QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#138266#6504. Flower's Land 2ClHg2AC ✓934ms103868kbC++143.7kb2023-08-11 11:52:452024-11-22 20:34:47

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:34:47]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:934ms
  • 内存:103868kb
  • [2024-11-22 20:26:09]
  • hack成功,自动添加数据
  • (/hack/1243)
  • [2023-08-11 11:52:47]
  • 评测
  • 测评结果:100
  • 用时:889ms
  • 内存:103588kb
  • [2023-08-11 11:52:45]
  • 提交

answer

#include <algorithm>
#include <cassert>
#include <cstdint>
#include <cstdio>
#include <iostream>
#include <string>

namespace {
using std::cin;
using std::cout;
using std::int64_t;

const int kP = 1.0e9 + 7;

namespace mod {
inline int FixDown(int x) { return x >= kP ? x - kP : x; }
inline int FixUp(int x) { return x + (x >> 31 & kP); }
inline void Add(int &x, int y) { x = FixDown(x + y); }
inline void Sub(int &x, int y) { x = FixUp(x - y); }
}  // namespace mod

struct Matrix {
  int a[2][2];
  Matrix() { a[0][0] = a[0][1] = a[1][0] = a[1][1] = 0; }

  Matrix(int a00, int a01, int a10, int a11) {
    a[0][0] = a00, a[0][1] = a01, a[1][0] = a10, a[1][1] = a11;
  }

  int operator()(int x, int y) const { return a[x][y]; }
  int &operator()(int x, int y) { return a[x][y]; }
};

bool operator==(const Matrix &a, const Matrix &b) {
  return a(0, 0) == b(0, 0) && a(0, 1) == b(0, 1) && a(1, 0) == b(1, 0) &&
         a(1, 1) == b(1, 1);
}

Matrix operator*(const Matrix &a, const Matrix &b) {
  Matrix ans;

  for (int i = 0; i < 2; ++i) {
    for (int j = 0; j < 2; ++j) {
      for (int k = 0; k < 2; ++k) {
        mod::Add(ans(i, k), int64_t{a(i, j)} * b(j, k) % kP);
      }
    }
  }

  return ans;
}

const Matrix kA[3] = {{55137393, 124721591, 516419127, 161648301},
                      {743364607, 275616217, 591343241, 413816712},
                      {955213219, 140433617, 882195051, 716407118}};

const Matrix kInvA[3] = {{55106935, 26982396, 538235082, 665987380},
                         {439606892, 814283157, 91200555, 49480163},
                         {913182781, 926757754, 659186055, 841996077}};

const Matrix kI = {1, 0, 0, 1};
const int kMaxN = 5.0e5 + 5;
int n, m;
std::string s;

namespace segment_tree {
const int kMaxM = kMaxN * 4;
int tag[kMaxM];
Matrix prod[kMaxM][3];

void PushUp(int p) {
  for (int i = 0; i < 3; ++i) {
    prod[p][i] = prod[p << 1][i] * prod[p << 1 | 1][i];
  }
}

void Build(int p, int l, int r) {
  if (l == r) {
    int x = s[l] - '0';

    if (l & 1) {
      for (int i = 0; i < 3; ++i) prod[p][i] = kInvA[(i + x) % 3];
    } else {
      for (int i = 0; i < 3; ++i) prod[p][i] = kA[(i + x) % 3];
    }

    return;
  }

  int mid = (l + r) >> 1;
  Build(p << 1, l, mid), Build(p << 1 | 1, mid + 1, r);
  PushUp(p);
}

void Build() { Build(1, 1, n); }

void ShiftAll(int p, int x) {
  std::rotate(prod[p], prod[p] + x % 3, prod[p] + 3);
  tag[p] += x;
}

void PushDown(int p) {
  if (!tag[p]) return;
  ShiftAll(p << 1, tag[p]), ShiftAll(p << 1 | 1, tag[p]);
  tag[p] = 0;
}

void Shift(int p, int l, int r, int L, int R) {
  if (L <= l && R >= r) {
    ShiftAll(p, 1);
    return;
  }

  int mid = (l + r) >> 1;
  PushDown(p);
  if (L <= mid) Shift(p << 1, l, mid, L, R);
  if (R > mid) Shift(p << 1 | 1, mid + 1, r, L, R);
  PushUp(p);
}

void Shift(int l, int r) { Shift(1, 1, n, l, r); }

Matrix Query(int p, int l, int r, int L, int R) {
  if (L <= l && R >= r) return prod[p][0];
  int mid = (l + r) >> 1;
  PushDown(p);
  if (R <= mid) return Query(p << 1, l, mid, L, R);
  if (L > mid) return Query(p << 1 | 1, mid + 1, r, L, R);
  return Query(p << 1, l, mid, L, R) * Query(p << 1 | 1, mid + 1, r, L, R);
}

Matrix Query(int l, int r) { return Query(1, 1, n, l, r); }
}  // namespace segment_tree
}  // namespace

int main() {
  cin.tie(nullptr);
  std::ios::sync_with_stdio(false);
  cin >> n >> m >> s, s = ' ' + s;
  segment_tree::Build();

  while (m--) {
    int op, l, r;
    cin >> op >> l >> r;

    if (op == 1) {
      segment_tree::Shift(l, r);
    } else {
      cout << (segment_tree::Query(l, r) == kI ? "Yes" : "No") << "\n";
    }
  }

  return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 97828kb

input:

8 9
01211012
2 4 5
2 3 6
1 6 8
1 6 8
2 3 6
2 1 8
1 1 1
1 7 7
2 1 8

output:

Yes
No
Yes
No
Yes

result:

ok 5 token(s): yes count is 3, no count is 2

Test #2:

score: 0
Accepted
time: 234ms
memory: 97992kb

input:

100 500000
0011010001000000000110011111000010100111000010101100101001111000001101001000100111101000110000011011
1 6 55
1 7 84
2 62 79
2 59 62
1 59 66
2 10 13
1 25 67
2 33 88
1 7 11
2 72 81
2 71 90
1 15 38
2 3 100
2 59 76
1 13 83
2 11 46
2 25 52
1 25 55
1 35 42
1 19 87
1 26 86
2 83 94
1 27 74
2 42 47...

output:

No
No
No
No
No
No
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Yes
No
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N...

result:

ok 248102 token(s): yes count is 9322, no count is 238780

Test #3:

score: 0
Accepted
time: 235ms
memory: 98028kb

input:

100 500000
0210102000201220021100220012101022120002221021222001012101121221021110012101010200020222021101002100
2 8 69
2 37 98
2 13 22
2 20 25
2 16 89
1 47 61
1 1 70
2 19 68
1 31 91
2 6 39
2 16 51
2 44 57
2 24 27
1 25 64
1 20 59
1 18 98
2 45 66
1 2 75
2 16 89
2 85 96
1 12 45
1 9 22
1 66 87
2 13 30
2...

output:

No
No
No
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Yes
No
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N...

result:

ok 250664 token(s): yes count is 9342, no count is 241322

Test #4:

score: 0
Accepted
time: 382ms
memory: 98908kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

output:

No
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...

result:

ok 250675 token(s): yes count is 988, no count is 249687

Test #5:

score: 0
Accepted
time: 390ms
memory: 99064kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

output:

No
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...

result:

ok 248104 token(s): yes count is 1037, no count is 247067

Test #6:

score: 0
Accepted
time: 934ms
memory: 102532kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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Yes
N...

result:

ok 248044 token(s): yes count is 37, no count is 248007

Test #7:

score: 0
Accepted
time: 917ms
memory: 102716kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

No
No
No
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...

result:

ok 250747 token(s): yes count is 1, no count is 250746

Test #8:

score: 0
Accepted
time: 925ms
memory: 102184kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
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...

result:

ok 248066 token(s): yes count is 2, no count is 248064

Test #9:

score: 0
Accepted
time: 503ms
memory: 103244kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

Yes
No
Yes
No
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Yes
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Yes
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Yes
Yes
N...

result:

ok 249864 token(s): yes count is 25722, no count is 224142

Test #10:

score: 0
Accepted
time: 516ms
memory: 103252kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
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Yes
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Yes
No
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No
No
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No...

result:

ok 250064 token(s): yes count is 16110, no count is 233954

Test #11:

score: 0
Accepted
time: 494ms
memory: 102800kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

No
No
Yes
No
Yes
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Yes
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Yes
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No
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No
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Yes
No
Yes
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No
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Yes
No
No...

result:

ok 499764 token(s): yes count is 13197, no count is 486567

Test #12:

score: 0
Accepted
time: 491ms
memory: 102408kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

No
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...

result:

ok 499741 token(s): yes count is 4, no count is 499737

Test #13:

score: 0
Accepted
time: 556ms
memory: 102584kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
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...

result:

ok 495082 token(s): yes count is 25440, no count is 469642

Test #14:

score: 0
Accepted
time: 545ms
memory: 103272kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
Yes
Yes
No
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Yes
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N...

result:

ok 495214 token(s): yes count is 25405, no count is 469809

Test #15:

score: 0
Accepted
time: 571ms
memory: 101772kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
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...

result:

ok 495041 token(s): yes count is 26778, no count is 468263

Test #16:

score: 0
Accepted
time: 895ms
memory: 103812kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
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Yes
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No
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Yes
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Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
No
No
Y...

result:

ok 251625 token(s): yes count is 167813, no count is 83812

Test #17:

score: 0
Accepted
time: 883ms
memory: 103044kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
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No
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Yes
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Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
...

result:

ok 251611 token(s): yes count is 167452, no count is 84159

Test #18:

score: 0
Accepted
time: 865ms
memory: 103688kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
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Yes
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Yes
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Yes
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Yes
Yes
No
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Yes
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Yes
Yes
Yes
Yes
No
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Yes
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Yes
No
Yes
No
No
No
Yes
Yes
No
Yes
No
Yes...

result:

ok 251639 token(s): yes count is 167829, no count is 83810

Test #19:

score: 0
Accepted
time: 891ms
memory: 103244kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
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Yes
Yes
Yes
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Yes
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No
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Yes
Yes
No
Yes
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Yes
No
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Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
...

result:

ok 249959 token(s): yes count is 166274, no count is 83685

Test #20:

score: 0
Accepted
time: 880ms
memory: 102512kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
No
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
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No
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Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
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Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
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Yes
Yes
Yes
Yes
Yes
No
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Yes
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Yes
No
Yes
Yes
Yes
Yes
No
No
No
Yes
No
Yes
No
Yes
Yes
Yes
Yes
...

result:

ok 251590 token(s): yes count is 167841, no count is 83749

Test #21:

score: 0
Accepted
time: 837ms
memory: 101628kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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Yes
No
Yes
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No
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Yes
Yes
No
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Yes
Yes
Yes
Yes
Yes
Yes
No
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Yes
Yes
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No
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Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Ye...

result:

ok 249944 token(s): yes count is 167276, no count is 82668

Test #22:

score: 0
Accepted
time: 812ms
memory: 103000kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
Yes
Yes
Yes
Yes
Yes
No
No
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Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
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Yes
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Yes
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Yes
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Yes
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Yes
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Yes
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Yes
No
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Yes
No
Yes
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Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
...

result:

ok 249967 token(s): yes count is 168649, no count is 81318

Test #23:

score: 0
Accepted
time: 595ms
memory: 102724kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

No
No
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No...

result:

ok 249676 token(s): yes count is 13, no count is 249663

Test #24:

score: 0
Accepted
time: 603ms
memory: 102880kb

input:

500000 500000
1210202120021202012120120201011010202102012121010110101212102021020201102020120212121021211212012121202101210220121012021201212120021212102121010121200212101012021012020220202101202120212101101212021201020212022021202010120102121001212010210102021020020120201012121010200201012121012010...

output:

No
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...

result:

ok 249788 token(s): yes count is 13, no count is 249775

Test #25:

score: 0
Accepted
time: 645ms
memory: 102164kb

input:

500000 500000
1021201212020202010212020120120201212012010212121221212120102102121020210210202120102020202121021201201010121210121010202020202010120121010102120101200210102120101012102101020202020201012101212101010212121210120212101012021021020102121201212020201010010102020212102121201020120120210101...

output:

No
No
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...

result:

ok 249720 token(s): yes count is 21, no count is 249699

Test #26:

score: 0
Accepted
time: 672ms
memory: 103384kb

input:

500000 500000
2102012102020210212121020120121010120121012012021010212101212102012010201212121012101210212102102120210201020121012021201021012010212021210202012010212020102121202021202121012121021010120210210202021212020212120121202012101201201012021212101210120101020201020121020210121020212012021212...

output:

No
No
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N...

result:

ok 248946 token(s): yes count is 159, no count is 248787

Test #27:

score: 0
Accepted
time: 673ms
memory: 103868kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

No
No
No
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Yes
Yes
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N...

result:

ok 249807 token(s): yes count is 383, no count is 249424

Test #28:

score: 0
Accepted
time: 678ms
memory: 101900kb

input:

500000 500000
2120201021210101202021201212120202021010102021010212020102101010201021010201201012010101210101212012102102101010212102121202102010212120212102020212020121012012021020101210102012102021012121010121020101010210201021201021201201020202010202012020201201210101021010101202021020121202012020...

output:

No
No
No
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...

result:

ok 248859 token(s): yes count is 994, no count is 247865

Test #29:

score: 0
Accepted
time: 663ms
memory: 102256kb

input:

500000 500000
1021012012010212010210120121012010120202102120202121021021202012121020201021202012120121201202021021020121012101201010101212120201212020120101210210202010210102102102021212021202120212121201201210201210102010120202021212121010121201021021202102020102121202010212020121020210212120212012...

output:

No
No
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...

result:

ok 248886 token(s): yes count is 2083, no count is 246803

Test #30:

score: 0
Accepted
time: 678ms
memory: 102968kb

input:

500000 500000
1202021012101201201021212121212121201212121012102020120210101212101201212020101020101210101212120201010201201021202121202020201201202010210120201202121010121010102102121010121021212021202021021202120102101202102020210102120202020212120202120212021020121212020102120121012120201202120121...

output:

No
No
No
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Yes
No
No
No
...

result:

ok 248858 token(s): yes count is 4672, no count is 244186

Test #31:

score: 0
Accepted
time: 468ms
memory: 100632kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

No
No
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Yes
Yes
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Yes
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No
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No...

result:

ok 437390 token(s): yes count is 73249, no count is 364141

Extra Test:

score: 0
Extra Test Passed