QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#122497#6504. Flower's Land 2ftt2333AC ✓655ms61632kbC++142.9kb2023-07-10 16:51:352024-11-22 20:29:31

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:29:31]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:655ms
  • 内存:61632kb
  • [2024-11-22 20:26:09]
  • hack成功,自动添加数据
  • (/hack/1243)
  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-10 16:51:37]
  • 评测
  • 测评结果:100
  • 用时:651ms
  • 内存:61224kb
  • [2023-07-10 16:51:35]
  • 提交

answer

/*
* @Author: ftt2333
* @Email: [email protected]
* @LastEditTime: 2023-07-10 16:51:09
*/

#include <bits/stdc++.h>
using namespace std;

constexpr int maxn = 5e5 + 10, mod = 1011451423;
int n, q;
char a[maxn];
mt19937 rnd(random_device{}());
uniform_int_distribution<int> range(0, mod - 1);

struct mat {
  int a00, a01, a10, a11;
  mat() {}
  mat(int a, int b, int c, int d) : a00(a), a01(b), a10(c), a11(d) {}
  mat operator*(const mat &rhs) const {
    return mat(
      (1ll * a00 * rhs.a00 + 1ll * a01 * rhs.a10) % mod,
      (1ll * a00 * rhs.a01 + 1ll * a01 * rhs.a11) % mod,
      (1ll * a10 * rhs.a00 + 1ll * a11 * rhs.a10) % mod,
      (1ll * a10 * rhs.a01 + 1ll * a11 * rhs.a11) % mod
    );
  }
  bool operator!=(const mat &rhs) const {
    return (a00 != rhs.a00) || (a01 != rhs.a01) ||
           (a10 != rhs.a10) || (a11 != rhs.a11);
  }
} E1(1, 0, 0, 1);

mat qpow(mat a, int b) {
  mat res = E1;
  for (; b; b >>= 1, a = a * a)
    if (b & 1) res = res * a;
  return res;
}

mat gen() {
  mat res = mat(range(rnd), range(rnd), range(rnd), range(rnd));;
  while (qpow(res, mod - 1) != E1) {
    res = mat(range(rnd), range(rnd), range(rnd), range(rnd));
  }
  return res;
}

mat base[3], inv[3];
mat t[maxn << 2][3];
int lz[maxn << 2];

#define lc (x << 1)
#define rc (x << 1 | 1)
#define mid (l + r >> 1)

void cg(int x, int v) {
  if (!v) return;
  if (v == 1) {
    swap(t[x][0], t[x][2]);
    swap(t[x][0], t[x][1]);
  } else {
    swap(t[x][0], t[x][2]);
    swap(t[x][1], t[x][2]);
  }
  lz[x] = (lz[x] + v) % 3;
}
void down(int x) {
  cg(lc, lz[x]), cg(rc, lz[x]);
  lz[x] = 0;
}
void up(int x) {
  for (int i = 0; i < 3; ++i) {
    t[x][i] = t[lc][i] * t[rc][i];
  }
}

void upd(int x, int l, int r, int a, int b, int v) {
  if (a > r || l > b) return;
  if (a <= l && r <= b) return cg(x, v);
  down(x);
  upd(lc, l, mid, a, b, v);
  upd(rc, mid + 1, r, a, b, v);
  up(x);
}
mat query(int x, int l, int r, int a, int b) {
  if (a > r || l > b) return E1;
  if (a <= l && r <= b) return t[x][0];
  down(x);
  return query(lc, l, mid, a, b) * query(rc, mid + 1, r, a, b);
}

void build(int x, int l, int r) {
  if (l == r) {
    if (l & 1) {
      for (int i = 0; i < 3; ++i) {
        t[x][i] = base[(a[l] - '0' + i) % 3];
      }
    } else {
      for (int i = 0; i < 3; ++i) {
        t[x][i] = inv[(a[l] - '0' + i) % 3];
      }
    }
    return;
  }
  build(lc, l, mid), build(rc, mid + 1, r);
  up(x);
}

int main() {
#ifndef LOCAL
  cin.tie(nullptr)->sync_with_stdio(false);
#endif
  cin >> n >> q;
  for (int i = 0; i < 3; ++i) {
    base[i] = gen(), inv[i] = qpow(base[i], mod - 2);
  }
  cin >> a + 1;
  build(1, 1, n);
  for (int i = 1; i <= q; ++i) {
    int op, l, r;
    cin >> op >> l >> r;
    if (op == 1) {
      upd(1, 1, n, l, r, 1);
    } else {
      cout << ((query(1, 1, n, l, r) != E1) ? "NO" : "YES") << '\n';
    }
  }
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5560kb

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: 176ms
memory: 5928kb

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
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
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: 174ms
memory: 5692kb

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
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
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: 270ms
memory: 7672kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #5:

score: 0
Accepted
time: 272ms
memory: 7936kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
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: 655ms
memory: 59420kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
NO
YES
YES
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
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: 651ms
memory: 61056kb

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
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #8:

score: 0
Accepted
time: 642ms
memory: 59420kb

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
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #9:

score: 0
Accepted
time: 427ms
memory: 59352kb

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
NO
NO
NO
YES
NO
NO
NO
YES
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
YES
NO
YES
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
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: 424ms
memory: 59300kb

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
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
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: 492ms
memory: 61096kb

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
NO
NO
NO
YES
NO
YES
NO
YES
NO
YES
NO
YES
YES
NO
YES
YES
YES
NO
YES
NO
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
YES
YES
NO
YES
YES
YES
NO
NO
NO
YES
YES
NO
YES
YES
NO
NO
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: 493ms
memory: 61252kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #13:

score: 0
Accepted
time: 537ms
memory: 59660kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #14:

score: 0
Accepted
time: 533ms
memory: 59616kb

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
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
N...

result:

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

Test #15:

score: 0
Accepted
time: 514ms
memory: 59660kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #16:

score: 0
Accepted
time: 637ms
memory: 61348kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
YES
YES
YES
YES
YES
YES
NO
NO
YES
YES
NO
NO
NO
NO
NO
YES
NO
NO
YES
YES
YES
NO
YES
YES
NO
NO
YES
NO
YES
NO
YES
YES
NO
NO
NO
NO
YES
YES
YES
YES
NO
YES
YES
YES
NO
NO
NO
YES
NO
YES
YES
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
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: 625ms
memory: 59644kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
YES
YES
YES
YES
NO
YES
YES
YES
NO
YES
NO
NO
NO
YES
YES
NO
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
YES
NO
YES
YES
NO
YES
YES
YES
YES
YES
NO
NO
YES
NO
YES
YES
YES
YES
NO
YES
YES
NO
YES
NO
YES
YES
YES
YES
NO
NO
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: 617ms
memory: 61380kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
NO
NO
YES
YES
NO
YES
YES
YES
NO
NO
YES
NO
YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
NO
YES
NO
NO
NO
YES
NO
NO
NO
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: 612ms
memory: 59412kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
NO
YES
YES
YES
YES
NO
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
NO
NO
YES
YES
YES
YES
YES
YES
NO
YES
YES
NO
NO
YES
NO
NO
YES
NO
NO
NO
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: 601ms
memory: 59416kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
YES
YES
YES
NO
YES
NO
NO
YES
NO
YES
YES
YES
YES
YES
NO
YES
YES
NO
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
NO
YES
NO
YES
YES
YES
YES
NO
YES
YES
YES
YES
YES
NO
NO
NO
NO
NO
NO
YES
YES
YES
YES
YES
NO
NO
YES
YES
NO
NO
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: 590ms
memory: 59580kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

YES
NO
YES
YES
YES
YES
NO
YES
YES
NO
NO
NO
YES
YES
YES
NO
YES
YES
YES
NO
YES
YES
NO
NO
NO
YES
YES
YES
YES
YES
YES
YES
NO
NO
YES
YES
NO
YES
NO
NO
YES
YES
YES
YES
YES
YES
YES
YES
NO
NO
YES
YES
NO
YES
YES
NO
YES
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: 560ms
memory: 59364kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

NO
YES
YES
YES
YES
YES
NO
NO
NO
YES
YES
YES
YES
NO
YES
YES
YES
YES
NO
YES
YES
YES
NO
YES
YES
YES
NO
NO
YES
YES
YES
NO
YES
NO
YES
YES
YES
NO
YES
YES
YES
NO
YES
NO
NO
YES
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
NO
YES
YES
NO
YES
YES
YES
NO
YES
YES
NO
YES
NO
YES
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: 453ms
memory: 59364kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

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

Test #24:

score: 0
Accepted
time: 468ms
memory: 61212kb

input:

500000 500000
1210202120021202012120120201011010202102012121010110101212102021020201102020120212121021211212012121202101210220121012021201212120021212102121010121200212101012021012020220202101202120212101101212021201020212022021202010120102121001212010210102021020020120201012121010200201012121012010...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #25:

score: 0
Accepted
time: 498ms
memory: 59356kb

input:

500000 500000
1021201212020202010212020120120201212012010212121221212120102102121020210210202120102020202121021201201010121210121010202020202010120121010102120101200210102120101012102101020202020201012101212101010212121210120212101012021021020102121201212020201010010102020212102121201020120120210101...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #26:

score: 0
Accepted
time: 489ms
memory: 59352kb

input:

500000 500000
2102012102020210212121020120121010120121012012021010212101212102012010201212121012101210212102102120210201020121012021201021012010212021210202012010212020102121202021202121012121021010120210210202021212020212120121202012101201201012021212101210120101020201020121020210121020212012021212...

output:

NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
N...

result:

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

Test #27:

score: 0
Accepted
time: 506ms
memory: 61632kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

NO
NO
NO
NO
NO
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
N...

result:

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

Test #28:

score: 0
Accepted
time: 480ms
memory: 59352kb

input:

500000 500000
2120201021210101202021201212120202021010102021010212020102101010201021010201201012010101210101212012102102101010212102121202102010212120212102020212020121012012021020101210102012102021012121010121020101010210201021201021201201020202010202012020201201210101021010101202021020121202012020...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #29:

score: 0
Accepted
time: 476ms
memory: 61152kb

input:

500000 500000
1021012012010212010210120121012010120202102120202121021021202012121020201021202012120121201202021021020121012101201010101212120201212020120101210210202010210102102102021212021202120212121201201210201210102010120202021212121010121201021021202102020102121202010212020121020210212120212012...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

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

Test #30:

score: 0
Accepted
time: 474ms
memory: 59272kb

input:

500000 500000
1202021012101201201021212121212121201212121012102020120210101212101201212020101020101210101212120201010201201021202121202020201201202010210120201202121010121010102102121010121021212021202021021202120102101202102020210102120202020212120202120212021020121212020102120121012120201202120121...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
...

result:

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

Test #31:

score: 0
Accepted
time: 421ms
memory: 57308kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
YES
NO
NO
YES
NO
YES
NO
YES
NO
NO
YES
YES
NO
YES
YES
YES
NO
YES
YES
YES
NO
NO
NO
NO
NO
YES
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

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

Extra Test:

score: 0
Extra Test Passed