QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#108687#6504. Flower's Land 2keainieAC ✓935ms59036kbC++174.5kb2023-05-26 09:40:182024-11-22 20:26:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:26:52]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:935ms
  • 内存:59036kb
  • [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.
  • [2023-05-26 09:40:20]
  • 评测
  • 测评结果:100
  • 用时:964ms
  • 内存:55424kb
  • [2023-05-26 09:40:18]
  • 提交

answer

// 
#include <bits/stdc++.h>
using namespace std;
#define debug(...) fprintf (stderr, __VA_ARGS__)

typedef long long ll;
typedef __int128 i128;

#define fi first
#define se second
#define lep(i, l, r) for (int i = (l), i##_end = (r); i <= i##_end; ++ i)
#define rep(i, r, l) for (int i = (r), i##_end = (l); i >= i##_end; -- i)

char _c; bool _f; template <class T> inline void IN (T & x) {
	x = 0, _f = 0; while (_c = getchar (), ! isdigit (_c)) if (_c == '-') _f = 1;
	while (isdigit (_c)) x = x * 10 + _c - '0', _c = getchar (); if (_f) x = - x;
}

const int mod = 998244353;
const int inv2 = (mod + 1) >> 1;

inline int mul (int x, int y) { return 1ll * x * y % mod; }
inline int qpow (int x, int y, int r = 1) { for ( ; y; y >>= 1, x = mul (x, x)) if (y & 1) r = mul (r, x); return r; }

inline void sub (int &x, int y) { x -= y; if (x < 0) x += mod; }
inline void pls (int &x, int y) { x += y; if (x >= mod) x -= mod; }

inline int dec (int x, int y) { x -= y; if (x < 0) x += mod; return x; }
inline int add (int x, int y) { x += y; if (x >= mod) x -= mod; return x; }

template <class T> inline void chkmin (T & x, T y) { if (x > y) x = y; }
template <class T> inline void chkmax (T & x, T y) { if (x < y) x = y; }

mt19937 seed (time (0));
uniform_int_distribution <> rnd (0, mod - 1);

// {{{ matrix

const int K = 2;
#define Lep(i, l, r) for (int i = (l), i##_end = (r); i < i##_end; ++ i)

struct matrix {
	int _[K][K];
	inline int * operator [] (int x) & { return _[x]; }
};

inline void zero (matrix & a) { Lep (i, 0, K) Lep (j, 0, K) a[i][j] = 0; }
inline void one (matrix & a) { Lep (i, 0, K) Lep (j, 0, K) a[i][j] = i == j; }
inline void random (matrix & a) { Lep (i, 0, K) Lep (j, 0, K) a[i][j] = rnd (seed); }

inline bool g_inv (matrix a, matrix & b) {
	one (b); Lep (i, 0, K) {
		int p = -1; Lep (j, i, K) if (a[j][i]) { p = j; break ; }
		if (! ~ p) return false;
		if (p != i) swap (a._[i], a._[p]), swap (b._[i], b._[p]);

		int inv = qpow (a[i][i], mod - 2);
		Lep (j, 0, K) if (j != i) {
			int buf = mul (inv, a[j][i]);
			Lep (k, 0, K) sub (a[j][k], mul (a[i][k], buf));
			Lep (k, 0, K) sub (b[j][k], mul (b[i][k], buf));
		}
		Lep (k, 0, K) a[i][k] = mul (a[i][k], inv);
		Lep (k, 0, K) b[i][k] = mul (b[i][k], inv);
	}
	return true;
}

inline matrix operator * (matrix a, matrix b) {
	matrix c; zero (c);
	Lep (i, 0, K) Lep (j, 0, K) Lep (k, 0, K) pls (c[i][j], mul (a[i][k], b[k][j]));
	return c;
}
inline bool operator == (matrix a, matrix b) {
	Lep (i, 0, K) Lep (j, 0, K) if (a[i][j] != b[i][j]) return false;
	return true;
}

inline void print (matrix a) {
	Lep (i, 0, K) Lep (j, 0, K) debug ("%d%c", a[i][j], " \n"[j == K - 1]);
}

// }}}

const int N = 5e5 + 5;

int n, m;
char str[N];
matrix mt[3], iv[3];

// {{{ segment tree

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

short tag[N << 2];
matrix val[N << 2][3], _val;

inline void pushup (int x) {
	lep (o, 0, 2) val[x][o] = val[lc][o] * val[rc][o];
}
inline void shift (int x, int y) {
	tag[x] = (tag[x] + y) % 3;
	if (y == 1) _val = val[x][2], val[x][2] = val[x][0], val[x][0] = val[x][1], val[x][1] = _val;
	if (y == 2) _val = val[x][2], val[x][2] = val[x][1], val[x][1] = val[x][0], val[x][0] = _val;
}
inline void pushdown (int x) {
	if (tag[x]) {
		shift (lc, tag[x]);
		shift (rc, tag[x]);
		tag[x] = 0;
	}
}

void build (int x, int l, int r) {
	if (l == r) {
		int c = str[l] - '0';
		lep (o, 0, 2) val[x][o] = (l & 1) ? mt[(c + o) % 3] : iv[(c + o) % 3];
	} else {
		build (lc, l, mid), build (rc, mid + 1, r);
		pushup (x);
	}
}

void shift (int x, int l, int r, int L, int R) {
	if (L <= l && r <= R) return shift (x, 1), void ();
	pushdown (x);
	if (L <= mid) shift (lc, l, mid, L, R);
	if (R > mid) shift (rc, mid + 1, r, L, R);
	pushup (x);
}
matrix query (int x, int l, int r, int L, int R) {
	if (L == l && r == R) return val[x][0];
	pushdown (x);
	if (R <= mid) return query (lc, l, mid, L, R);
	if (L > mid) return query (rc, mid + 1, r, L, R);
	return query (lc, l, mid, L, mid) * query (rc, mid + 1, r, mid + 1, R);
}

#undef lc
#undef rc
#undef mid

// }}}

signed main () {
	IN (n), IN (m), scanf ("%s", str + 1);
	lep (o, 0, 2) for ( random (mt[o]); ! g_inv (mt[o], iv[o]); random (mt[o]) );
	build (1, 1, n);

	matrix i; one (i);
	for (int opt, l, r; m; -- m) {
		if (IN (opt), IN (l), IN (r), opt == 1) {
			shift (1, 1, n, l, r);
		} else {
			matrix q = query (1, 1, n, l, r);
			puts (q == i ? "Yes" : "No");
		}
	}
	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: 0ms
memory: 3796kb

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: 180ms
memory: 3920kb

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
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No
Yes
No
No
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No
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No
No
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: 178ms
memory: 3708kb

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
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Yes
No
No
No
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No
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: 303ms
memory: 3944kb

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: 306ms
memory: 6048kb

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: 935ms
memory: 56432kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
No
Yes
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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: 915ms
memory: 58836kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

No
No
No
No
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No
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...

result:

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

Test #8:

score: 0
Accepted
time: 913ms
memory: 56332kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
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: 635ms
memory: 56636kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

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

result:

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

Test #10:

score: 0
Accepted
time: 682ms
memory: 58900kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
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Yes
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Yes
No
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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: 511ms
memory: 55904kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

No
No
Yes
No
Yes
No
No
Yes
No
Yes
No
Yes
No
Yes
Yes
No
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Yes
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Yes
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Yes
No
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Yes
Yes
No
Yes
No
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: 520ms
memory: 55720kb

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: 539ms
memory: 58980kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
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...

result:

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

Test #14:

score: 0
Accepted
time: 495ms
memory: 56716kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

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: 536ms
memory: 56708kb

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: 929ms
memory: 56320kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
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Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
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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: 845ms
memory: 59036kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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: 877ms
memory: 56040kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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
Yes
No
Yes
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Yes...

result:

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

Test #19:

score: 0
Accepted
time: 831ms
memory: 56292kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
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Yes
Yes
Yes
Yes
Yes
No
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No
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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: 778ms
memory: 56836kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
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
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Yes
Yes
Yes
No
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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: 758ms
memory: 55572kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
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Yes
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Yes
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Yes
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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: 747ms
memory: 56164kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
Yes
Yes
Yes
Yes
Yes
No
No
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No
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Yes
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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: 750ms
memory: 58776kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

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: 842ms
memory: 55912kb

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: 723ms
memory: 55624kb

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: 712ms
memory: 55472kb

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: 647ms
memory: 56496kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

No
No
No
No
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Yes
Yes
No
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N...

result:

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

Test #28:

score: 0
Accepted
time: 628ms
memory: 55752kb

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: 622ms
memory: 58928kb

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: 630ms
memory: 56376kb

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: 524ms
memory: 54016kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

No
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