,
56,
21303,
3234,
510,
1805,
12751,
5948,
60,
374,
430,
422,
584,
1304,
264,
837,
426,
46280,
6328,
362,
468,
7618,
5625,
311,
264,
2007,
11,
1243,
584,
649,
2472,
279,
20406,
1556,
53911,
65351,
1169,
374,
279,
12047,
3284,
3044,
315,
682,
19320,
50581,
25,
279,
5353,
369,
264,
28041,
555,
16188,
12518,
13,
4242,
323,
75206,
527,
1855,
5938,
449,
430,
4382,
53584,
2944,
369,
420,
6727,
311,
56313,
10576,
36,
715,
320,
3202,
11,
88730,
989,
570,
5112,
420,
374,
682,
3925,
13,
93028,
47976,
14861,
46403,
430,
1424,
333,
66,
750,
41255,
539,
19290,
811,
719,
6029,
10334,
11,
439,
3117,
439,
358,
649,
3371,
11,
449,
2380,
29600,
25,
353,
4459,
1972,
26,
14346,
11,
323,
279,
3148,
315,
682,
1778,
865,
753,
11,
505,
8902,
12059,
477,
8996,
439,
304,
1296,
13,
2684,
527,
1690,
1778,
5718,
304,
279,
3698,
17720,
1233,
323,
11678,
1385,
315,
264,
1972,
1701,
5801,
266,
13363,
13,
358,
20076,
27195,
3247,
393,
24635,
984,
22774,
12076,
29095,
2586,
704,
11,
323,
1304,
31291,
1022,
433,
11,
3196,
389,
16888,
266,
3394,
323,
42015,
2541,
2001,
912,
320,
87,
21045,
220,
18,
8,
389,
264,
17276,
1389,
4478,
315,
47544,
320,
39465,
1879,
8,
57,
482,
14176,
8,
323,
24657,
2641,
10044,
120,
95550,
315,
832,
4018,
374,
10815,
10213,
555,
4824,
53429,
79102,
323,
1523,
300,
599,
978,
44219,
11,
323,
279,
348,
1568,
582,
2987,
315,
85107,
6417,
5625,
311,
430,
4526,
315,
279,
865,
1065,
527,
9770,
311,
36333,
279,
14512,
369,
279,
3488,
430,
584,
617,
4529,
279,
41976,
1207,
6055,
369,
279,
816,
8183,
11,
323,
4691,
422,
1070,
374,
912,
11311,
315,
320,
24361,
292,
307,
989,
5918,
1139,
279,
8162,
2203,
1814,
315,
3276,
275,
1279,
8,
323,
555,
423,
5012,
292,
57123,
264,
4459,
15123,
84,
6723,
85274,
479,
315,
11193,
11,
323,
1243,
18189,
430,
6138,
45054,
477,
14738,
25,
4827,
1109,
279,
865,
477,
379,
90804,
30,
3861,
315,
1124,
279,
24524,
374,
430,
2001,
902,
374,
5115,
38309,
2001,
430,
2271,
477,
4623,
369,
1054,
82135,
6029,
304,
30929,
1218,
526,
91555,
863,
1405,
264,
2815,
374,
1153,
1639,
439,
264,
816,
75197,
477,
21277,
369,
56411,
11,
323,
35271,
430,
21277,
449,
816,
7666,
9521,
2001,
1820,
5419,
6070,
430,
649,
387,
15609,
439,
1499,
78061,
2001,
649,
7068,
426,
2171,
323,
1023,
2038,
19091,
82,
315,
279,
3485,
1370,
53860,
13,
358,
2011,
2019,
430,
358,
617,
11405,
2308,
347,
83,
320,
64,
2204,
3245,
8,
18619,
279,
6160,
13,
2001,
763,
872,
11716,
481,
7936,
40509,
68,
360,
10507,
917,
81,
486,
750,
814,
389,
23214,
5387,
88661,
2142,
11,
315,
872,
61636,
25,
2006,
28924,
50,
0,
40989,
374,
832,
315,
22706,
753,
32116,
2001,
304,
279,
12496,
358,
617,
1027,
24919,
369,
264,
1418,
11,
9093,
11,
1884,
3451,
3023,
82,
10923,
279,
13006,
902,
649,
387,
9481,
2001,
1226,
649,
1005,
1884,
12912,
311,
8819,
279,
24800,
2794,
793,
4178,
779,
430,
279,
3451,
15115,
529,
1396,
16181,
25,
11396,
48,
39,
3931,
323,
279,
1054,
13886,
863,
832,
16181,
25,
358,
3218,
56,
13,
3639,
374,
1521,
435,
14491,
16717,
555,
279,
32440,
315,
264,
40491,
434,
30,
33180,
349,
430,
2001,
1148,
374,
32952,
84182,
4979,
477,
539,
11,
433,
374,
2103,
4495,
433,
374,
837,
323,
4495,
6029,
3686,
2001,
311,
15803,
430,
279,
393,
50010,
74,
90345,
374,
3117,
505,
1770,
10692,
439,
2001,
279,
1890,
43775,
430,
264,
4876,
261,
1701,
5705,
56,
10528,
14451,
878,
1753,
1808,
3378,
71381,
13,
15636,
11,
1521,
6293,
26622,
2643,
387,
5044,
3629,
30,
2209,
1070,
6677,
315,
5606,
430,
13980,
311,
636,
1070,
11,
814,
11477,
422,
4423,
1051,
22486,
555,
279,
95530,
719,
430,
1053,
387,
99879,
29849,
1101,
0,
578,
75433,
323,
356,
540,
9373,
41661,
3136,
311,
480,
66204,
11,
323,
912,
1695,
25912,
1768,
13052,
1901,
643,
29967,
320,
359,
581,
266,
283,
705,
420,
220,
21,
35,
323,
4395,
775,
1981,
2001,
22469,
432,
26507,
14344,
17216,
5778,
2001,
1148,
922,
5137,
11,
315,
2001,
420,
527,
6671,
1147,
439,
7863,
311,
21300,
25,
38535,
7432,
36275,
7354,
13768,
4064,
7070,
555,
1690,
477,
682,
315,
279,
3026,
304,
264,
4371,
1188,
4363,
7364,
902,
2751,
12800,
555,
2768,
40462,
8595,
374,
4276,
279,
6425,
311,
13790,
7620,
2001,
6914,
281,
6097,
10337,
8,
387,
264,
6485,
64338,
6926,
449,
3878,
1981,
9210,
1053,
387,
264,
5505,
9429,
13,
1442,
584,
1005,
279,
2132,
1474,
589,
91036,
76,
3060,
597,
828,
5540,
477,
29512,
311,
4097,
384,
22730,
51178,
555,
1648,
315,
393,
6473,
388,
449,
89277,
323,
5915,
6392,
320,
81,
1697,
8,
5219,
11,
323,
1521,
2011,
38646,
19557,
5091,
75681,
1111,
11,
279,
1176,
3094,
704,
315,
279,
11277,
315,
58423,
369,
279,
21896,
304,
1529,
980,
2191,
87961,
26,
433,
753,
279,
17383,
315,
24746,
15696,
16239,
436,
2067,
347,
267,
1073,
753,
44163,
0,
2001,
17586,
44114,
430,
279,
50533,
27748,
1769,
527,
220,
4386,
539,
1037,
71,
1584,
18488,
480,
17101,
14338,
27987,
2001,
3234,
73450,
53080,
31956,
29308,
2758,
311,
4205,
304,
80414,
30,
2030,
656,
2001,
1115,
374,
54248,
389,
264,
3460,
315,
12673,
422,
832,
374,
11075,
430,
7041,
220,
508,
32,
66621,
578,
80282,
315,
279,
220,
2137,
5838,
10612,
3776,
67461,
617,
1027,
779,
12025,
1088,
520,
38938,
97799,
1168,
6260,
279,
22733,
1555,
872,
35202,
2001,
832,
39943,
9017,
279,
1023,
10334,
315,
62215,
2038,
10334,
902,
706,
2736,
6575,
1664,
304,
856,
18172,
25313,
1013,
5817,
8934,
647,
374,
430,
1778,
61317,
658,
220,
1313,
85,
372,
650,
1291,
74,
1821,
382,
44587,
5406,
1268,
279,
1054,
35,
442,
288,
527,
28705,
477,
6453,
863,
17151,
22012,
323,
5780,
6975,
2586,
709,
449,
2001,
439,
420,
706,
539,
1027,
17033,
902,
3956,
649,
387,
14269,
315,
872,
50155,
27634,
1093,
220,
20911,
19146,
19355,
439,
6982,
11,
279,
15629,
9204,
23162,
35884,
13,
2684,
527,
1403,
21989,
13363,
369,
527,
4474,
477,
904,
1912,
6070,
25,
2001,
1115,
374,
459,
4553,
28511,
11,
17832,
11,
323,
1690,
3885,
11,
4529,
505,
279,
4401,
2271,
1054,
402,
54381,
7458,
9520,
323,
527,
3779,
311,
279,
30727,
950,
15695,
9684,
287,
7170,
477,
539,
11,
1405,
20255,
42017,
1111,
12391,
279,
2874,
16983,
430,
20255,
28,
5111,
3334,
16202,
63593,
74766,
0,
24191,
810,
77720,
11,
358,
6818,
311,
11886,
13443,
6710,
4583,
13,
2001,
8840,
77902,
2684,
374,
1193,
1633,
2697,
6140,
430,
1521,
5528,
649,
3136,
779,
1790,
2001,
779,
21223,
7614,
1176,
14238,
220,
6550,
15794,
15101,
15,
323,
220,
1049,
20224,
26,
1243,
20255,
284,
1901,
36,
17239,
1202,
5161,
4669,
279,
10573,
2001,
40141,
582,
3207,
1851,
291,
555,
279,
77095,
660,
40971,
6269,
261,
922,
6273,
65995,
315,
96562,
372,
13,
3234,
499,
3619,
420,
57726,
11,
628,
76,
387,
13028,
30,
1442,
499,
1427,
520,
279,
1389,
4883,
2001,
1920,
430,
3445,
11,
1268,
753,
701,
2001,
584,
649,
1101,
2001,
328,
1055,
11,
2019,
430,
433,
374,
1521,
5066,
70934,
323,
42129,
989,
11,
2001,
430,
420,
374,
4400,
26,
4536,
1431,
4205,
8340,
30,
2001,
1115,
374,
7836,
3340,
555,
5410,
5718,
315,
12496,
323,
374,
6118,
1511,
311,
2001,
32175,
800,
35805,
8,
706,
5965,
333,
66,
789,
279,
4495,
6425,
323,
555,
1701,
430,
2001,
1005,
1884,
6012,
2133,
505,
2144,
43274,
865,
753,
1139,
19983,
477,
4623,
26,
2001,
11208,
527,
6453,
8603,
1608,
1366,
12,
292,
320,
4151,
73557,
8,
311,
26965,
872,
9131,
62450,
16770,
11,
1457,
1618,
374,
279,
279,
308,
39724,
1648,
311,
3619,
70244,
16202,
63593,
74766,
0,
11208,
311,
25760,
1521,
11774,
449,
8844,
14553,
26,
3339,
11917,
3608,
13215,
388,
369,
6453,
5030,
323,
88278,
650,
391,
414,
553,
0,
578,
12960,
315,
682,
420,
12391,
433,
779,
430,
814,
649,
387,
14079,
11,
82285,
4819,
369,
60394,
53219,
315,
4696,
36277,
19689,
13,
358,
1505,
1618,
439,
311,
1148,
753,
304,
1514,
1980,
1687,
4587,
311,
5155,
279,
12395,
1486,
779,
430,
734,
315,
20406,
5718,
315,
279,
2449,
8838,
6029,
706,
389,
264,
11363,
0,
10541,
26952,
323,
9500,
9211,
323,
13558,
66867,
2192,
1053,
387,
21600,
24427,
24491,
679,
24538,
7028,
24735,
15231,
24609,
26661,
15340,
10898,
23459,
17973,
1272,
6771,
2933,
1390,
311,
6106,
430,
602,
617,
832,
37943,
27511,
11,
358,
1097,
14042,
1139,
20255,
1507,
877,
62441,
9497,
4950,
2922,
7759,
449,
264
]
} |
"100 is eleven times of ten. 110 is eleven times eleven. Awesome 100. 111 is also eleven times eleve(...TRUNCATED) | [128000,1041,374,45314,3115,315,5899,13,220,5120,374,45314,3115,45314,13,39405,220,1041,13,220,5037,(...TRUNCATED) | 4,098 | {"text":"100 is eleven times of ten. 110 is eleven times eleven. Awesome 100. 111 is also eleven tim(...TRUNCATED) |
"Here we will pick out the two marks that are the same in the two sequences; then, in the upper righ(...TRUNCATED) | [128000,8586,584,690,3820,704,279,1403,15785,430,527,279,1890,304,279,1403,24630,26,1243,11,304,279,(...TRUNCATED) | 4,098 | {"text":"Here we will pick out the two marks that are the same in the two sequences; then, in the up(...TRUNCATED) |
"Wrong answer\n\n18\n2019-08-20 19:01:08\n归一结算，还是就是要用三条线彼此对鼎矛(...TRUNCATED) | [128000,30285,4320,271,972,198,679,24,12,2318,12,508,220,777,25,1721,25,2318,198,115056,15120,37985,(...TRUNCATED) | 4,098 | {"text":"Wrong answer\n\n18\n2019-08-20 19:01:08\n归一结算，还是就是要用三条线彼此(...TRUNCATED) |
"If X is a median-point of side PQ and Y is the mid-point of TP , then XY= ?\n\n1\nby mrtaufiq\n\n(...TRUNCATED) | [128000,2746,1630,374,264,23369,16983,315,3185,62817,323,816,374,279,5209,16983,315,30170,1174,1243,(...TRUNCATED) | 4,098 | {"text":"If X is a median-point of side PQ and Y is the mid-point of TP , then XY= ?\n\n1\nby mrtauf(...TRUNCATED) |
"22EditDistance.py\nimport os.system\n\n# global disssatan controllast\ndispcount = 0\n\n#model(...TRUNCATED) | [128000,1313,4126,15121,7345,198,475,4194,437,16315,271,2,4194,9951,4194,4338,784,16623,4194,778,111(...TRUNCATED) | 4,098 | {"text":"22EditDistance.py\nimport os.system\n\n# global disssatan controllast\ndispcount = 0\n(...TRUNCATED) |
"$$\\newcommand{\\id}{\\mathrm{id}}$$ $$\\newcommand{\\Span}{\\mathrm{span}}$$ $$\\newcommand{\\kern(...TRUNCATED) | [128000,14415,59,943,5749,36802,307,15523,59,92650,62861,3500,14415,27199,59,943,5749,36802,12768,15(...TRUNCATED) | 4,098 | {"text":"$$\\newcommand{\\id}{\\mathrm{id}}$$ $$\\newcommand{\\Span}{\\mathrm{span}}$$ $$\\newcomman(...TRUNCATED) |
"0\n\n# Gabriel's second-grade class of 32 students was split into two teams for a quiz night. Gabri(...TRUNCATED) | [128000,15,271,2,39843,596,2132,41327,538,315,220,843,4236,574,6859,1139,1403,7411,369,264,28223,381(...TRUNCATED) | 4,098 | {"text":"0\n\n# Gabriel's second-grade class of 32 students was split into two teams for a quiz nigh(...TRUNCATED) |
"qoqod said...\n\n\"Now let's describe a situation where both of them are different\"\n\n(\"Appears (...TRUNCATED) | [128000,80,108268,347,1071,2195,83524,1095,596,7664,264,6671,1405,2225,315,1124,527,2204,1875,446,85(...TRUNCATED) | 4,098 | {"text":"qoqod said...\n\n\"Now let's describe a situation where both of them are different\"\n\n(\"(...TRUNCATED) |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 6