QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#114799#6504. Flower's Land 2Ethan_xuAC ✓1135ms120592kbC++204.1kb2023-06-23 16:38:502024-11-22 20:28:02

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:28:02]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:1135ms
  • 内存:120592kb
  • [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.
  • [2023-06-23 16:38:59]
  • 评测
  • 测评结果:100
  • 用时:886ms
  • 内存:120404kb
  • [2023-06-23 16:38:50]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 5e5 + 5;
typedef long long ll;
const int mod = 998244353;
ll qpow(ll x, ll y) {
    ll res = 1;
    while(y) {
        if(y & 1) res = res * x % mod;
        x = x * x % mod;
        y >>= 1;
    }
    return res;
}
struct Matrix {
    ll a[2][2];
    // inverse matrix
    Matrix operator~() {
        Matrix res;
        ll det = (a[0][0] * a[1][1] % mod - a[0][1] * a[1][0] % mod + mod) % mod;
        res.a[0][0] = a[1][1] * qpow(det, mod - 2) % mod;
        res.a[1][1] = a[0][0] * qpow(det, mod - 2) % mod;
        res.a[0][1] = (mod - a[0][1]) * qpow(det, mod - 2) % mod;
        res.a[1][0] = (mod - a[1][0]) * qpow(det, mod - 2) % mod;
        return res;
    }
    // multiply
    Matrix operator*(const Matrix &rhs) {
        Matrix res;
        for(int i=0;i<2;i++)
            for(int j=0;j<2;j++) {
                res.a[i][j] = 0;
                for(int k=0;k<2;k++)
                    res.a[i][j] += a[i][k] * rhs.a[k][j];
                res.a[i][j] %= mod;
            }
        return res;
    }
    // is identity matrix
    bool is_identity() {
        return a[0][0] == 1 && a[0][1] == 0 && a[1][0] == 0 && a[1][1] == 1;
    }
}mx[10];
string s;
struct SegmentTree {
    struct Node {
        int l, r, lazy;
        Matrix val[3];
    }t[N<<2];
    #define ls(x) ((x)<<1)
    #define rs(x) ((x)<<1|1)
    #define mid(x) ((t[x].l + t[x].r)>> 1)
    void push_up(int x) {
        for(int i=0;i<3;i++)
            t[x].val[i] = t[ls(x)].val[i] * t[rs(x)].val[i];
    }
    void push_down(int x){
        if(t[x].lazy) {
            t[ls(x)].lazy = (t[x].lazy + t[ls(x)].lazy) % 3;
            t[rs(x)].lazy = (t[x].lazy + t[rs(x)].lazy) % 3;
            rotate(t[ls(x)].val, t[ls(x)].val + t[x].lazy, t[ls(x)].val + 3);
            rotate(t[rs(x)].val, t[rs(x)].val + t[x].lazy, t[rs(x)].val + 3);
            t[x].lazy = 0;
        }
    }
    void build(int x, int l, int r) {
        t[x].l = l, t[x].r = r;
        if(l == r) {
            if(l % 2 == 0) {
                t[x].val[0] = mx[s[l-1] - '0'];
                t[x].val[1] = mx[(s[l-1] - '0' + 1) % 3];
                t[x].val[2] = mx[(s[l-1] - '0' + 2) % 3];
            }
            else {
                t[x].val[0] = mx[s[l-1] - '0' + 3]; 
                t[x].val[1] = mx[(s[l-1] - '0' + 1) % 3 + 3];
                t[x].val[2] = mx[(s[l-1] - '0' + 2) % 3 + 3];
            }
            return;
        }
        int mid = mid(x);
        build(ls(x), l, mid);
        build(rs(x), mid + 1, r);
        push_up(x);
    }
    void update(int x, int L, int R) {
        assert(L <= R);
        if(L <= t[x].l && t[x].r <= R) {
            t[x].lazy = (t[x].lazy + 1) % 3;
            rotate(t[x].val, t[x].val + 1, t[x].val + 3);
            return;
        }
        push_down(x);
        int mid = mid(x);
        if(L <= mid) update(ls(x), L, R);
        if(R > mid) update(rs(x), L, R);
        push_up(x);
    }
    Matrix query(int x, int L, int R) {
        assert(L <= R);
        if(L <= t[x].l && t[x].r <= R)
            return t[x].val[0];
        push_down(x);
        int mid = mid(x);
        if(R <= mid) return query(ls(x), L, R);
        else if(L > mid) return query(rs(x), L, R);
        else return query(ls(x), L, R) * query(rs(x), L, R);
    }
}sgt;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    #ifdef _DEBUG
        freopen("data.txt", "r", stdin);
    #endif
    int n, m;
    cin>>n>>m>>s;
    for(int i=0;i<3;i++) {
        for(int j=0;j<2;j++)
            for(int k=0;k<2;k++)
                mx[i].a[j][k] = rand() % mod;
        mx[i+3] = ~mx[i];
    }
    sgt.build(1, 1, n);
    while(m--) {
        int opt;
        cin>>opt;
        if(opt == 2) {
            int l, r;
            cin>>l>>r;
            Matrix res = sgt.query(1, l, r);
            if(res.is_identity()) cout<<"Yes\n";
            else cout<<"No\n";
        }
        else {
            int l, r;
            cin>>l>>r;
            sgt.update(1, l, r);
        }
    }
}

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: 3672kb

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: 193ms
memory: 3632kb

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
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Yes
Yes
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No
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No
No
No
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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: 3692kb

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
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No
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No
No
No
No
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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: 306ms
memory: 3904kb

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: 310ms
memory: 5772kb

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: 1135ms
memory: 120340kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
No
Yes
No
No
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No
Yes
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No
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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: 1061ms
memory: 119980kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

No
No
No
No
No
No
No
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...

result:

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

Test #8:

score: 0
Accepted
time: 1063ms
memory: 118960kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
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No
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...

result:

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

Test #9:

score: 0
Accepted
time: 712ms
memory: 119316kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

Yes
No
Yes
No
No
No
No
No
No
No
No
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Yes
No
No
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No
Yes
No
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Yes
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Yes
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Yes
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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: 714ms
memory: 120076kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
No
No
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No
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Yes
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No
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Yes
No
No
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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: 675ms
memory: 119800kb

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
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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: 660ms
memory: 119864kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

No
No
No
No
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...

result:

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

Test #13:

score: 0
Accepted
time: 760ms
memory: 120028kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
No
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No
...

result:

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

Test #14:

score: 0
Accepted
time: 840ms
memory: 120312kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
Yes
Yes
No
No
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: 680ms
memory: 118792kb

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: 969ms
memory: 118828kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
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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: 1030ms
memory: 120256kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
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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: 936ms
memory: 120372kb

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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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: 873ms
memory: 118796kb

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

result:

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

Test #20:

score: 0
Accepted
time: 835ms
memory: 120332kb

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
Yes
No
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No
Yes
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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: 823ms
memory: 120592kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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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: 785ms
memory: 119200kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
Yes
Yes
Yes
Yes
Yes
No
No
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Yes
Yes
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No
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Yes
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Yes
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No
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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: 842ms
memory: 118792kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

output:

No
No
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No...

result:

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

Test #24:

score: 0
Accepted
time: 867ms
memory: 118704kb

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: 834ms
memory: 118828kb

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: 119816kb

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: 603ms
memory: 119532kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

No
No
No
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Yes
Yes
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N...

result:

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

Test #28:

score: 0
Accepted
time: 596ms
memory: 120088kb

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: 588ms
memory: 118924kb

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: 627ms
memory: 120516kb

input:

500000 500000
1202021012101201201021212121212121201212121012102020120210101212101201212020101020101210101212120201010201201021202121202020201201202010210120201202121010121010102102121010121021212021202021021202120102101202102020210102120202020212120202120212021020121212020102120121012120201202120121...

output:

No
No
No
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Yes
No
No
No
...

result:

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

Test #31:

score: 0
Accepted
time: 521ms
memory: 119480kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

No
No
No
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Yes
Yes
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Yes
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No
No...

result:

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

Extra Test:

score: 0
Extra Test Passed