QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#236161#6504. Flower's Land 2ucup-team1883#AC ✓707ms85224kbC++143.5kb2023-11-03 17:21:372024-11-22 20:39:42

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:39:42]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:707ms
  • 内存:85224kb
  • [2024-11-22 20:26:09]
  • hack成功,自动添加数据
  • (/hack/1243)
  • [2023-11-03 17:21:38]
  • 评测
  • 测评结果:100
  • 用时:667ms
  • 内存:85060kb
  • [2023-11-03 17:21:37]
  • 提交

answer

#include <cstdio>
#include <random>
#include <array>

const int N = 500005, S = 3;
const int Mod = 998244353;

using vec = std::array<int, 2>;
using mat = std::array<vec, 2>;

int pow(int a, int b, int ans = 1);
mat operator*(const mat &a, const mat &b) {
  mat res;
  res[0][0] = (1ll * a[0][0] * b[0][0] + 1ll * a[0][1] * b[1][0]) % Mod;
  res[0][1] = (1ll * a[0][0] * b[0][1] + 1ll * a[0][1] * b[1][1]) % Mod;
  res[1][0] = (1ll * a[1][0] * b[0][0] + 1ll * a[1][1] * b[1][0]) % Mod;
  res[1][1] = (1ll * a[1][0] * b[0][1] + 1ll * a[1][1] * b[1][1]) % Mod;
  return res;
}

namespace Seg {
mat prod[N << 2][3];
int tag[N << 2];

void build(int x, int xl, int xr);
void update(int x, int xl, int xr, int ul, int ur);
mat query(int x, int xl, int xr, int ql, int qr);
}

char ch[N];
std::mt19937 rnd(std::random_device{}());
std::uniform_int_distribution <int> D(1, Mod - 1);
mat mi[N][3];
mat m[3][2];

int main() {
  for (int i = 0; i < S; ++i) {
    while (true) {
      mat &odd = m[i][0];
      odd[0][0] = D(rnd), odd[0][1] = D(rnd), odd[1][0] = D(rnd), odd[1][1] = D(rnd);
      int det = ((1ll * odd[0][0] * odd[1][1] - 1ll * odd[1][0] * odd[0][1]) % Mod + Mod) % Mod;
      if (det == 0) continue;
      int iv = pow(det, Mod - 2);
      mat &even = m[i][1];
      even[0][0] = 1ll * odd[1][1] * iv % Mod;
      even[0][1] = 1ll * (Mod - odd[0][1]) * iv % Mod;
      even[1][0] = 1ll * (Mod - odd[1][0]) * iv % Mod;
      even[1][1] = 1ll * odd[0][0] * iv % Mod;
      break;
    }
  }
  int n, q;
  scanf("%d %d", &n, &q);
  scanf("%s", ch + 1);
  for (int i = 1; i <= n; ++i) {
    int v = ch[i] - '0';
    for (int j = 0; j < S; ++j)
      mi[i][j] = m[(j + v) % 3][i & 1];
  }
  Seg::build(1, 1, n);
  while (q--) {
    int id, l, r;
    scanf("%d %d %d", &id, &l, &r);
    if (id == 1) {
      Seg::update(1, 1, n, l, r);
    } else {
      mat ans = Seg::query(1, 1, n, l, r);
      if (ans[0][0] == 1 && ans[1][1] == 1 && ans[0][1] == 0 && ans[1][0] == 0) {
        puts("Yes");
      } else {
        puts("No");
      }
    }
  }
  return 0;
}

namespace Seg {
void upd(int x) {
  for (int i = 0; i < S; ++i)
    prod[x][i] = prod[x << 1][i] * prod[x << 1 | 1][i];
}
void add(int x, int t) {
  tag[x] += t;
  mat las[3] = {prod[x][0], prod[x][1], prod[x][2]};
  for (int i = 0; i < S; ++i)
    prod[x][i] = las[(i + t) % 3];
}
void pushdown(int x) {
  if (tag[x]) {
    add(x << 1, tag[x]);
    add(x << 1 | 1, tag[x]);
    tag[x] = 0;
  }
}
void build(int x, int xl, int xr) {
  tag[x] = 0;
  if (xl == xr) {
    for (int i = 0; i < S; ++i)
      prod[x][i] = mi[xl][i];
    return;
  }
  int xm = (xl + xr) >> 1;
  build(x << 1, xl, xm), build(x << 1 | 1, xm + 1, xr);
  upd(x);
}
void update(int x, int xl, int xr, int ul, int ur) {
  if (ul <= xl && xr <= ur) {
    add(x, 1);
    return;
  }
  pushdown(x);
  int xm = (xl + xr) >> 1;
  if (ul <= xm) update(x << 1, xl, xm, ul, ur);
  if (ur > xm) update(x << 1 | 1, xm + 1, xr, ul, ur);
  upd(x);
}
mat query(int x, int xl, int xr, int ql, int qr) {
  if (ql <= xl && xr <= qr) {
    return prod[x][0];
  }
  pushdown(x);
  int xm = (xl + xr) >> 1;
  mat e;
  e[0][0] = e[1][1] = 1, e[1][0] = e[0][1] = 0;
  if (ql <= xm) e = e * query(x << 1, xl, xm, ql, qr);
  if (qr > xm) e = e * query(x << 1 | 1, xm + 1, xr, ql, qr);
  return e;
}
}

int pow(int a, int b, int ans) {
  while (b) {
    if (b & 1) ans = 1ll * ans * a % Mod;
    a = 1ll * a * a % Mod;
    b >>= 1;
  }
  return ans;
}

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: 1ms
memory: 8052kb

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: 196ms
memory: 9884kb

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

result:

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

Test #3:

score: 0
Accepted
time: 188ms
memory: 7784kb

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

result:

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

Test #4:

score: 0
Accepted
time: 299ms
memory: 9824kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

output:

No
No
No
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...

result:

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

Test #5:

score: 0
Accepted
time: 295ms
memory: 8096kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

output:

No
No
No
No
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No
No
No
No
No
No
...

result:

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

Test #6:

score: 0
Accepted
time: 707ms
memory: 83568kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #7:

score: 0
Accepted
time: 703ms
memory: 84744kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
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No
...

result:

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

Test #8:

score: 0
Accepted
time: 706ms
memory: 83100kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
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No
...

result:

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

Test #9:

score: 0
Accepted
time: 450ms
memory: 84992kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

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

result:

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

Test #10:

score: 0
Accepted
time: 427ms
memory: 83828kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

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

result:

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

Test #11:

score: 0
Accepted
time: 553ms
memory: 84212kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

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

result:

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

Test #12:

score: 0
Accepted
time: 578ms
memory: 84592kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

No
No
No
No
No
No
No
No
No
No
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No
...

result:

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

Test #13:

score: 0
Accepted
time: 604ms
memory: 83372kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
No
No
No
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No
No
No
...

result:

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

Test #14:

score: 0
Accepted
time: 583ms
memory: 84288kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

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

result:

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

Test #15:

score: 0
Accepted
time: 595ms
memory: 83580kb

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: 685ms
memory: 84688kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
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No
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Yes
No
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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: 681ms
memory: 83204kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
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No
Yes
Yes
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Yes
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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: 690ms
memory: 83876kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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Yes
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Yes
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Yes
No
Yes
No
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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: 687ms
memory: 83880kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
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No
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Yes
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Yes
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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: 669ms
memory: 83828kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
No
Yes
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Yes
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Yes
Yes
No
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Yes
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No
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Yes
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Yes
Yes
Yes
No
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Yes
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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: 645ms
memory: 84552kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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No
Yes
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Yes
Yes
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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: 633ms
memory: 84300kb

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
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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: 490ms
memory: 82964kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

No
No
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result:

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

Test #24:

score: 0
Accepted
time: 512ms
memory: 83516kb

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: 532ms
memory: 84596kb

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: 562ms
memory: 83828kb

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: 553ms
memory: 83484kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

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: 524ms
memory: 84644kb

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: 512ms
memory: 84616kb

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: 526ms
memory: 83608kb

input:

500000 500000
1202021012101201201021212121212121201212121012102020120210101212101201212020101020101210101212120201010201201021202121202020201201202010210120201202121010121010102102121010121021212021202021021202120102101202102020210102120202020212120202120212021020121212020102120121012120201202120121...

output:

No
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: 495ms
memory: 85224kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

No
No
No
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Yes
Yes
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Yes
No
Yes
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No
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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