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authorAndrew Waterman <waterman@cs.berkeley.edu>2016-05-04 00:56:42 -0700
committerAndrew Waterman <waterman@cs.berkeley.edu>2016-05-04 00:56:58 -0700
commitaf7b8f8e8c41f0d1f887ee72427e3bf37abc38c1 (patch)
tree5cf39eec8d38640a8e026e3077f59360163fb886
parent6ce623a7b9c37d70772d03529cd80c7952ef6ccf (diff)
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Speed up benchmarks that take a long time to run
Diffstat
-rw-r--r--benchmarks/mm/gen.scala2
-rw-r--r--benchmarks/mm/mm_main.c2
-rw-r--r--benchmarks/mm/rb.h4
-rw-r--r--benchmarks/mt-matmul/matmul.c29
-rw-r--r--benchmarks/mt-matmul/mt-matmul.c3
-rw-r--r--benchmarks/spmv/dataset1.h32628
6 files changed, 10579 insertions, 22089 deletions
diff --git a/benchmarks/mm/gen.scala b/benchmarks/mm/gen.scala
index 38d9e6b..982daa8 100644
--- a/benchmarks/mm/gen.scala
+++ b/benchmarks/mm/gen.scala
@@ -74,7 +74,7 @@ object MMGen {
("cp a.out " + Seq("b", m, n, p, m1, n1, p1, "run").reduce(_+"."+_))!
}
def main(args: Array[String]): Unit = {
- test1(4, 5, 6, 36, 35, 36)
+ test1(4, 5, 6, 24, 25, 24)
//for (i <- 4 to 6; j <- 4 to 6; k <- 4 to 6)
// test1(i, j, k, if (i == 5) 35 else 36, if (j == 5) 35 else 36, if (k == 5) 35 else 36)
}
diff --git a/benchmarks/mm/mm_main.c b/benchmarks/mm/mm_main.c
index 4d08b15..133b5a2 100644
--- a/benchmarks/mm/mm_main.c
+++ b/benchmarks/mm/mm_main.c
@@ -6,6 +6,8 @@
#include <stdio.h>
#include "util.h"
+#pragma GCC optimize ("unroll-loops")
+
void thread_entry(int cid, int nc)
{
const int R = 8;
diff --git a/benchmarks/mm/rb.h b/benchmarks/mm/rb.h
index 593b54f..421c964 100644
--- a/benchmarks/mm/rb.h
+++ b/benchmarks/mm/rb.h
@@ -1,7 +1,5 @@
-// See LICENSE for license details.
-
static const int RBM = 4, RBN = 5, RBK = 6;
-static const int CBM = 36, CBN = 35, CBK = 36;
+static const int CBM = 24, CBN = 25, CBK = 24;
static inline void kloop(size_t p, t* a0, size_t lda, t* b0, size_t ldb, t* c, size_t ldc)
{
t* c_0 = &c[ldc*0];
diff --git a/benchmarks/mt-matmul/matmul.c b/benchmarks/mt-matmul/matmul.c
index 7c23309..6d7b978 100644
--- a/benchmarks/mt-matmul/matmul.c
+++ b/benchmarks/mt-matmul/matmul.c
@@ -2,21 +2,22 @@
#include "dataset.h"
#include "util.h"
+#include <stddef.h>
-void __attribute__((noinline)) matmul(const int coreid, const int ncores, const int lda, const data_t A[], const data_t B[], data_t C[] )
+#pragma GCC optimize ("unroll-loops")
+
+void matmul(const size_t coreid, const size_t ncores, const size_t lda, const data_t A[], const data_t B[], data_t C[])
{
- int i, j, k;
- int block = lda / ncores;
- int start = block * coreid;
+ size_t i, j, k;
+ size_t block = lda / ncores;
+ size_t start = block * coreid;
- for ( j = start; j < (start+block); j++ )
- {
- for ( k = 0; k < lda; k++ )
- {
- for ( i = 0; i < lda; i++ )
- {
- C[i + j*lda] += A[j*lda + k] * B[k*lda + i];
- }
- }
- }
+ for (i = 0; i < lda; i++) {
+ for (j = start; j < (start+block); j++) {
+ data_t sum = 0;
+ for (k = 0; k < lda; k++)
+ sum += A[j*lda + k] * B[k*lda + i];
+ C[i + j*lda] = sum;
+ }
+ }
}
diff --git a/benchmarks/mt-matmul/mt-matmul.c b/benchmarks/mt-matmul/mt-matmul.c
index 9cc3f20..349e47e 100644
--- a/benchmarks/mt-matmul/mt-matmul.c
+++ b/benchmarks/mt-matmul/mt-matmul.c
@@ -22,6 +22,7 @@
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
+#include <stddef.h>
//--------------------------------------------------------------------------
@@ -39,7 +40,7 @@
//--------------------------------------------------------------------------
// matmul function
- extern void __attribute__((noinline)) matmul(const int coreid, const int ncores, const int lda, const data_t A[], const data_t B[], data_t C[] );
+extern void matmul(const size_t coreid, const size_t ncores, const size_t lda, const data_t A[], const data_t B[], data_t C[] );
//--------------------------------------------------------------------------
diff --git a/benchmarks/spmv/dataset1.h b/benchmarks/spmv/dataset1.h
index de430e0..4c871d5 100644
--- a/benchmarks/spmv/dataset1.h
+++ b/benchmarks/spmv/dataset1.h
@@ -1,23024 +1,11512 @@
// See LICENSE for license details.
-#define R 1000
-#define C 1000
-#define NNZ 10004
-const double val[10004] = {
- 658,
- 279,
- 587,
- 255,
- 359,
- 844,
- 905,
- 456,
- 897,
- 837,
+#define R 500
+#define C 500
+#define NNZ 4998
+const double val[4998] = {
+ 644,
+ 344,
+ 346,
+ 101,
+ 553,
+ 823,
+ 33,
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- 773,
- 511,
- 574,
- 98,
- 731,
- 402,
- 862,
- 752,
- 623,
- 991,
- 46,
- 307,
- 347,
- 826,
- 698,
- 658,
+ 173,
+ 418,
+ 299,
+ 762,
+ 57,
+ 637,
+ 485,
+ 187,
+ 477,
+ 218,
+ 301,
+ 7,
+ 66,
+ 101,
+ 112,
+ 20,
35,
- 642,
+ 882,
+ 595,
+ 580,
+ 898,
+ 303,
+ 490,
+ 122,
+ 668,
+ 984,
+ 281,
+ 89,
+ 982,
+ 700,
770,
- 293,
- 385,
- 50,
- 470,
- 908,
- 177,
- 919,
- 460,
- 783,
- 812,
- 885,
144,
- 408,
- 659,
- 741,
- 639,
- 741,
- 234,
- 361,
- 975,
- 361,
- 934,
- 345,
- 46,
- 370,
- 804,
- 357,
- 22,
- 797,
- 24,
- 698,
- 274,
- 669,
- 711,
- 610,
- 104,
- 699,
- 121,
- 724,
- 99,
- 296,
- 870,
- 786,
- 907,
- 517,
- 300,
- 369,
- 115,
+ 163,
+ 485,
+ 172,
+ 266,
987,
- 98,
- 420,
- 792,
- 167,
- 589,
- 81,
- 929,
- 901,
- 444,
- 109,
- 382,
- 693,
- 593,
- 875,
- 545,
- 683,
- 487,
- 631,
- 35,
- 664,
- 35,
- 465,
- 381,
- 502,
- 512,
- 213,
+ 37,
+ 309,
+ 282,
+ 137,
+ 196,
+ 980,
+ 204,
+ 393,
325,
- 921,
+ 613,
+ 991,
+ 244,
+ 208,
+ 834,
+ 902,
+ 329,
+ 667,
+ 890,
+ 902,
+ 938,
+ 441,
+ 248,
+ 985,
+ 872,
+ 380,
435,
- 368,
- 265,
- 897,
- 888,
- 773,
- 659,
- 636,
- 822,
- 940,
- 704,
- 937,
+ 865,
+ 460,
+ 303,
+ 765,
+ 768,
+ 828,
+ 44,
+ 995,
+ 364,
+ 214,
+ 397,
+ 480,
+ 880,
+ 555,
+ 982,
+ 422,
+ 262,
+ 467,
+ 655,
+ 2,
+ 145,
+ 177,
+ 703,
+ 931,
990,
- 380,
- 22,
- 806,
- 443,
- 272,
- 226,
- 75,
- 390,
- 701,
- 604,
+ 298,
+ 331,
+ 927,
+ 114,
+ 184,
+ 647,
+ 969,
+ 398,
+ 582,
+ 419,
+ 795,
+ 320,
103,
- 834,
- 836,
- 128,
- 776,
- 390,
+ 807,
+ 267,
+ 124,
+ 991,
+ 97,
+ 566,
+ 119,
+ 493,
+ 491,
+ 886,
+ 803,
+ 387,
+ 906,
+ 601,
+ 775,
+ 700,
+ 560,
+ 984,
+ 206,
+ 393,
+ 475,
+ 648,
+ 584,
+ 792,
+ 543,
+ 624,
+ 213,
+ 106,
+ 606,
+ 391,
+ 621,
+ 527,
+ 112,
+ 50,
+ 118,
+ 745,
+ 734,
+ 600,
+ 285,
+ 401,
+ 567,
490,
- 761,
- 481,
- 372,
- 204,
- 99,
- 91,
- 22,
- 808,
- 253,
- 230,
+ 709,
+ 529,
+ 93,
+ 681,
+ 373,
576,
- 111,
- 530,
- 569,
+ 66,
+ 413,
+ 427,
+ 987,
+ 261,
+ 80,
+ 710,
+ 910,
+ 65,
+ 413,
+ 210,
+ 871,
+ 420,
+ 688,
+ 181,
+ 371,
+ 708,
+ 628,
+ 270,
+ 279,
+ 253,
+ 11,
+ 429,
+ 805,
+ 968,
+ 181,
205,
- 79,
- 723,
- 69,
+ 841,
+ 246,
+ 103,
+ 798,
+ 431,
+ 562,
+ 695,
+ 168,
+ 763,
+ 788,
+ 779,
+ 793,
+ 149,
+ 801,
+ 403,
+ 247,
+ 983,
+ 696,
+ 321,
+ 818,
+ 572,
+ 584,
+ 355,
+ 272,
+ 158,
+ 325,
+ 786,
+ 852,
+ 484,
+ 425,
+ 899,
+ 505,
+ 423,
+ 934,
+ 456,
+ 376,
+ 999,
+ 546,
+ 722,
+ 441,
+ 734,
+ 372,
+ 964,
+ 565,
+ 833,
+ 899,
+ 55,
+ 66,
+ 319,
+ 102,
+ 750,
+ 168,
+ 319,
+ 734,
+ 245,
+ 481,
+ 218,
+ 127,
+ 939,
+ 878,
+ 210,
+ 693,
129,
- 157,
- 690,
- 663,
- 960,
- 928,
- 549,
- 861,
- 858,
- 688,
- 269,
- 88,
- 740,
- 156,
- 907,
- 39,
- 916,
- 907,
- 334,
- 924,
- 489,
- 523,
- 243,
- 832,
- 196,
- 238,
+ 364,
+ 590,
+ 780,
+ 814,
+ 45,
+ 411,
+ 504,
+ 520,
+ 74,
+ 376,
+ 714,
+ 249,
+ 342,
+ 790,
+ 428,
+ 140,
+ 814,
+ 658,
+ 571,
+ 850,
+ 997,
+ 49,
+ 723,
+ 694,
+ 116,
+ 535,
+ 58,
353,
- 1,
- 7,
- 314,
- 127,
- 188,
- 96,
- 15,
- 805,
- 54,
- 9,
- 827,
- 404,
- 908,
- 152,
- 993,
- 739,
- 18,
- 830,
- 225,
- 119,
+ 671,
+ 523,
+ 498,
+ 522,
+ 866,
+ 378,
+ 970,
+ 334,
+ 714,
+ 519,
+ 878,
+ 456,
544,
- 559,
- 312,
- 438,
- 641,
- 301,
- 560,
- 392,
- 365,
- 576,
- 955,
- 898,
- 503,
- 118,
- 601,
- 848,
- 464,
+ 948,
+ 314,
+ 237,
+ 368,
+ 448,
+ 470,
+ 366,
+ 672,
+ 485,
83,
- 817,
- 190,
- 930,
- 333,
675,
- 660,
- 97,
- 975,
- 412,
- 292,
- 419,
- 456,
- 795,
- 937,
- 793,
- 775,
- 168,
- 22,
- 285,
- 446,
- 516,
- 479,
- 419,
- 80,
- 724,
- 440,
- 812,
- 799,
- 215,
- 257,
- 254,
- 998,
- 103,
- 914,
- 559,
- 536,
- 588,
- 833,
- 464,
- 188,
+ 395,
+ 12,
548,
- 869,
- 359,
- 478,
- 711,
- 413,
- 236,
- 826,
+ 785,
534,
- 811,
- 997,
- 919,
- 179,
+ 40,
+ 71,
+ 895,
+ 378,
+ 724,
+ 531,
+ 675,
+ 104,
+ 609,
+ 820,
+ 980,
+ 931,
+ 359,
+ 113,
+ 435,
+ 974,
+ 671,
+ 423,
+ 131,
+ 454,
+ 60,
+ 78,
+ 274,
+ 858,
+ 188,
+ 681,
+ 427,
+ 440,
+ 622,
+ 995,
+ 90,
+ 873,
+ 170,
+ 237,
+ 27,
+ 908,
+ 959,
+ 292,
+ 735,
+ 673,
+ 277,
+ 647,
+ 972,
+ 275,
+ 344,
790,
+ 767,
+ 704,
+ 845,
+ 78,
+ 865,
869,
- 958,
- 428,
- 792,
- 503,
- 118,
- 329,
- 350,
- 240,
- 390,
- 989,
- 365,
- 170,
- 270,
+ 172,
+ 681,
+ 315,
+ 258,
+ 626,
+ 898,
+ 776,
+ 254,
362,
- 823,
- 277,
- 978,
- 293,
- 777,
- 833,
- 515,
- 336,
- 976,
- 174,
- 532,
- 206,
- 600,
- 236,
- 270,
- 737,
- 513,
- 511,
- 672,
- 679,
- 854,
- 554,
- 295,
- 755,
- 523,
- 932,
+ 734,
750,
- 520,
- 450,
+ 835,
+ 920,
+ 518,
+ 503,
+ 33,
+ 418,
+ 505,
+ 570,
+ 177,
+ 691,
+ 142,
+ 129,
+ 199,
+ 244,
+ 991,
+ 152,
+ 971,
+ 529,
+ 426,
+ 585,
+ 297,
+ 526,
+ 217,
+ 742,
+ 428,
+ 876,
+ 297,
+ 508,
+ 9,
+ 884,
+ 175,
+ 584,
535,
- 586,
- 41,
- 2,
- 357,
- 349,
- 195,
- 5,
+ 247,
+ 526,
+ 745,
+ 181,
+ 320,
+ 558,
+ 601,
+ 84,
+ 806,
+ 62,
+ 345,
+ 940,
+ 89,
+ 194,
+ 840,
+ 506,
+ 112,
+ 431,
+ 552,
+ 678,
421,
- 165,
- 148,
- 341,
- 548,
- 200,
- 620,
- 554,
+ 83,
+ 366,
+ 698,
+ 30,
+ 891,
+ 284,
+ 983,
+ 337,
+ 252,
+ 244,
+ 786,
+ 451,
+ 266,
+ 243,
+ 612,
+ 13,
759,
- 518,
- 145,
+ 247,
+ 815,
+ 955,
+ 603,
+ 727,
+ 691,
722,
- 932,
- 586,
- 186,
- 189,
- 713,
- 830,
- 193,
- 436,
- 92,
- 883,
- 115,
- 46,
- 257,
- 114,
- 244,
+ 202,
+ 878,
+ 249,
+ 30,
+ 763,
+ 563,
303,
- 658,
- 66,
- 395,
- 469,
- 697,
- 430,
- 317,
- 184,
- 224,
- 362,
- 429,
- 493,
- 506,
- 218,
- 593,
- 279,
- 450,
- 567,
- 823,
- 411,
- 889,
- 871,
+ 637,
+ 284,
439,
- 366,
- 693,
- 160,
- 602,
- 813,
- 85,
- 824,
- 224,
- 144,
- 721,
- 540,
- 880,
- 444,
- 222,
- 843,
- 704,
- 285,
- 480,
- 71,
- 556,
- 404,
- 959,
- 31,
- 235,
- 826,
- 228,
- 372,
- 477,
- 993,
- 269,
- 254,
- 432,
- 643,
- 380,
- 81,
- 642,
- 794,
- 462,
- 386,
- 625,
- 787,
- 623,
- 528,
- 718,
- 472,
- 82,
- 225,
- 488,
- 488,
- 382,
- 114,
- 741,
- 356,
- 237,
- 434,
- 915,
- 593,
- 334,
- 875,
- 525,
- 846,
+ 890,
+ 835,
+ 211,
+ 732,
418,
- 726,
- 633,
- 9,
- 228,
- 131,
- 198,
- 922,
- 681,
- 218,
- 435,
- 803,
+ 27,
+ 615,
+ 807,
+ 215,
+ 663,
+ 510,
+ 114,
+ 353,
+ 573,
+ 248,
+ 153,
+ 605,
310,
- 641,
- 258,
+ 144,
+ 94,
+ 691,
+ 219,
+ 714,
+ 691,
+ 276,
+ 838,
+ 687,
+ 260,
90,
- 521,
- 538,
- 971,
- 301,
- 904,
- 31,
- 805,
- 745,
- 702,
- 285,
- 511,
- 591,
- 404,
- 739,
- 157,
- 12,
+ 826,
+ 966,
+ 630,
+ 415,
+ 265,
+ 310,
+ 696,
+ 279,
+ 392,
+ 862,
+ 532,
+ 698,
+ 448,
+ 205,
+ 434,
+ 153,
212,
- 69,
- 478,
- 627,
- 720,
- 177,
- 290,
- 417,
- 585,
- 965,
- 881,
- 508,
- 92,
- 443,
- 655,
+ 149,
+ 970,
+ 66,
+ 850,
+ 553,
+ 739,
+ 319,
+ 616,
+ 16,
+ 101,
+ 600,
+ 845,
+ 226,
+ 848,
+ 921,
+ 625,
+ 239,
+ 414,
+ 822,
217,
- 758,
- 203,
- 491,
- 497,
- 753,
+ 527,
+ 12,
+ 458,
+ 835,
+ 420,
+ 584,
+ 335,
+ 98,
347,
- 582,
- 15,
- 142,
- 301,
- 481,
- 728,
- 242,
- 325,
- 272,
- 127,
- 694,
- 174,
- 851,
- 309,
- 486,
- 520,
- 498,
- 794,
- 155,
- 671,
- 872,
- 698,
- 579,
- 771,
- 665,
- 591,
- 806,
- 984,
- 37,
- 886,
- 580,
- 305,
+ 975,
+ 432,
+ 966,
+ 138,
+ 454,
+ 523,
+ 660,
+ 171,
+ 75,
+ 50,
+ 734,
+ 110,
+ 584,
+ 368,
+ 406
+};
+const int idx[4998] = {
+ 34,
+ 56,
+ 132,
+ 163,
+ 256,
+ 260,
+ 418,
+ 431,
+ 466,
+ 494,
+ 497,
+ 49,
+ 64,
103,
- 585,
- 234,
- 918,
- 62,
- 857,
- 548,
- 295,
- 618,
- 901,
- 12,
- 20,
- 59,
- 291,
- 376,
- 299,
+ 165,
+ 225,
+ 330,
339,
- 10,
- 586,
- 540,
- 972,
- 682,
- 473,
- 340,
- 820,
- 752,
- 332,
- 93,
- 973,
- 434,
- 39,
- 526,
- 841,
- 955,
- 270,
- 116,
- 778,
- 140,
- 878,
- 509,
- 760,
- 216,
- 851,
- 836,
- 475,
- 33,
- 884,
- 382,
- 264,
- 324,
- 787,
- 640,
- 793,
- 686,
- 280,
- 115,
+ 469,
+ 478,
+ 494,
+ 497,
+ 9,
+ 28,
+ 82,
+ 111,
+ 155,
+ 282,
+ 365,
+ 451,
+ 453,
461,
+ 49,
+ 74,
+ 81,
+ 241,
+ 349,
+ 355,
+ 448,
+ 473,
+ 51,
+ 59,
+ 122,
258,
- 5,
- 461,
- 527,
- 672,
- 196,
- 813,
- 585,
+ 283,
+ 381,
+ 18,
+ 50,
+ 193,
+ 227,
+ 257,
+ 356,
+ 467,
+ 1,
+ 32,
+ 43,
+ 61,
+ 81,
+ 210,
+ 245,
+ 298,
+ 362,
+ 373,
+ 442,
+ 18,
+ 133,
+ 163,
+ 211,
+ 230,
+ 279,
+ 326,
387,
+ 408,
+ 472,
+ 60,
+ 94,
+ 143,
+ 246,
+ 262,
+ 297,
+ 309,
+ 324,
+ 327,
+ 351,
+ 361,
+ 371,
+ 380,
+ 455,
+ 463,
+ 25,
+ 80,
+ 126,
+ 128,
+ 173,
+ 217,
+ 220,
+ 233,
+ 242,
+ 293,
+ 348,
413,
- 339,
- 113,
- 767,
- 564,
- 10,
+ 447,
+ 125,
+ 163,
+ 179,
+ 217,
+ 342,
+ 346,
+ 352,
+ 389,
+ 434,
+ 493,
+ 18,
+ 26,
+ 182,
+ 220,
+ 226,
+ 263,
332,
- 500,
- 311,
- 282,
- 143,
- 108,
- 29,
- 966,
- 13,
- 837,
- 241,
- 431,
- 51,
- 564,
- 414,
- 835,
- 855,
- 71,
- 885,
- 990,
- 86,
340,
- 225,
- 179,
- 12,
- 795,
- 628,
- 615,
- 167,
- 756,
- 274,
- 154,
- 484,
- 607,
- 155,
- 522,
- 699,
- 407,
- 582,
- 710,
- 535,
- 153,
- 417,
- 349,
- 37,
- 743,
- 966,
- 840,
- 230,
+ 403,
+ 1,
+ 24,
+ 27,
+ 71,
+ 127,
+ 140,
+ 263,
+ 374,
+ 380,
+ 424,
+ 426,
+ 231,
+ 237,
+ 243,
+ 319,
+ 353,
+ 431,
+ 437,
+ 441,
+ 35,
+ 91,
+ 233,
+ 271,
+ 272,
+ 292,
+ 381,
83,
- 759,
- 610,
- 31,
- 962,
- 561,
- 19,
- 702,
- 56,
- 838,
- 235,
- 47,
- 393,
- 700,
- 873,
- 548,
- 419,
- 508,
- 320,
+ 117,
+ 121,
+ 149,
+ 152,
+ 159,
+ 412,
+ 484,
+ 489,
+ 63,
+ 164,
+ 170,
+ 311,
+ 32,
+ 68,
+ 82,
91,
+ 115,
+ 120,
+ 201,
+ 236,
+ 252,
+ 275,
+ 390,
+ 437,
+ 20,
+ 46,
+ 72,
+ 77,
+ 80,
+ 108,
+ 118,
+ 150,
+ 249,
+ 282,
+ 384,
+ 458,
+ 486,
+ 28,
70,
- 693,
- 587,
- 889,
- 716,
- 7,
- 213,
- 628,
- 603,
- 411,
- 351,
- 79,
- 220,
- 823,
- 919,
- 430,
- 423,
- 336,
- 265,
- 161,
- 357,
- 184,
- 821,
- 598,
- 529,
- 663,
- 197,
- 655,
- 620,
- 749,
- 488,
- 130,
- 45,
- 861,
- 912,
- 383,
- 273,
- 357,
- 285,
- 244,
- 860,
- 867,
- 156,
- 540,
- 428,
+ 77,
+ 78,
+ 100,
+ 261,
+ 311,
+ 318,
+ 394,
+ 465,
+ 469,
+ 489,
+ 21,
+ 159,
250,
- 383,
- 327,
- 125,
- 170,
- 226,
- 163,
- 295,
- 901,
- 703,
- 992,
- 625,
- 805,
- 143,
- 416,
- 488,
- 83,
- 838,
- 901,
- 832,
- 722,
- 33,
- 565,
- 957,
386,
- 255,
- 529,
- 22,
- 385,
- 641,
- 3,
- 975,
- 43,
- 360,
- 374,
- 26,
- 50,
- 513,
- 623,
+ 478,
+ 57,
+ 70,
+ 180,
+ 217,
+ 276,
+ 285,
+ 291,
+ 303,
+ 312,
+ 318,
+ 370,
+ 371,
+ 426,
+ 477,
+ 86,
+ 122,
+ 128,
+ 292,
+ 309,
+ 314,
+ 335,
+ 421,
+ 422,
+ 427,
+ 452,
+ 480,
+ 488,
+ 45,
+ 97,
+ 98,
+ 106,
+ 302,
+ 364,
+ 437,
+ 7,
+ 96,
+ 100,
+ 130,
+ 174,
+ 307,
+ 89,
+ 317,
+ 354,
+ 390,
+ 406,
498,
- 962,
+ 61,
+ 64,
+ 130,
+ 268,
+ 312,
+ 349,
+ 480,
+ 9,
47,
- 824,
- 955,
- 947,
- 877,
- 718,
- 305,
- 433,
- 838,
- 16,
- 971,
- 56,
+ 104,
+ 169,
+ 170,
315,
- 40,
- 251,
- 32,
- 776,
- 910,
- 502,
- 872,
- 404,
- 24,
- 266,
- 655,
+ 399,
+ 437,
444,
- 38,
- 433,
- 166,
- 251,
- 737,
- 585,
- 802,
- 879,
- 316,
- 909,
- 85,
- 530,
- 162,
- 819,
- 420,
- 995,
- 655,
- 546,
- 83,
- 666,
- 491,
+ 469,
+ 117,
+ 183,
+ 192,
+ 225,
+ 265,
+ 371,
+ 43,
+ 81,
+ 123,
224,
+ 257,
+ 285,
+ 321,
+ 329,
+ 338,
436,
- 981,
- 473,
- 206,
- 574,
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- 987,
- 330,
- 80,
- 665,
- 551,
- 377,
- 540,
- 188,
- 920,
- 680,
- 133,
- 77,
- 466,
- 439,
- 258,
- 570,
- 659,
- 56,
- 10,
- 615,
- 504,
- 336,
- 655,
- 720,
- 156,
- 289,
- 354,
- 637,
- 184,
- 853,
- 944,
- 177,
- 973,
- 177,
- 537,
- 934,
- 78,
- 267,
- 209,
- 898,
- 115,
- 986,
- 920,
- 926,
- 393,
- 217,
- 204,
- 312,
- 989,
- 655,
- 214,
- 47,
- 231,
- 278,
- 866,
- 734,
- 707,
- 605,
- 208,
- 232,
- 506,
- 116,
- 383,
- 662,
- 151,
- 92,
- 785,
- 431,
- 614,
- 585,
- 682,
- 781,
- 343,
- 590,
- 458,
- 232,
- 360,
- 187,
+ 404,
+ 482,
18,
- 769,
- 704,
- 620,
- 67,
- 109,
- 88,
- 353,
- 401,
- 228,
- 508,
- 406,
- 255,
- 989,
- 151,
- 702,
- 277,
- 376,
- 381,
+ 54,
+ 242,
+ 289,
+ 303,
+ 358,
+ 388,
409,
- 932,
- 31,
- 761,
- 783,
- 233,
- 154,
- 871,
- 55,
- 648,
- 5,
- 12,
- 465,
- 96,
- 904,
- 169,
- 325,
- 428,
- 572,
- 47,
- 78,
- 258,
- 525,
- 276,
- 502,
- 972,
- 488,
- 763,
- 798,
- 973,
- 186,
- 490,
- 362,
- 205,
- 154,
- 245,
- 784,
- 493,
- 76,
- 975,
- 459,
- 598,
- 227,
- 161,
- 752,
- 243,
- 858,
- 931,
- 996,
- 543,
- 488,
- 560,
+ 486,
+ 499,
+ 14,
+ 102,
240,
- 49,
- 318,
- 374,
- 914,
- 52,
- 693,
- 762,
- 329,
- 691,
- 193,
- 122,
- 925,
- 577,
- 748,
- 236,
- 8,
- 591,
- 640,
- 61,
- 77,
- 295,
- 117,
- 323,
- 732,
- 493,
- 811,
- 67,
- 694,
- 158,
- 589,
- 247,
+ 261,
+ 441,
+ 475,
+ 86,
+ 103,
115,
- 184,
- 682,
- 927,
- 918,
- 353,
- 217,
- 904,
- 834,
- 107,
- 728,
- 683,
- 908,
- 596,
- 721,
- 44,
- 412,
- 780,
- 882,
- 682,
- 497,
- 832,
- 559,
126,
- 303,
- 100,
- 214,
- 829,
- 344,
- 654,
- 679,
- 336,
- 148,
- 213,
- 982,
- 859,
- 558,
- 855,
- 999,
- 698,
- 38,
- 490,
- 340,
- 846,
- 852,
- 26,
- 942,
- 575,
- 383,
- 1,
- 198,
- 836,
- 570,
- 893,
- 950,
- 7,
- 527,
- 628,
- 753,
- 660,
- 180,
- 354,
- 819,
- 775,
- 271,
- 187,
- 374,
- 532,
- 374,
- 900
-};
-const int idx[10004] = {
- 13,
+ 203,
+ 216,
+ 280,
+ 335,
+ 368,
+ 449,
+ 15,
111,
- 124,
- 218,
- 316,
- 502,
- 34,
- 119,
- 167,
- 180,
+ 325,
+ 352,
+ 365,
+ 377,
+ 420,
+ 449,
+ 454,
+ 492,
+ 76,
+ 87,
+ 139,
+ 166,
+ 179,
186,
- 346,
- 511,
- 543,
- 755,
- 788,
- 833,
- 929,
- 46,
- 109,
- 154,
- 220,
- 248,
- 448,
- 509,
- 517,
- 530,
- 557,
- 639,
- 643,
- 720,
- 137,
- 189,
- 424,
- 480,
- 570,
- 642,
- 849,
- 896,
- 968,
- 117,
- 136,
- 208,
- 248,
- 347,
- 410,
- 433,
- 515,
- 747,
- 144,
+ 368,
+ 376,
+ 434,
+ 176,
+ 190,
+ 192,
+ 214,
+ 225,
+ 229,
+ 274,
+ 300,
+ 313,
+ 321,
+ 324,
+ 455,
+ 468,
+ 494,
+ 48,
+ 79,
148,
- 375,
- 405,
- 444,
- 532,
- 788,
- 808,
- 987,
- 110,
- 112,
- 403,
- 415,
- 596,
- 612,
- 669,
- 794,
- 851,
- 80,
- 285,
- 288,
+ 178,
+ 282,
+ 333,
433,
- 500,
- 628,
- 982,
- 999,
- 57,
- 237,
- 252,
- 304,
- 469,
- 600,
- 609,
- 621,
- 741,
- 798,
- 251,
- 322,
- 369,
- 374,
- 376,
- 507,
- 623,
- 666,
- 669,
- 677,
- 707,
- 823,
- 919,
- 63,
- 187,
- 266,
- 360,
- 396,
+ 0,
+ 23,
+ 44,
+ 49,
+ 227,
+ 249,
+ 389,
+ 397,
+ 402,
439,
- 459,
- 526,
- 623,
- 804,
- 857,
- 881,
- 948,
- 160,
- 165,
- 226,
- 446,
- 538,
- 585,
- 624,
- 866,
- 975,
- 979,
- 18,
- 54,
- 151,
- 180,
- 230,
- 298,
- 480,
- 678,
- 688,
- 696,
- 742,
- 757,
- 889,
- 979,
+ 461,
+ 16,
+ 63,
+ 68,
+ 81,
100,
- 245,
- 513,
- 925,
- 162,
- 413,
- 427,
- 588,
- 645,
- 807,
- 853,
- 194,
- 313,
- 339,
- 466,
- 539,
- 581,
- 732,
- 791,
- 832,
- 927,
- 954,
- 962,
- 966,
- 42,
- 45,
+ 109,
138,
- 141,
- 239,
- 338,
- 584,
- 696,
- 912,
- 929,
- 269,
- 352,
- 443,
- 463,
- 896,
- 962,
- 60,
- 92,
- 273,
- 568,
- 591,
- 851,
- 38,
- 77,
- 281,
- 362,
- 544,
- 614,
- 651,
- 836,
- 871,
- 873,
- 45,
- 61,
- 140,
- 153,
- 234,
- 439,
- 472,
- 509,
- 588,
- 675,
- 760,
- 777,
- 178,
- 198,
- 248,
- 517,
- 566,
- 679,
- 700,
- 289,
- 455,
- 602,
- 695,
- 711,
- 853,
- 923,
- 179,
- 199,
- 214,
- 280,
- 343,
- 405,
- 435,
- 504,
- 898,
- 910,
- 939,
- 130,
- 219,
- 296,
- 445,
- 508,
- 634,
- 763,
- 918,
- 922,
- 978,
- 87,
- 285,
- 614,
- 667,
- 679,
- 739,
- 834,
- 192,
- 347,
- 549,
- 557,
- 724,
- 764,
- 928,
- 929,
- 976,
- 17,
- 283,
- 413,
- 429,
- 612,
- 683,
- 707,
- 725,
- 743,
- 833,
- 856,
- 165,
- 267,
+ 139,
+ 210,
+ 231,
+ 277,
304,
- 361,
- 397,
- 410,
- 570,
- 683,
- 766,
- 788,
- 849,
- 882,
- 885,
- 30,
- 58,
- 221,
- 254,
- 453,
- 457,
- 470,
- 674,
- 687,
- 745,
- 809,
- 819,
+ 124,
+ 266,
+ 329,
+ 358,
+ 388,
+ 407,
+ 482,
+ 24,
55,
- 121,
- 231,
- 538,
- 604,
- 718,
- 768,
- 960,
- 71,
- 77,
- 104,
- 186,
- 205,
- 234,
- 456,
- 467,
- 579,
- 682,
- 733,
- 767,
- 947,
- 66,
- 86,
- 157,
- 290,
- 422,
- 441,
- 473,
- 560,
- 607,
- 640,
- 682,
- 888,
- 37,
- 296,
- 439,
- 629,
- 642,
- 733,
- 824,
- 917,
- 969,
- 4,
- 25,
- 580,
- 622,
- 636,
- 666,
- 672,
- 732,
- 802,
- 921,
- 943,
+ 63,
+ 111,
+ 249,
+ 21,
+ 61,
+ 105,
+ 146,
+ 243,
+ 274,
+ 362,
+ 396,
+ 487,
+ 64,
+ 85,
130,
- 194,
- 245,
- 273,
- 323,
- 344,
- 603,
- 740,
- 795,
- 974,
- 189,
- 422,
- 445,
+ 228,
+ 359,
+ 404,
446,
- 831,
- 905,
- 912,
- 36,
+ 487,
+ 2,
+ 13,
60,
- 218,
- 428,
- 455,
- 627,
- 743,
- 796,
- 801,
- 903,
- 136,
- 152,
- 166,
- 352,
- 364,
- 369,
- 382,
- 466,
- 521,
- 577,
- 665,
- 746,
- 910,
- 294,
- 345,
- 445,
- 645,
- 686,
- 718,
- 757,
- 762,
- 796,
- 817,
- 832,
- 836,
- 997,
+ 74,
127,
- 258,
- 259,
- 449,
- 541,
- 643,
- 665,
- 756,
- 817,
- 854,
- 870,
- 89,
+ 181,
+ 209,
+ 308,
+ 410,
+ 418,
+ 110,
+ 206,
+ 207,
+ 227,
+ 264,
+ 301,
+ 325,
+ 370,
+ 382,
+ 395,
+ 398,
+ 436,
+ 56,
+ 91,
134,
- 188,
- 362,
- 408,
- 531,
- 566,
- 816,
- 127,
- 170,
- 302,
- 336,
- 426,
- 434,
- 601,
- 708,
- 774,
- 780,
- 900,
- 935,
- 377,
- 469,
- 618,
- 650,
- 790,
- 809,
- 78,
- 253,
+ 192,
+ 206,
+ 219,
+ 222,
+ 300,
+ 403,
+ 482,
+ 30,
+ 168,
+ 210,
+ 234,
+ 260,
+ 330,
340,
- 382,
- 586,
- 673,
- 684,
- 282,
- 354,
+ 350,
+ 498,
+ 21,
+ 116,
+ 317,
+ 318,
+ 336,
+ 433,
+ 487,
+ 494,
+ 497,
+ 75,
+ 127,
+ 268,
+ 287,
+ 385,
+ 407,
+ 446,
+ 484,
+ 157,
+ 207,
+ 256,
363,
- 398,
- 636,
- 655,
- 729,
- 885,
- 911,
- 10,
+ 472,
+ 484,
+ 11,
+ 116,
+ 124,
+ 137,
175,
- 195,
- 229,
- 273,
+ 471,
+ 71,
+ 74,
+ 132,
+ 180,
+ 297,
+ 355,
+ 363,
+ 382,
+ 469,
+ 84,
+ 119,
+ 239,
339,
- 380,
- 531,
- 660,
- 681,
- 794,
- 800,
- 236,
- 416,
- 646,
- 679,
- 685,
- 885,
- 7,
- 116,
- 299,
- 481,
- 702,
- 747,
- 922,
- 64,
- 153,
- 374,
- 391,
- 532,
- 558,
- 602,
- 655,
- 662,
- 804,
- 847,
- 867,
- 998,
+ 437,
+ 8,
45,
- 66,
- 97,
- 106,
- 236,
- 240,
+ 83,
+ 110,
+ 141,
+ 211,
+ 224,
+ 269,
+ 271,
+ 344,
+ 444,
+ 449,
+ 488,
+ 13,
+ 53,
+ 76,
+ 219,
+ 235,
+ 243,
+ 292,
+ 317,
+ 381,
+ 494,
+ 85,
+ 120,
+ 121,
+ 162,
+ 181,
+ 192,
+ 219,
+ 242,
247,
- 453,
- 641,
- 646,
- 711,
- 712,
- 715,
- 855,
- 906,
- 923,
- 37,
- 65,
- 122,
- 331,
- 578,
- 589,
- 610,
- 139,
293,
- 354,
+ 306,
+ 484,
+ 47,
+ 53,
+ 202,
+ 223,
+ 238,
+ 284,
+ 323,
+ 394,
395,
- 430,
- 486,
- 589,
- 614,
- 661,
- 699,
- 846,
- 910,
- 18,
53,
- 78,
- 234,
- 296,
- 690,
- 828,
- 923,
- 87,
- 115,
+ 58,
+ 61,
+ 72,
+ 73,
+ 138,
+ 146,
+ 216,
+ 291,
+ 25,
+ 39,
+ 100,
+ 184,
+ 222,
+ 239,
+ 287,
+ 331,
+ 438,
+ 24,
+ 40,
+ 48,
+ 76,
+ 91,
+ 119,
+ 142,
+ 143,
156,
- 161,
- 173,
- 201,
- 400,
- 474,
- 501,
- 526,
- 782,
- 861,
+ 258,
+ 332,
+ 398,
+ 493,
+ 25,
63,
- 271,
- 427,
- 552,
- 590,
- 657,
- 920,
- 41,
- 194,
- 281,
- 571,
- 640,
- 681,
- 696,
- 301,
- 306,
- 514,
- 553,
- 560,
- 641,
- 683,
- 762,
- 812,
- 818,
- 876,
- 904,
- 932,
- 978,
+ 228,
+ 313,
+ 339,
+ 363,
+ 385,
+ 90,
+ 109,
+ 124,
+ 159,
+ 229,
+ 478,
+ 24,
38,
- 62,
98,
- 103,
- 370,
+ 131,
+ 225,
+ 265,
+ 293,
+ 339,
+ 422,
+ 18,
+ 51,
+ 76,
+ 170,
+ 348,
390,
- 531,
- 559,
- 693,
- 813,
- 924,
- 943,
- 955,
- 973,
- 13,
- 40,
- 62,
- 75,
- 396,
- 419,
- 615,
- 773,
- 968,
- 989,
- 150,
- 183,
- 241,
- 261,
+ 437,
+ 41,
+ 47,
+ 303,
+ 309,
+ 317,
+ 347,
+ 352,
407,
- 476,
- 492,
- 524,
- 541,
- 863,
- 994,
- 156,
- 195,
- 197,
- 278,
- 457,
- 467,
- 610,
- 621,
- 956,
- 49,
- 343,
- 454,
- 477,
- 572,
- 600,
- 700,
- 759,
- 804,
- 923,
- 92,
- 194,
- 455,
- 842,
- 968,
- 160,
- 211,
- 461,
- 463,
- 467,
- 622,
- 854,
- 972,
- 333,
- 469,
- 563,
- 571,
- 639,
- 838,
- 977,
- 18,
- 105,
- 133,
- 258,
- 572,
- 720,
- 804,
- 851,
- 930,
+ 149,
+ 219,
+ 242,
+ 254,
+ 304,
+ 339,
+ 483,
+ 488,
+ 42,
+ 81,
+ 97,
+ 100,
+ 103,
+ 221,
+ 288,
+ 369,
+ 423,
+ 434,
19,
- 139,
- 158,
- 301,
- 354,
- 407,
- 589,
- 726,
- 846,
- 904,
- 26,
- 54,
- 155,
- 212,
- 216,
- 418,
- 534,
- 647,
- 792,
- 862,
- 889,
- 101,
- 216,
- 228,
- 396,
- 470,
- 473,
- 592,
- 706,
- 799,
- 913,
- 922,
98,
- 324,
- 524,
- 672,
- 685,
- 856,
- 213,
- 224,
- 228,
+ 208,
+ 240,
+ 248,
+ 349,
+ 486,
+ 495,
+ 1,
+ 12,
+ 100,
+ 134,
+ 181,
+ 186,
+ 226,
+ 246,
+ 284,
+ 335,
+ 384,
+ 450,
+ 67,
+ 95,
+ 101,
+ 207,
+ 215,
+ 217,
+ 245,
+ 254,
300,
- 395,
- 604,
- 631,
- 651,
- 835,
- 944,
- 289,
- 574,
- 613,
- 657,
- 671,
- 748,
- 763,
- 768,
- 815,
- 843,
- 908,
+ 325,
+ 384,
+ 400,
+ 430,
+ 14,
+ 21,
+ 36,
+ 39,
74,
- 79,
- 203,
- 218,
- 245,
- 249,
- 390,
- 548,
- 616,
- 804,
- 986,
- 49,
- 196,
- 585,
- 591,
- 608,
- 728,
- 750,
- 810,
- 836,
- 920,
- 980,
- 38,
- 41,
- 93,
- 94,
- 320,
- 360,
- 502,
- 555,
- 729,
- 742,
- 814,
- 984,
+ 145,
+ 173,
+ 190,
+ 240,
+ 343,
+ 364,
+ 374,
+ 385,
+ 426,
+ 451,
+ 490,
+ 495,
+ 76,
+ 87,
89,
- 131,
- 499,
- 677,
- 825,
- 846,
- 919,
- 966,
- 17,
- 37,
- 121,
- 168,
- 560,
- 585,
- 691,
- 788,
- 892,
- 925,
- 951,
- 995,
- 13,
- 69,
- 124,
+ 102,
+ 150,
+ 285,
+ 464,
+ 494,
+ 3,
+ 88,
+ 152,
+ 173,
229,
+ 284,
+ 290,
+ 303,
+ 411,
+ 468,
+ 165,
+ 167,
+ 193,
+ 199,
+ 209,
+ 295,
+ 302,
+ 322,
+ 362,
+ 365,
+ 455,
+ 462,
+ 142,
+ 155,
+ 205,
+ 248,
+ 255,
+ 271,
+ 275,
+ 18,
+ 68,
+ 130,
+ 180,
+ 207,
+ 284,
+ 286,
+ 299,
+ 346,
+ 379,
+ 383,
+ 478,
+ 21,
+ 60,
+ 63,
+ 168,
+ 171,
+ 220,
+ 273,
+ 279,
308,
- 554,
- 643,
- 668,
- 717,
- 747,
- 813,
- 814,
- 864,
- 298,
+ 324,
327,
- 386,
- 425,
- 586,
- 600,
- 725,
- 730,
- 832,
+ 355,
+ 490,
+ 88,
+ 103,
+ 136,
+ 252,
+ 274,
+ 310,
+ 320,
+ 369,
+ 391,
+ 407,
+ 18,
+ 48,
+ 52,
+ 81,
+ 99,
+ 116,
+ 140,
+ 156,
+ 176,
+ 183,
+ 186,
+ 224,
+ 45,
+ 172,
+ 318,
+ 411,
+ 428,
+ 496,
+ 11,
12,
- 38,
- 94,
- 150,
+ 44,
+ 85,
+ 144,
175,
- 501,
- 538,
- 552,
- 571,
- 606,
- 624,
- 650,
- 686,
- 728,
- 157,
- 605,
- 630,
- 713,
- 784,
- 850,
- 954,
- 181,
- 234,
- 610,
- 612,
- 661,
- 663,
- 677,
- 688,
- 726,
- 809,
- 818,
- 67,
- 77,
- 164,
- 193,
214,
- 345,
- 352,
- 551,
- 696,
- 919,
- 994,
- 12,
- 311,
- 404,
- 454,
- 473,
- 521,
- 581,
- 651,
- 677,
- 717,
- 850,
- 873,
- 880,
- 892,
- 945,
- 54,
- 138,
- 210,
- 219,
- 248,
- 413,
- 480,
- 491,
- 639,
- 652,
- 773,
- 807,
- 824,
- 962,
- 79,
- 211,
- 499,
- 560,
- 561,
- 759,
- 774,
- 800,
- 865,
- 35,
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22,
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289,
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324,
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68,
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305,
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17,
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169,
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19,
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- 636,
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138,
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- 566,
- 583,
- 721,
- 929,
- 935,
- 954,
- 221,
- 273,
- 315,
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- 447,
- 641,
- 725,
- 830,
- 885,
- 928,
- 7,
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- 482,
- 493,
- 519,
- 612,
- 615,
- 666,
- 758,
- 807,
- 915,
- 70,
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- 350,
- 438,
- 479,
- 522,
- 564,
- 893,
- 120,
- 273,
- 384,
- 424,
+ 194,
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+ 426,
446,
- 447,
- 467,
- 585,
- 633,
- 792,
- 948,
- 997,
- 7,
- 51,
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- 32,
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- 17,
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210,
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198,
- 206,
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371,
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- 738,
- 837,
- 840,
- 946,
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- 359,
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- 687,
- 802,
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- 950,
- 112,
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- 141,
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- 624,
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- 30,
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465,
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- 661,
- 752,
- 783,
- 795,
- 880,
- 907,
- 8,
- 101,
- 145,
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253,
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- 122,
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- 486,
- 562,
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- 841,
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+ 281,
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+ 31,
134,
- 197,
- 381,
- 382,
- 414,
- 430,
- 431,
- 655,
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- 807,
- 958,
- 81,
- 210,
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- 538,
- 724,
- 903,
- 947,
- 51,
- 118,
- 243,
- 326,
- 537,
- 597,
- 836,
- 966,
- 11,
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+ 354,
+ 428,
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+ 27,
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147,
- 204,
- 214,
- 269,
- 288,
- 290,
- 304,
- 307,
- 334,
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- 661,
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- 800,
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- 548,
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- 692,
- 777,
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- 322,
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- 543,
- 656,
- 670,
- 712,
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- 907,
- 923,
- 71,
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- 114,
- 148,
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201,
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- 331,
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- 296,
- 302,
- 311,
- 581,
- 625,
- 655,
- 781,
- 892,
- 926,
- 23,
- 43,
- 100,
- 156,
- 273,
- 337,
- 572,
- 673,
- 741,
- 980,
- 52,
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- 164,
- 336,
- 373,
+ 215,
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+ 394,
+ 71,
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+ 110,
+ 151,
+ 182,
+ 304,
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400,
- 470,
- 951,
- 20,
- 30,
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- 872,
- 883,
- 944,
- 11,
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- 460,
- 482,
- 486,
- 495,
- 512,
- 651,
- 868,
- 917,
- 997,
- 16,
- 74,
- 417,
- 496,
- 590,
- 639,
- 692,
- 778,
- 781,
+ 409
+};
+const double x[500] = {
+ 353,
+ 528,
855,
+ 623,
+ 693,
+ 26,
928,
- 930,
- 259,
- 275,
- 477,
- 637,
- 748,
- 807,
- 957,
- 999,
- 38,
- 184,
- 260,
- 266,
- 268,
- 323,
- 391,
- 598,
- 628,
- 881,
- 947,
- 54,
- 62,
- 219,
+ 283,
+ 710,
+ 154,
+ 423,
+ 193,
+ 627,
+ 362,
+ 271,
+ 632,
+ 502,
+ 254,
+ 655,
+ 589,
+ 809,
+ 858,
+ 427,
+ 70,
+ 305,
+ 618,
+ 419,
+ 16,
+ 840,
+ 389,
+ 773,
270,
- 471,
- 473,
- 491,
- 673,
- 859,
- 892,
- 947,
- 72,
- 218,
- 309,
- 331,
- 372,
- 573,
- 741,
- 822,
- 825,
- 966,
- 48,
- 200,
- 205,
- 237,
- 261,
- 265,
- 338,
- 353,
- 666,
- 928,
- 967,
- 53,
- 74,
- 259,
- 284,
- 507,
- 615,
- 886,
- 905,
- 955,
- 10,
- 21,
- 44,
- 406,
- 460,
- 684,
- 782,
- 816,
- 826,
- 907,
- 34,
- 189,
- 260,
- 332,
- 356,
- 444,
- 460,
- 758,
- 781,
- 838,
- 842,
- 905,
- 967,
- 6,
- 7,
- 169,
- 220,
- 295,
- 384,
- 399,
- 442,
- 739,
- 922,
- 969,
- 286,
- 300,
- 401,
- 460,
- 503,
- 659,
- 686,
- 727,
- 749,
+ 546,
+ 455,
+ 278,
+ 647,
+ 926,
+ 882,
+ 158,
785,
- 974,
- 993,
- 998,
- 183,
- 210,
- 328,
- 450,
- 453,
- 480,
+ 620,
+ 56,
+ 154,
+ 592,
+ 293,
496,
- 517,
- 525,
+ 810,
+ 429,
+ 509,
+ 562,
+ 26,
+ 981,
+ 21,
+ 849,
+ 374,
+ 495,
549,
- 635,
- 716,
- 732,
- 748,
- 749,
- 832,
- 959,
- 95,
- 107,
- 121,
- 258,
- 326,
- 416,
- 588,
- 654,
- 753,
- 831,
- 34,
- 83,
- 101,
- 181,
- 224,
- 552,
- 623,
- 671,
- 866,
- 983,
- 997,
- 104,
- 129,
- 143,
- 198,
- 213,
- 420,
- 438,
- 612,
- 674,
- 910,
- 943,
- 210,
- 212,
- 218,
- 321,
- 330,
- 455,
- 692,
- 794,
- 839,
- 960,
- 965,
- 17,
- 101,
124,
- 395,
- 476,
- 513,
- 514,
- 566,
- 692,
- 846,
- 856,
- 859,
- 862,
- 908,
- 920,
- 947,
- 958,
- 8,
- 200,
- 373,
- 462,
- 556,
- 739,
- 796,
- 932,
- 951,
- 958,
- 44,
- 56,
- 186,
- 262,
- 310,
- 355,
- 380,
- 470,
- 593,
- 714,
- 906,
- 964,
- 989,
- 65,
- 114,
- 195,
- 306,
- 307,
- 355,
- 403,
- 469,
- 513,
- 654,
- 685,
- 800,
- 812,
- 816,
- 825,
- 843,
- 925,
- 3,
- 328,
- 425,
- 486,
- 730,
- 773,
- 789,
+ 687,
+ 137,
+ 719,
+ 232,
+ 690,
+ 616,
824,
- 943,
- 966,
- 967,
- 981,
- 984,
- 83,
- 156,
- 311,
- 439,
- 545,
- 565,
+ 46,
+ 712,
650,
+ 223,
+ 868,
+ 576,
+ 707,
+ 999,
+ 883,
+ 551,
+ 159,
+ 306,
+ 101,
+ 618,
+ 194,
+ 787,
+ 488,
+ 395,
+ 970,
+ 29,
+ 260,
+ 223,
+ 605,
682,
- 769,
- 299,
- 341,
- 409,
- 782,
- 943,
+ 293,
+ 208,
5,
- 52,
- 57,
- 123,
- 146,
- 175,
- 409,
- 443,
- 532,
- 989,
- 120,
- 158,
- 430,
- 436,
- 449,
- 640,
- 659,
- 734,
- 749,
- 834,
- 882,
- 911,
- 952,
- 22,
- 226,
- 442,
- 591,
- 879,
- 51,
- 69,
- 86,
- 97,
- 178,
- 263,
- 316,
- 425,
- 534,
- 554,
- 565,
+ 947,
+ 244,
+ 126,
+ 692,
+ 95,
888,
- 988,
- 991,
- 24,
- 352,
- 511,
- 522,
- 555,
- 570,
- 603,
- 696,
- 887,
- 960,
- 39,
- 133,
- 260,
- 401,
- 465,
- 526,
- 609,
- 732,
- 131,
- 206,
- 305,
- 669,
- 809,
- 877,
- 986,
- 439,
- 520,
- 567,
- 588,
- 617,
- 712,
- 891,
- 998,
- 274,
- 358,
- 425,
- 495,
- 715,
- 872,
- 918,
- 923,
- 951,
- 980,
- 983,
- 119,
- 123,
- 316,
- 324,
- 349,
- 644,
- 705,
- 718,
- 769,
- 781,
- 795,
- 884,
- 110,
- 133,
- 140,
- 152,
- 157,
- 495,
- 569,
- 608,
- 629,
- 803,
- 827,
- 909,
- 942,
- 9,
- 230,
- 268,
- 423,
- 626,
- 707,
- 724,
- 748,
- 828,
- 996,
- 274,
- 308,
- 436,
- 722,
- 879,
- 213,
- 259,
- 324,
- 329,
- 377,
- 534,
- 588,
- 827,
- 896,
- 149,
- 261,
- 591,
- 597,
- 785,
- 813,
- 883,
- 920,
- 996,
- 10,
- 64,
+ 776,
+ 502,
+ 375,
237,
- 417,
- 535,
- 686,
- 709,
- 717,
- 744,
- 41,
- 67,
- 260,
- 370,
- 405,
+ 176,
+ 730,
+ 837,
407,
- 520,
- 632,
- 893,
- 955,
- 127,
+ 757,
+ 772,
+ 365,
+ 21,
250,
- 336,
- 354,
- 388,
- 474,
- 591,
- 703,
- 805,
- 811,
- 833,
- 871,
- 881,
- 991,
- 994,
- 17,
- 91,
- 113,
- 122,
- 300,
- 301,
- 463,
- 716,
- 741,
- 776,
- 784,
- 906,
- 994,
- 33,
- 57,
- 206,
- 448,
- 520,
- 612,
- 769,
- 834,
- 282,
- 393,
- 441,
- 461,
- 503,
- 796,
+ 938,
+ 804,
+ 940,
+ 859,
+ 945,
+ 173,
+ 215,
72,
- 206,
- 304,
- 381,
- 565,
- 723,
- 114,
- 121,
- 130,
- 259,
- 346,
- 386,
- 432,
- 538,
- 575,
- 595,
- 855,
- 945
-};
-const double x[1000] = {
- 602,
- 730,
- 528,
- 886,
- 890,
- 755,
- 124,
- 435,
- 24,
- 245,
- 112,
- 144,
- 171,
- 746,
- 547,
- 172,
- 905,
- 97,
- 70,
- 133,
- 117,
- 951,
- 783,
- 271,
- 174,
- 263,
- 769,
- 889,
+ 331,
+ 339,
+ 880,
+ 874,
+ 375,
920,
- 698,
- 644,
- 138,
- 34,
- 866,
- 831,
- 249,
- 611,
- 672,
- 502,
- 450,
- 225,
- 557,
- 793,
- 244,
- 336,
- 942,
- 604,
- 135,
- 507,
- 328,
- 36,
- 299,
- 769,
- 323,
- 957,
- 171,
- 455,
- 627,
- 701,
- 624,
- 383,
- 354,
+ 254,
675,
- 971,
- 562,
- 945,
- 354,
- 90,
- 495,
- 269,
- 684,
- 468,
- 832,
- 38,
- 189,
- 103,
- 509,
- 754,
- 85,
- 70,
- 727,
- 897,
- 441,
- 745,
- 443,
- 561,
- 23,
- 796,
- 104,
- 178,
- 388,
- 178,
- 663,
- 652,
- 533,
- 738,
- 423,
- 500,
- 390,
- 567,
+ 614,
+ 19,
+ 570,
+ 850,
+ 93,
+ 200,
+ 960,
+ 276,
+ 332,
+ 218,
+ 895,
+ 270,
+ 922,
+ 220,
+ 44,
+ 566,
+ 330,
+ 645,
834,
- 806,
- 97,
- 517,
- 352,
- 636,
- 158,
- 839,
- 822,
- 68,
- 707,
- 838,
- 778,
- 15,
- 201,
- 364,
- 397,
- 166,
- 372,
- 39,
- 525,
- 360,
- 596,
- 664,
- 606,
- 182,
- 684,
- 147,
- 941,
- 695,
- 815,
- 721,
- 377,
- 215,
- 386,
+ 129,
+ 926,
265,
- 598,
- 890,
- 241,
- 302,
- 423,
- 623,
- 610,
- 26,
- 311,
- 887,
- 496,
- 968,
- 549,
- 581,
- 421,
- 638,
- 154,
- 471,
- 768,
- 953,
- 7,
- 906,
+ 78,
+ 975,
+ 822,
+ 300,
+ 394,
+ 731,
+ 917,
+ 89,
+ 136,
894,
- 155,
- 687,
- 813,
- 376,
- 463,
- 815,
- 436,
- 817,
- 5,
- 366,
- 412,
- 435,
- 825,
- 437,
- 614,
+ 441,
+ 681,
+ 144,
+ 867,
+ 157,
+ 759,
+ 432,
+ 830,
+ 252,
+ 929,
+ 784,
+ 702,
+ 572,
+ 753,
+ 887,
+ 697,
437,
- 14,
- 492,
- 117,
- 610,
- 0,
- 837,
- 665,
- 464,
- 847,
- 513,
- 606,
+ 409,
+ 29,
+ 999,
+ 445,
532,
- 503,
- 566,
- 270,
- 559,
- 509,
- 634,
- 339,
- 535,
- 708,
- 663,
- 1,
- 837,
- 508,
- 499,
- 216,
- 758,
- 36,
- 242,
+ 189,
+ 326,
+ 729,
+ 73,
+ 478,
+ 428,
+ 713,
+ 627,
+ 240,
+ 540,
+ 25,
+ 932,
+ 406,
+ 639,
+ 472,
+ 544,
+ 763,
+ 4,
+ 695,
+ 69,
+ 37,
+ 802,
351,
- 432,
+ 865,
+ 169,
+ 17,
439,
- 562,
+ 844,
+ 65,
+ 857,
+ 193,
+ 404,
+ 337,
307,
- 643,
- 498,
- 659,
- 16,
- 265,
- 653,
- 105,
- 527,
- 595,
- 448,
- 832,
- 381,
- 714,
- 533,
- 178,
- 644,
- 455,
- 667,
- 7,
- 378,
- 639,
- 19,
- 50,
- 415,
+ 208,
591,
- 827,
- 956,
- 69,
- 712,
- 767,
- 368,
- 552,
- 230,
+ 658,
+ 515,
+ 761,
+ 162,
+ 528,
+ 15,
+ 34,
+ 416,
+ 831,
+ 937,
+ 67,
+ 495,
+ 765,
288,
- 146,
- 676,
- 651,
- 333,
- 284,
- 782,
- 283,
- 774,
- 791,
- 451,
- 795,
- 991,
- 618,
- 620,
- 547,
- 769,
- 226,
- 563,
- 117,
- 524,
- 287,
- 615,
- 322,
- 41,
- 582,
- 156,
- 664,
- 261,
- 368,
- 702,
- 25,
- 439,
- 382,
- 123,
- 682,
- 970,
- 511,
- 928,
- 870,
- 453,
- 865,
- 724,
- 255,
- 504,
- 567,
- 105,
+ 408,
+ 517,
+ 35,
+ 813,
+ 112,
+ 632,
+ 61,
465,
- 146,
- 349,
- 616,
- 419,
- 389,
- 629,
- 964,
- 482,
- 483,
- 252,
- 183,
- 300,
- 578,
- 255,
- 825,
- 702,
- 650,
- 468,
- 808,
- 939,
- 360,
- 830,
- 281,
- 969,
- 139,
- 488,
- 603,
- 449,
- 731,
- 941,
- 172,
- 643,
- 569,
- 90,
- 966,
- 468,
- 818,
- 249,
- 649,
- 661,
+ 357,
+ 626,
+ 284,
+ 276,
+ 632,
+ 323,
661,
- 955,
- 52,
- 17,
- 364,
- 472,
- 854,
- 154,
- 543,
- 110,
- 327,
- 905,
- 715,
- 940,
- 612,
- 248,
- 634,
- 690,
- 326,
- 622,
- 52,
- 935,
- 244,
- 406,
- 604,
- 351,
- 303,
+ 840,
+ 864,
+ 880,
+ 928,
268,
- 717,
- 247,
- 475,
- 718,
- 835,
- 885,
- 534,
- 842,
- 942,
- 929,
- 713,
- 786,
- 72,
- 122,
- 443,
- 64,
- 512,
- 38,
- 189,
- 552,
- 935,
- 778,
- 832,
- 569,
- 144,
+ 703,
+ 170,
+ 30,
+ 628,
+ 850,
+ 450,
+ 807,
+ 758,
810,
- 634,
- 399,
- 261,
- 918,
- 728,
- 648,
- 340,
- 730,
- 358,
- 496,
+ 128,
+ 992,
+ 760,
+ 603,
+ 34,
+ 910,
+ 884,
+ 937,
+ 737,
+ 521,
+ 61,
+ 394,
+ 0,
+ 504,
+ 868,
+ 85,
+ 294,
+ 997,
+ 251,
+ 532,
+ 499,
+ 596,
+ 594,
+ 744,
+ 606,
+ 709,
928,
- 344,
- 929,
- 572,
- 876,
- 667,
- 933,
- 584,
- 122,
- 739,
- 978,
- 37,
- 250,
- 192,
- 113,
- 763,
- 214,
- 852,
- 365,
- 638,
- 570,
- 82,
- 861,
- 448,
- 649,
- 813,
- 950,
- 843,
- 154,
- 527,
- 12,
- 953,
- 153,
- 311,
- 177,
- 490,
- 754,
- 973,
- 511,
- 777,
- 649,
- 605,
- 311,
- 539,
- 133,
- 245,
- 940,
- 717,
- 851,
- 189,
- 905,
- 410,
- 214,
- 170,
- 983,
- 998,
- 404,
- 599,
- 843,
- 41,
- 955,
- 505,
- 916,
- 947,
- 851,
+ 506,
397,
- 194,
- 288,
- 781,
- 897,
- 546,
- 305,
- 113,
- 356,
- 454,
- 679,
- 774,
- 314,
- 897,
+ 988,
+ 689,
+ 161,
+ 654,
+ 729,
+ 238,
+ 869,
+ 298,
+ 817,
+ 571,
+ 887,
+ 2,
+ 137,
+ 593,
+ 651,
+ 529,
+ 34,
452,
- 169,
- 391,
- 344,
- 880,
- 840,
- 327,
- 404,
- 29,
- 353,
- 688,
- 196,
- 135,
- 860,
- 878,
- 288,
- 523,
- 335,
- 1,
- 680,
- 923,
- 480,
- 108,
- 10,
- 188,
- 165,
- 500,
- 331,
- 668,
- 279,
- 939,
- 797,
- 203,
- 925,
- 768,
- 310,
- 453,
- 213,
- 909,
- 769,
- 136,
- 93,
- 501,
- 926,
- 249,
- 888,
- 591,
- 628,
- 317,
- 668,
- 364,
- 375,
- 951,
- 432,
- 217,
- 765,
- 469,
- 458,
- 25,
- 330,
- 279,
+ 667,
+ 32,
+ 189,
734,
- 995,
- 187,
- 150,
- 739,
- 179,
- 551,
- 844,
- 920,
- 871,
- 906,
- 397,
- 540,
- 376,
- 123,
- 233,
- 19,
- 227,
- 109,
- 158,
- 20,
- 11,
- 899,
- 462,
- 655,
- 837,
- 756,
- 930,
- 580,
- 304,
- 655,
- 419,
- 695,
- 319,
- 496,
- 856,
- 575,
- 700,
- 223,
- 793,
- 462,
- 666,
- 274,
- 967,
- 650,
- 287,
- 521,
+ 121,
+ 473,
+ 675,
+ 594,
+ 264,
+ 492,
+ 402,
+ 437,
+ 640,
+ 141,
+ 528,
+ 351,
+ 740,
+ 326,
+ 613,
+ 640,
+ 50,
+ 104,
+ 433,
+ 613,
+ 470,
+ 125,
+ 671,
+ 81,
+ 155,
+ 209,
69,
- 898,
- 684,
- 759,
- 31,
- 373,
- 515,
- 56,
- 966,
- 971,
- 836,
- 950,
- 94,
- 647,
- 948,
- 766,
- 988,
- 556,
+ 856,
+ 999,
+ 143,
+ 601,
+ 991,
458,
- 415,
- 46,
- 741,
- 519,
- 186,
- 393,
- 409,
- 658,
- 349,
- 833,
- 339,
- 61,
- 250,
- 49,
- 63,
- 503,
- 21,
- 951,
- 809,
- 391,
- 242,
- 739,
- 823,
- 9,
- 548,
- 876,
- 431,
- 920,
- 451,
- 967,
- 291,
- 529,
- 37,
- 133,
- 656,
- 240,
- 981,
+ 120,
+ 169,
+ 839,
+ 667,
+ 566,
+ 119,
+ 713,
+ 943,
+ 646,
+ 559,
+ 755,
223,
- 167,
- 458,
- 624,
- 473,
- 570,
- 942,
- 260,
- 808,
- 16,
- 792,
- 699,
- 537,
- 84,
+ 436,
+ 15,
+ 768,
+ 580,
+ 416,
906,
- 429,
- 728,
- 320,
- 785,
- 301,
- 9,
- 679,
- 882,
- 98,
- 431,
- 223,
- 920,
- 173,
- 895,
- 605,
- 68,
- 698,
- 696,
- 987,
- 855,
- 191,
- 657,
- 533,
- 478,
- 321,
- 846,
- 921,
- 490,
- 278,
- 145,
- 500,
- 274,
- 974,
+ 118,
+ 738,
+ 583,
+ 112,
+ 65,
+ 150,
+ 933,
+ 54,
+ 901,
+ 102,
+ 733,
+ 357,
505,
- 33,
- 936,
- 691,
- 922,
- 140,
- 846,
- 951,
- 745,
- 893,
- 803,
- 316,
- 689,
- 960,
- 509,
- 518,
- 911,
+ 155,
+ 723,
+ 210,
+ 142,
+ 413,
+ 768,
+ 602,
+ 614,
+ 268,
+ 485,
+ 679,
+ 330,
+ 110,
+ 819,
+ 11,
+ 116,
+ 90,
+ 615,
+ 327,
+ 131,
+ 351,
+ 275,
121,
- 12,
- 477,
- 702,
- 94,
- 521,
+ 77,
+ 465,
+ 831,
+ 617,
+ 663,
+ 314,
+ 519,
+ 670,
+ 39,
+ 705,
+ 86,
+ 201,
+ 619,
+ 746,
+ 736,
+ 813,
+ 138,
+ 186,
+ 693,
+ 538,
+ 160,
+ 244,
+ 257,
+ 997,
751,
- 840,
- 492,
- 666,
- 922,
- 714,
- 43,
- 683,
- 871,
- 531,
- 774,
- 137,
- 914,
- 745,
- 722,
- 78,
- 398,
- 384,
+ 157,
+ 512,
+ 253,
536,
- 365,
- 245,
- 807,
- 925,
- 201,
- 917,
- 368,
- 214,
- 246,
- 143,
- 388,
- 937,
- 483,
- 480,
- 793,
- 415,
- 835,
- 554,
- 514,
- 838,
- 655,
- 837,
- 481,
- 483,
- 777,
- 447,
- 963,
- 596,
- 248,
- 819,
- 696,
- 540,
- 163,
+ 433,
+ 87,
333,
- 589,
- 863,
- 603,
- 835,
- 952,
- 253,
- 329,
- 552,
- 207,
- 684,
- 593,
- 618,
- 742,
- 53,
- 90,
- 27,
- 955,
- 217,
- 955,
- 20,
- 520,
- 221,
- 316,
- 45,
- 948,
- 552,
- 110,
- 594,
- 774,
- 517,
- 880,
- 32,
- 575,
- 852,
- 463,
- 685,
- 10,
- 58,
- 945,
- 572,
- 875,
- 633,
- 942,
- 880,
- 426,
- 283,
- 491,
- 848,
- 491,
- 280,
- 412,
+ 881,
+ 784,
+ 102,
1,
- 819,
- 199,
- 190,
- 577,
- 488,
- 936,
- 678,
- 79,
- 317,
- 408,
- 689,
- 353,
- 889,
- 294,
- 561,
- 501,
- 411,
- 554,
- 321,
- 193,
- 748,
- 309,
- 110,
- 454,
- 33,
- 28,
- 193,
- 166,
- 804,
- 710,
- 581,
- 70,
- 726,
- 805,
- 673,
- 751,
- 147,
- 793,
- 395,
- 151,
- 129,
- 143,
- 610,
- 700,
- 590,
- 577,
- 814,
- 104,
- 990,
- 56,
- 254,
- 816,
- 278,
- 108,
- 765,
- 31,
- 208,
- 804,
- 730,
- 960,
- 323,
- 152,
- 202,
- 449,
- 238,
- 907,
- 532,
- 618,
- 377,
- 295,
- 625,
- 252,
- 383,
- 345,
- 46,
- 934,
- 908,
- 851,
- 304,
- 235,
- 623,
- 808,
- 363,
- 80,
- 373,
- 858,
+ 809,
+ 456,
+ 425,
+ 783,
839,
- 385,
- 426,
- 727,
- 615,
- 675,
- 860,
- 602,
- 623,
- 780,
- 246,
- 22,
- 681,
- 623,
- 293,
- 421,
- 908,
- 419,
- 811,
- 631,
- 155,
- 139,
- 861,
- 262,
- 789,
- 344,
- 507,
- 14,
- 445,
- 995,
- 316,
- 74,
- 32,
- 239,
- 932,
- 586,
- 167,
- 578,
- 555,
- 8,
- 720,
- 804,
- 18,
- 185,
- 637,
- 185,
- 21,
- 121,
- 993,
- 457,
- 0,
- 911,
- 330,
- 214,
- 343,
- 600,
- 720,
- 645,
- 542,
- 991,
- 704,
- 261,
+ 55,
+ 78,
+ 51,
481,
- 242,
- 949,
- 909,
- 745,
+ 310,
+ 416,
+ 518,
+ 816,
+ 605,
+ 130,
+ 100,
+ 999,
+ 727,
+ 24,
+ 761,
+ 45,
+ 579,
+ 103,
+ 856,
+ 304,
+ 691,
+ 957,
+ 120,
+ 250,
+ 941,
+ 59,
+ 411,
+ 976,
+ 420,
799,
- 644,
+ 227,
+ 692,
+ 842,
+ 677,
+ 763,
+ 660,
+ 292,
+ 702,
+ 560,
+ 27,
+ 138,
+ 41,
+ 75,
+ 694,
+ 577,
+ 101,
+ 92,
+ 9,
+ 959,
+ 33,
+ 11,
+ 248,
+ 515,
+ 290,
+ 742,
858,
- 132,
- 886,
- 194,
- 886,
- 695,
- 912,
- 980,
- 956,
- 51,
- 885,
- 410,
- 88,
- 578,
- 636,
- 698,
- 636,
- 532,
- 579,
- 389,
- 124,
- 386,
- 54,
- 616,
- 203,
- 838,
- 732,
- 152,
- 775,
- 749,
- 373
+ 294,
+ 900,
+ 107,
+ 567,
+ 890
};
-const int ptr[1001] = {
+const int ptr[501] = {
0,
- 6,
- 18,
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- 9440,
- 9454,
- 9468,
- 9479,
- 9489,
- 9497,
- 9507,
- 9518,
- 9530,
- 9538,
- 9549,
- 9560,
- 9570,
- 9581,
- 9590,
- 9600,
- 9613,
- 9624,
- 9637,
- 9654,
- 9664,
- 9675,
- 9686,
- 9697,
- 9714,
- 9724,
- 9737,
- 9754,
- 9767,
- 9776,
- 9781,
- 9791,
- 9804,
- 9809,
- 9823,
- 9833,
- 9841,
- 9848,
- 9856,
- 9867,
- 9879,
- 9892,
- 9902,
- 9907,
- 9916,
- 9925,
- 9934,
- 9944,
- 9959,
- 9972,
- 9980,
- 9986,
- 9992,
- 10004
+ 4998
};
-const double verify_data[1000] = {
- 1971101,
- 3601995,
- 3608374,
- 3068439,
- 2756891,
- 1644445,
- 2326970,
- 3571797,
- 2167311,
- 3272467,
- 5257490,
- 2287052,
- 5507394,
- 1707471,
- 1181529,
- 2596954,
- 2999820,
- 1456597,
- 1755714,
- 2783599,
- 2224880,
- 953747,
- 1863442,
- 2375479,
- 3838149,
- 1472958,
- 2613759,
- 1412651,
- 2454897,
- 4139599,
- 1540527,
- 2373885,
- 2371153,
- 2496043,
- 2946006,
- 3041837,
- 2102841,
- 3413598,
- 3937131,
- 3428786,
- 2323528,
- 1657458,
- 3358521,
- 1821261,
- 937257,
- 2638848,
- 3351703,
- 2436591,
- 1387045,
- 3372777,
- 4422352,
- 2696491,
- 2775768,
- 1711500,
- 2463910,
- 1906176,
- 2655972,
- 2176802,
- 4025605,
- 1836921,
- 2902963,
- 1950818,
- 2553243,
- 2012524,
- 2449182,
- 1632320,
- 2628093,
- 1093587,
- 3089207,
- 3020390,
- 1485696,
- 1932818,
- 3334949,
- 1610563,
- 2076427,
- 3114683,
- 1548840,
- 3339439,
- 3335032,
- 1366398,
- 1685659,
- 1668385,
- 2510712,
- 2871270,
- 3270369,
- 4311377,
- 1982006,
- 1326681,
- 1381634,
- 398901,
- 3333661,
- 3352243,
- 2878790,
- 1577319,
- 2415255,
- 1191188,
- 3219765,
- 3467850,
- 1940862,
- 2056258,
- 1786527,
- 2278347,
- 2077897,
- 1457888,
- 3707208,
- 1405999,
- 952210,
- 1600564,
- 2343319,
- 1781556,
- 2474389,
- 522450,
- 3674982,
- 3619187,
- 3211390,
- 3586103,
- 1475431,
- 3546147,
- 3698208,
- 2049193,
- 1979189,
- 1111515,
- 2790498,
- 3439083,
- 4279066,
- 2774436,
- 2077245,
- 4390617,
- 3149593,
- 5326535,
- 3848199,
- 2772446,
- 2682304,
- 2277814,
- 1222790,
- 2067874,
- 1982666,
- 2371257,
- 1270393,
- 3228410,
- 2598823,
- 2428645,
- 904561,
- 2100006,
- 2337148,
- 3164102,
- 3908197,
- 1529402,
- 3084375,
- 1927419,
- 3196639,
- 2303890,
- 4265937,
- 2061281,
- 2212135,
- 2407656,
- 1723976,
- 2903704,
- 3276733,
- 1491735,
- 1684162,
- 1307018,
- 1201185,
- 636997,
- 1186016,
- 1774809,
- 2607471,
- 2619840,
- 3493545,
- 3226129,
- 1737347,
- 2380184,
- 1201957,
- 983240,
- 2529069,
- 2689857,
- 3022018,
- 2223714,
- 3625235,
- 3008732,
- 2417998,
- 4428750,
- 2270952,
- 2186948,
- 4812008,
- 2233927,
- 3334976,
- 1264519,
- 1626345,
- 1123879,
- 3098605,
- 4036407,
- 3104973,
- 2897790,
- 3788865,
- 2422217,
- 3611590,
- 1749696,
- 2447434,
- 2977777,
- 1573650,
- 2620107,
- 2319242,
- 2902283,
- 1882200,
- 1787017,
- 2436605,
- 3467551,
- 2413830,
- 187567,
- 2242075,
- 1754385,
- 1836061,
- 4245412,
- 3751015,
- 2715151,
- 1557751,
- 421948,
- 2963355,
- 2050843,
- 1758567,
- 2680768,
- 4076059,
- 4484640,
- 3293151,
- 1433126,
- 1649435,
- 4409656,
- 2223098,
- 2455979,
- 1874200,
- 2098066,
- 4020158,
- 1312572,
- 2801068,
- 3341899,
- 3785087,
- 1569098,
- 2778159,
- 1992179,
- 2669866,
- 1914494,
- 1619868,
- 2274333,
- 1857912,
- 3099797,
- 809499,
- 1679713,
- 3531350,
- 2599926,
- 1970143,
- 2920228,
- 2883295,
- 1394658,
- 3554897,
- 3534392,
- 1625041,
- 1492274,
- 1451033,
- 2248274,
- 2910569,
- 2341827,
- 2768016,
- 3567361,
- 781606,
- 2434644,
- 1782504,
- 4124675,
- 3646132,
- 2864945,
- 512560,
- 3618571,
- 2223074,
- 4315721,
- 1195043,
- 4737421,
- 1748427,
- 3474050,
- 1798506,
- 4916152,
- 2411793,
- 3382242,
- 5132409,
- 810557,
- 4870878,
- 1368859,
- 2955757,
- 1940419,
- 3146202,
- 880792,
- 3448573,
- 1017493,
- 2481321,
- 3652309,
- 3475252,
- 2845994,
- 3182841,
- 5898263,
- 1771223,
- 3346757,
- 2512678,
- 1778448,
- 3432671,
- 2814247,
- 3403195,
- 812303,
- 2104162,
- 85040,
- 989115,
- 1897384,
- 1248980,
- 2002961,
- 1371732,
- 2373820,
- 5178478,
- 1511192,
- 5127654,
- 1468260,
- 2185303,
- 2436412,
- 2978141,
- 2230665,
- 1707852,
- 2529167,
- 1152196,
- 3239187,
- 2498749,
- 2707774,
- 1502699,
- 1633289,
- 2782744,
- 4089832,
- 1548833,
- 1704769,
- 2712629,
- 992084,
- 1369606,
- 2480517,
- 2846051,
- 3100172,
- 2371224,
- 1173652,
- 1837754,
- 3822172,
- 1417367,
- 1538908,
- 1146694,
- 2528965,
- 2800885,
- 3461160,
- 786155,
- 6573509,
- 3071638,
- 1511640,
- 3652853,
- 1475533,
- 1525596,
- 2695806,
- 1277883,
- 3278333,
- 2226936,
- 2030339,
- 3914645,
- 4318373,
- 2059669,
- 3961569,
- 1772074,
- 3135802,
- 1261862,
- 4771438,
- 1587528,
- 2435428,
- 2869031,
- 2629400,
- 1533986,
- 1866116,
- 1203541,
- 2007311,
- 4295134,
- 3082652,
- 2127515,
- 3110833,
- 2895900,
- 4701588,
- 2727753,
- 2324739,
- 2142817,
- 4359375,
- 2762710,
- 2675084,
- 2776056,
- 2906201,
- 2859945,
- 1471060,
- 3224362,
- 2455374,
- 2030195,
- 909337,
- 2716237,
- 2230075,
- 3070171,
- 4476596,
- 2646370,
- 3421732,
- 2163616,
- 4043766,
- 2111374,
- 2016619,
- 1318843,
- 3586217,
- 3000490,
- 2914687,
- 2728187,
- 3496083,
- 3137438,
- 1555757,
- 2975780,
- 864871,
- 3568793,
- 3273559,
- 4362169,
- 1225951,
- 1858409,
- 1867854,
- 2081582,
- 4028493,
- 1772236,
- 2634979,
- 3563733,
- 1734270,
- 2430471,
- 3597625,
- 1010411,
- 1086456,
- 3717761,
- 3038402,
- 1630224,
- 4565438,
- 3347069,
- 2543316,
- 3034145,
- 1190307,
- 3710367,
- 2894919,
- 4122408,
- 1917891,
- 1308296,
- 1847812,
- 2799933,
- 5544619,
- 990734,
- 2302389,
- 2828494,
- 2767749,
- 2734181,
- 1584801,
- 2096227,
- 2132396,
- 1605917,
- 3953389,
- 489065,
- 3370917,
- 1246610,
- 1859633,
- 3905768,
- 2375583,
- 2352791,
- 3066605,
- 3023804,
- 1714567,
- 1630198,
- 3244096,
- 3311209,
- 2837076,
- 1806523,
- 3111912,
- 924345,
- 891749,
- 1710635,
- 2779972,
- 2288984,
- 2104226,
- 2726511,
- 2994247,
- 4159385,
- 927922,
- 3372483,
- 2093351,
- 3228595,
- 1549615,
- 3203118,
- 1566786,
- 2046013,
- 1122663,
- 902592,
- 2101848,
- 633763,
- 1382735,
- 2235887,
- 1595380,
- 1684910,
- 4534882,
- 1927642,
- 3881319,
- 4091228,
- 3489550,
- 1186206,
- 1089968,
- 1673520,
- 2908231,
- 1060251,
- 4422500,
- 2814892,
- 2014163,
- 3954105,
- 2685902,
- 1427353,
- 1040905,
- 2481509,
- 2984177,
- 5050926,
- 1266027,
- 2158372,
- 2317752,
- 4020554,
- 1226253,
- 3034218,
- 3335936,
- 3282626,
- 1782262,
- 3007006,
- 2399815,
- 4116453,
- 1101525,
- 2175742,
- 1919181,
- 1935647,
- 3021439,
- 2975812,
- 1409385,
- 3435714,
- 2843659,
- 2535310,
- 973352,
- 4051148,
- 3198667,
- 3025227,
- 3821291,
- 2634495,
- 1066026,
- 1015860,
- 2374721,
- 1893315,
- 2896157,
- 5768610,
- 4638503,
- 1096525,
- 2521763,
- 201516,
- 1885950,
- 2456554,
- 2395576,
- 1805310,
- 3539192,
- 706652,
- 3652867,
- 1803915,
- 2740108,
- 4902727,
- 2480670,
- 4763486,
- 2831231,
- 2804267,
- 2958655,
- 1180330,
- 1377988,
- 1967048,
- 3251495,
- 3641699,
- 2327118,
- 518996,
- 3627226,
- 4512513,
- 821503,
- 4513458,
- 1746977,
- 3396668,
- 2072470,
- 3064446,
- 4435618,
- 2734309,
- 2193304,
- 4275484,
- 3468741,
- 2498396,
- 3068739,
- 1699359,
- 2816909,
- 2705770,
- 2392503,
- 1288021,
- 2667346,
- 1722567,
- 2924017,
- 3160472,
- 1098169,
- 3756129,
- 5913618,
- 3768712,
- 2089078,
- 2340072,
- 2483109,
- 4368798,
- 2778403,
- 1706517,
- 2503001,
- 2633764,
- 2488649,
- 3759253,
- 1596753,
- 1671868,
- 1377167,
- 2721074,
- 2026518,
- 3148597,
- 1753515,
- 2407030,
- 3191030,
- 3974792,
- 1798541,
- 4805468,
- 2569249,
- 4324091,
- 3385093,
- 745588,
- 2231981,
- 2000465,
- 2339460,
- 3327609,
- 3719613,
- 4276833,
- 1018769,
- 2495582,
- 2942706,
- 2035953,
- 2227503,
- 3631249,
- 2988856,
- 2784977,
- 1822310,
- 4621193,
- 2352625,
- 1249877,
- 1540945,
- 1241921,
- 1994350,
- 5628798,
- 1620488,
- 1897543,
- 952310,
- 1052254,
- 3358187,
- 2994928,
- 2959189,
- 2720309,
- 2875425,
- 2144130,
- 4548462,
- 2048162,
- 1339841,
- 4090958,
- 1862715,
- 1268274,
- 4042390,
- 1581631,
- 2874452,
- 1735445,
- 1588799,
- 1331885,
- 2179684,
- 5179645,
- 1959366,
- 2027198,
- 2755029,
- 2265692,
- 2335785,
- 4348426,
- 1879924,
- 2696539,
- 1106357,
- 2932568,
- 2492358,
- 3120132,
- 3691105,
- 1442767,
- 4534420,
- 2112951,
- 2625910,
- 3375099,
- 1555111,
- 4988419,
- 1174798,
- 1332818,
- 1869705,
- 1696774,
- 1175511,
- 1819161,
- 1548388,
- 1420761,
- 1580164,
- 943541,
- 4405558,
- 2240390,
- 1501984,
- 4062955,
- 3082580,
- 2967491,
- 1152855,
- 3788527,
- 2868984,
- 4078134,
- 3701904,
- 752170,
- 1758523,
- 3256074,
- 2335111,
- 2496969,
- 2165110,
- 2589055,
- 1648006,
- 966763,
- 3719559,
- 4883836,
- 2489406,
- 2900336,
- 1003207,
- 914713,
- 2687415,
- 2957174,
- 991602,
- 3005713,
- 3016805,
- 3646583,
- 2002778,
- 2188117,
- 996416,
- 3940661,
- 3749144,
- 1702093,
- 1779575,
- 2135189,
- 1198463,
- 1665170,
- 1230802,
- 3071243,
- 1250575,
- 1159769,
- 2008716,
- 2577482,
- 1680782,
- 2755046,
- 2798673,
- 2779172,
- 4719731,
- 2451896,
- 2268516,
- 3364116,
- 2139930,
- 4014502,
- 5474835,
- 2379560,
- 3272928,
- 2133308,
- 2638465,
- 3610736,
- 2437161,
- 2469816,
- 1951246,
- 1998282,
- 2022421,
- 2093450,
- 2415039,
- 4011191,
- 2829334,
- 2863331,
- 4093600,
- 2661113,
- 2923200,
- 2198013,
- 2162835,
- 2958211,
- 1829311,
- 750764,
- 1125263,
- 1293794,
- 4883789,
- 1165273,
- 1322292,
- 2045605,
- 1796576,
- 1587215,
- 3595048,
- 2442957,
- 3675117,
- 2022610,
- 2207877,
- 3164247,
- 2539827,
- 2289433,
- 2050621,
- 2033111,
- 2996013,
- 643859,
- 1353849,
- 2284477,
- 1687120,
- 2374034,
- 3975861,
- 3174103,
- 3090405,
- 3004853,
- 1655110,
- 2881453,
- 3229992,
- 3406893,
- 1953384,
- 2162162,
- 3005248,
- 1806960,
- 2262637,
- 2658934,
- 3172203,
- 2346601,
- 2083857,
- 1905139,
- 2243485,
- 1779413,
- 2958736,
- 2324181,
- 1167937,
- 2487352,
- 2195558,
- 2511598,
- 3374057,
- 3239559,
- 3989322,
- 2007874,
- 1142953,
- 1917363,
- 1413284,
- 2254989,
- 2519517,
- 2612721,
- 1979898,
- 1472130,
- 4246577,
- 678823,
- 1032892,
- 1956684,
- 2963972,
- 2501714,
- 3206467,
- 3867577,
- 1866296,
- 1852756,
- 2674353,
- 2068891,
- 2485623,
- 1691978,
- 3224678,
- 2235530,
- 2642436,
- 3528805,
- 3154289,
- 763332,
- 2188687,
- 2175236,
- 3423181,
- 2228774,
- 4926897,
- 4720293,
- 1365097,
- 4384144,
- 1933318,
- 1538742,
- 3060760,
- 891455,
- 2247727,
- 1481978,
- 2009726,
- 3389542,
- 737932,
- 4035426,
- 4661761,
- 1332633,
- 913928,
- 2479290,
- 1992229,
- 2961682,
- 1641167,
- 3217414,
- 3225260,
- 2595246,
- 591918,
- 5566353,
- 2528672,
- 2502651,
- 1241588,
- 2590376,
- 3876970,
- 1793155,
- 1501528,
- 1838442,
- 2522918,
- 2422260,
- 3056321,
- 2273838,
- 2071241,
- 1658722,
- 2562266,
- 1338349,
- 1376886,
- 2223907,
- 1921712,
- 2211260,
- 1602704,
- 5260200,
- 2189077,
- 3019251,
- 2106858,
- 3976347,
- 2463524,
- 1576729,
- 491605,
- 3168168,
- 4672180,
- 1922298,
- 2396219,
- 2857066,
- 3012596,
- 874988,
- 2600192,
- 2197450,
- 1567978,
- 1636166,
- 4334187,
- 2964752,
- 4434709,
- 2753079,
- 2384760,
- 1534463,
- 2112708,
- 2065799,
- 1431116,
- 3960134,
- 2861238,
- 2406750,
- 2744852,
- 2940188,
- 3343790,
- 2451949,
- 2431427,
- 2343771,
- 4247520,
- 2386347,
- 5806313,
- 2995484,
- 3520605,
- 1723394,
- 2278390,
- 4240678,
- 1794433,
- 3515379,
- 4577968,
- 2412014,
- 1533701,
- 733354,
- 2879952,
- 4102595,
- 1847856,
- 1920316,
- 2281251,
- 1136467,
- 2032967,
- 2387741,
- 2059754,
- 3098458,
- 2813846,
- 2264943,
- 1328950,
- 1544527,
- 1143015,
- 2417418,
- 2816076,
- 4485204,
- 2576250,
- 2144794,
- 1827914,
- 1906691,
- 2348923
+const double verify_data[500] = {
+ 1751892,
+ 4022164,
+ 2995301,
+ 1936186,
+ 2246564,
+ 1202307,
+ 2403226,
+ 1665245,
+ 5460723,
+ 2991420,
+ 3189946,
+ 2005088,
+ 2579979,
+ 2016203,
+ 2065819,
+ 1993671,
+ 851952,
+ 2135521,
+ 3528253,
+ 2792868,
+ 1075529,
+ 2502885,
+ 3364671,
+ 2066539,
+ 1126092,
+ 850035,
+ 802328,
+ 2264690,
+ 2378605,
+ 4461773,
+ 1329616,
+ 312081,
+ 1746678,
+ 2141730,
+ 2744934,
+ 1367783,
+ 3595144,
+ 2432898,
+ 4071407,
+ 1302967,
+ 1652018,
+ 2211899,
+ 3912143,
+ 2373635,
+ 2666922,
+ 2038278,
+ 4698422,
+ 1954640,
+ 1563508,
+ 2694611,
+ 3827590,
+ 5206087,
+ 1870941,
+ 966474,
+ 2645084,
+ 2531376,
+ 3163745,
+ 3967912,
+ 3292737,
+ 2492971,
+ 2883924,
+ 1528423,
+ 3145472,
+ 1625261,
+ 2200485,
+ 3632184,
+ 3178738,
+ 1893515,
+ 3126495,
+ 3348716,
+ 1528265,
+ 3525430,
+ 1008772,
+ 2181826,
+ 1833788,
+ 3009546,
+ 3850859,
+ 1929502,
+ 1305357,
+ 3389808,
+ 2443621,
+ 914320,
+ 3097972,
+ 3175599,
+ 1918158,
+ 1956635,
+ 1197144,
+ 3283923,
+ 2362512,
+ 2914914,
+ 1519627,
+ 1082679,
+ 1779165,
+ 1459222,
+ 2562841,
+ 3792210,
+ 3315753,
+ 2428061,
+ 1900458,
+ 2028141,
+ 2355412,
+ 1292213,
+ 1657778,
+ 4938329,
+ 2347809,
+ 1922563,
+ 2178935,
+ 3429211,
+ 1904099,
+ 3797974,
+ 4230001,
+ 4774548,
+ 1692473,
+ 2457473,
+ 2131820,
+ 2246792,
+ 3107036,
+ 2656237,
+ 3099219,
+ 2499844,
+ 2118926,
+ 2890550,
+ 3012532,
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