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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
#109382#6504. Flower's Land 2FFTilted#AC ✓2107ms105584kbC++205.7kb2023-05-28 20:43:122024-11-22 20:27:08

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:27:08]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:2107ms
  • 内存:105584kb
  • [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.
  • [2023-05-28 20:43:17]
  • 评测
  • 测评结果:100
  • 用时:2164ms
  • 内存:101764kb
  • [2023-05-28 20:43:12]
  • 提交

answer

#include "bits/stdc++.h"

using namespace std;

constexpr int mod = 998244353;

int normalize(int x) {
    if (x >= mod) {
        x -= mod;
    }
    if (x < 0) {
        x += mod;
    }
    return x;
}

template<typename T>
T power(T a, int n) {
    T res = 1;
    for (; n; n /= 2, a *= a) {
        if (n % 2) {
            res *= a;
        }
    }
    return res;
}

class Mint {
public:
    int x;

    Mint(int x = 0) : x(normalize(x)) {}
    Mint(long long x) : x(normalize(x % mod)) {}

    int val() const {
        return x;
    }

    Mint operator-() const {
        return Mint(normalize(mod - x));
    }

    Mint inv() const {
        return power(*this, mod - 2);
    }

    Mint& operator*=(const Mint& rhs) {
        x = x * 1ll * rhs.x % mod;
        return *this;
    }

    Mint& operator+=(const Mint& rhs) {
        x = normalize(x + rhs.x);
        return *this;
    }

    Mint& operator-=(const Mint& rhs) {
        x = normalize(x - rhs.x);
        return *this;
    }

    Mint& operator/=(const Mint& rhs) {
        return *this *= rhs.inv();
    }

    friend Mint operator*(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res *= rhs;
        return res;
    }

    friend Mint operator+(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res += rhs;
        return res;
    }

    friend Mint operator-(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res -= rhs;
        return res;
    }

    friend Mint operator/(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res /= rhs;
        return res;
    }
};

using mint = Mint;

vector<mint> fact(1, 1);
vector<mint> inv_fact(1, 1);

void fast(int n) {
    while ((int) fact.size() < n + 1) {
        fact.push_back(fact.back() * (int) fact.size());
    }
    inv_fact.resize(n + 1, 1);
    inv_fact[n] = 1 / fact[n];
    for (int i = n - 1; i >= 2; i--) {
        inv_fact[i] = inv_fact[i + 1] * (i + 1);
    }
}

mint C(int n, int k) {
    if (k < 0 || k > n) {
        return 0;
    }
    while ((int) fact.size() < n + 1) {
        fact.push_back(fact.back() * (int) fact.size());
        inv_fact.push_back(fact.back().inv());
    }
    return fact[n] * inv_fact[k] * inv_fact[n - k];
}


mt19937 gen(time(0));
using T = array<array<mint, 2>, 2>;
T mat[3];
T matr[3];

T mul(T a, T b) {
    T res;
    for (int i = 0; i < 2; i++) {
        for (int j = 0; j < 2; j++) {
            res[i][j] = 0;
            for (int k = 0; k < 2; k++) {
                res[i][j] += a[i][k] * b[k][j];
            }
        }
    }
    return res;
}

const int N = 5e5 + 22;
T tree[4 * N][3];
int d[4 * N];
string s;
T E;

void build(int v, int l, int r) {
    if (l + 1 == r) {
        for (int i : {0, 1, 2}) {
            int j = i + (s[l] - '0');
            j %= 3;
            if (l % 2 == 0) {
                tree[v][i] = mat[j];
            } else {
                tree[v][i] = matr[j];
            }
        }
        return;
    }
    int m = (l + r) / 2;
    build(v * 2 + 1, l, m);
    build(v * 2 + 2, m, r);
    for (int i : {0, 1, 2}) {
        tree[v][i] = mul(tree[v * 2 + 1][i], tree[v * 2 + 2][i]);
    }
}

void push(int v, int l, int r) {
    d[v] %= 3;
    if (d[v] == 1) {
        swap(tree[v][0], tree[v][1]);
        swap(tree[v][1], tree[v][2]);
    } else if (d[v] == 2) {
        swap(tree[v][0], tree[v][2]);
        swap(tree[v][1], tree[v][2]);
    }
    if (l + 1 < r) {
        d[v * 2 + 1] += d[v];
        d[v * 2 + 2] += d[v];
    }
    d[v] = 0;
}

void update(int v, int l, int r, int l2, int r2) {
    push(v, l, r);
    if (l2 >= r || l >= r2) {
        return;
    }
    if (l2 <= l && r <= r2) {
        d[v]++;
        push(v, l, r);
        return;
    }
    int m = (l + r) / 2;
    update(v * 2 + 1, l, m, l2, r2);
    update(v * 2 + 2, m, r, l2, r2);
    for (int i : {0, 1, 2}) {
        tree[v][i] = mul(tree[v * 2 + 1][i], tree[v * 2 + 2][i]);
    }
}

T get(int v, int l, int r, int l2, int r2) {
    push(v, l, r);
    if (l2 >= r || l >= r2) {
        return E;
    }
    if (l2 <= l && r <= r2) {
        return tree[v][0];
    }
    int m = (l + r) / 2;
    return mul(get(v * 2 + 1, l, m, l2, r2), get(v * 2 + 2, m, r, l2, r2));
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    E[0][0] = E[1][1] = 1;
    E[0][1] = E[1][0] = 0;
    for (int i = 0; i < 3; i++) {
        while (1) {
            for (int x : {0, 1}) {
                for (int y : {0, 1}) {
                    int z = gen() % mod;
                    mat[i][x][y] = mint(z);
                }
            }
            mint det = mat[i][0][0] * mat[i][1][1] - mat[i][0][1] * mat[i][1][0];
            if (det.x == 0) {
                continue;
            }
            matr[i] = mat[i];
            swap(matr[i][0][0], matr[i][1][1]);
            for (int x : {0, 1}) {
                for (int y : {0, 1}) {
                    if (x != y) {
                        matr[i][x][y] *= -1;
                    }
                    matr[i][x][y] /= det;
                }
            }
            break;
        }
    }
    int n, q;
    cin >> n >> q;
    cin >> s;
    build(0, 0, n);
    while (q--) {
        int t, l, r;
        cin >> t >> l >> r;
        l--, r--;
        if (t == 1) {
            update(0, 0, n, l, r + 1);
        } else {
            T res = get(0, 0, n, l, r + 1);
            if (res[0][0].x == 1 && res[1][1].x == 1 && res[0][1].x == 0 && res[1][0].x == 0) {
                cout << "Yes\n";
            } else {
                cout << "No\n";
            }
        }
    }
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 4ms
memory: 98992kb

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: 498ms
memory: 99584kb

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
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No
No
Yes
No
No
No
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No
No
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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: 492ms
memory: 98492kb

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
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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
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: 826ms
memory: 97916kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

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
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: 831ms
memory: 98796kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
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No
No
No
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No
No
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No
No
No
No
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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: 2032ms
memory: 103448kb

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
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Yes
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No
No
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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: 2056ms
memory: 105412kb

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
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No
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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: 2107ms
memory: 103292kb

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
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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: 1250ms
memory: 105584kb

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: 1268ms
memory: 103520kb

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
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Yes
No
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No
No
Yes
No
Yes
No
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No
No
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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: 1072ms
memory: 103368kb

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
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Yes
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Yes
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Yes
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Yes
Yes
No
Yes
Yes
Yes
No
Yes
No
Yes
Yes
No
No
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No
No
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
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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: 1138ms
memory: 103304kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
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No
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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: 1209ms
memory: 103424kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

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...

result:

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

Test #14:

score: 0
Accepted
time: 1185ms
memory: 103408kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

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result:

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

Test #15:

score: 0
Accepted
time: 1180ms
memory: 103360kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

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...

result:

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

Test #16:

score: 0
Accepted
time: 1430ms
memory: 103320kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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Y...

result:

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

Test #17:

score: 0
Accepted
time: 1440ms
memory: 103376kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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Yes
...

result:

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

Test #18:

score: 0
Accepted
time: 1382ms
memory: 103640kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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Yes...

result:

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

Test #19:

score: 0
Accepted
time: 1383ms
memory: 105452kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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Yes
...

result:

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

Test #20:

score: 0
Accepted
time: 1339ms
memory: 103620kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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...

result:

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

Test #21:

score: 0
Accepted
time: 1310ms
memory: 103436kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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Ye...

result:

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

Test #22:

score: 0
Accepted
time: 1271ms
memory: 103344kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
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...

result:

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

Test #23:

score: 0
Accepted
time: 1469ms
memory: 103620kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

No
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result:

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

Test #24:

score: 0
Accepted
time: 1479ms
memory: 103588kb

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: 1510ms
memory: 103456kb

input:

500000 500000
1021201212020202010212020120120201212012010212121221212120102102121020210210202120102020202121021201201010121210121010202020202010120121010102120101200210102120101012102101020202020201012101212101010212121210120212101012021021020102121201212020201010010102020212102121201020120120210101...

output:

No
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...

result:

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

Test #26:

score: 0
Accepted
time: 1633ms
memory: 103532kb

input:

500000 500000
2102012102020210212121020120121010120121012012021010212101212102012010201212121012101210212102102120210201020121012021201021012010212021210202012010212020102121202021202121012121021010120210210202021212020212120121202012101201201012021212101210120101020201020121020210121020212012021212...

output:

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: 1700ms
memory: 103428kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

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: 1717ms
memory: 103376kb

input:

500000 500000
2120201021210101202021201212120202021010102021010212020102101010201021010201201012010101210101212012102102101010212102121202102010212120212102020212020121012012021020101210102012102021012121010121020101010210201021201021201201020202010202012020201201210101021010101202021020121202012020...

output:

No
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...

result:

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

Test #29:

score: 0
Accepted
time: 1706ms
memory: 105340kb

input:

500000 500000
1021012012010212010210120121012010120202102120202121021021202012121020201021202012120121201202021021020121012101201010101212120201212020120101210210202010210102102102021212021202120212121201201210201210102010120202021212121010121201021021202102020102121202010212020121020210212120212012...

output:

No
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...

result:

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

Test #30:

score: 0
Accepted
time: 1707ms
memory: 103420kb

input:

500000 500000
1202021012101201201021212121212121201212121012102020120210101212101201212020101020101210101212120201010201201021202121202020201201202010210120201202121010121010102102121010121021212021202021021202120102101202102020210102120202020212120202120212021020121212020102120121012120201202120121...

output:

No
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...

result:

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

Test #31:

score: 0
Accepted
time: 1002ms
memory: 103300kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

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