QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#404396#6504. Flower's Land 2schrodingerstomAC ✓975ms104212kbC++145.6kb2024-05-03 21:35:242024-11-22 20:44:29

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:44:29]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:975ms
  • 内存:104212kb
  • [2024-11-22 20:26:09]
  • hack成功,自动添加数据
  • (/hack/1243)
  • [2024-05-03 21:35:52]
  • 评测
  • 测评结果:100
  • 用时:983ms
  • 内存:102252kb
  • [2024-05-03 21:35:24]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define debug(fmt,...) \
    fprintf(stderr, fmt,##__VA_ARGS__)
#define debugln(fmt,...) \
    fprintf(stderr,"[%d]" fmt,__LINE__,##__VA_ARGS__)
#define TIME (1e3*clock()/CLOCKS_PER_SEC)
typedef long long ll;
template<typename T,typename TT> void chkmin(T &x,TT y) {if(x>y) x=y;}
template<typename T,typename TT> void chkmax(T &x,TT y) {if(x<y) x=y;}
constexpr int mod=998244353;
void inc(int &x,int y) {x+=y; x-=(x>=mod)*mod;}
void dec(int &x,int y) {x-=y; x+=(x<0)*mod;}
constexpr int add(int x,int y) {return (x+y>=mod)?x+y-mod:x+y;}
constexpr int sub(int x,int y) {return (x<y)?x-y+mod:x-y;}
constexpr int quick_pow(int x,ll times,int ret=1) {
    for(;times;times>>=1,x=1ll*x*x%mod) if(times&1) ret=1ll*ret*x%mod;
    return ret;
}
bool memBeg;
constexpr int siz=2;
struct matrix {
    int a[siz][siz];
    matrix() {memset(a,0,sizeof(a));}
    int *operator[](int i) {return a[i];}
    const int *operator[](int i) const {return a[i];}
    matrix operator*(const matrix &o) const {
        matrix ret;
        for(int i=0;i<siz;i++) {
            for(int j=0;j<siz;j++) {
                if(a[i][j]) {
                    for(int k=0;k<siz;k++) {
                        ret[i][k]=(ret[i][k]+1ll*a[i][j]*o.a[j][k])%mod;
                    }
                }
            }
        }
        return ret;
    }
};
bool check(const matrix &o) {
    for(int i=0;i<siz;i++) {
        for(int j=0;j<siz;j++) {
            if(o[i][j]!=(i==j)) return false;
        }
    }
    return true;
}
matrix inv(const matrix &o) {
    matrix run=o,ret;
    for(int i=0;i<siz;i++) ret[i][i]=1;
    for(int i=0;i<siz;i++) {
        if(!run[i][i]) {
            int key=-1;
            for(int j=i+1;j<siz;j++) {
                if(run[j][i]) {
                    key=j; break;
                }
            }
            if(key==-1) {
                ret[0][0]=-1; return ret;
            }
            for(int j=i;j<siz;j++) swap(run[i][j],run[key][j]);
            for(int j=0;j<siz;j++) swap(ret[i][j],ret[key][j]);
        }
        int inv=mod-quick_pow(run[i][i],mod-2);
        for(int j=i+1;j<siz;j++) {
            int coef=1ll*run[j][i]*inv%mod;
            for(int k=i;k<siz;k++) run[j][k]=(run[j][k]+1ll*run[i][k]*coef)%mod;
            for(int k=0;k<siz;k++) ret[j][k]=(ret[j][k]+1ll*ret[i][k]*coef)%mod;
        }
    }
    for(int i=siz-1;i>=0;i--) {
        for(int j=i+1;j<siz;j++) {
            int coef=sub(0,run[i][j]);
            run[i][j]=0;
            for(int k=0;k<siz;k++) ret[i][k]=(ret[i][k]+1ll*ret[j][k]*coef)%mod;
        }
        int inv=quick_pow(run[i][i],mod-2);
        run[i][i]=1;
        for(int j=0;j<siz;j++) ret[i][j]=1ll*ret[i][j]*inv%mod;
    }
    assert(check(run));
    return ret;
}
mt19937 eng(19260817);
template<typename T> T get_rand(T l,T r) {
    return uniform_int_distribution<T>(l,r)(eng);
}
matrix m[3],mi[3];
constexpr int maxn=5e5+5;
int n,Q;
char s[maxn];
struct node {
    matrix p[3];
    matrix& operator[](int i) {return p[i];}
    const matrix& operator[](int i) const {return p[i];}
    node operator+(const node &o) const {
        node ret;
        for(int i=0;i<3;i++) ret[i]=p[i]*o[i];
        return ret;
    }
};
struct segment_tree {
    node tree[maxn<<2];
    int tag[maxn<<2];
    void push_up(int cur) {
        tree[cur]=tree[cur<<1]+tree[cur<<1|1];
    }
    void build(int tl,int tr,int cur) {
        if(tl==tr) {
            if(tl&1) {
                for(int i=0;i<3;i++) tree[cur][i]=m[(s[tl]-'0'+i)%3];
            } else {
                for(int i=0;i<3;i++) tree[cur][i]=mi[(s[tl]-'0'+i)%3];
            }
            return;
        }
        int mid=(tl+tr)>>1;
        build(tl,mid,cur<<1);
        build(mid+1,tr,cur<<1|1);
        push_up(cur);
    }
    void dtag(int cur,int _tag) {
        tag[cur]=(tag[cur]+_tag)%3;
        rotate(tree[cur].p,tree[cur].p+_tag,tree[cur].p+3);
    }
    void push_down(int cur) {
        if(tag[cur]) {
            dtag(cur<<1,tag[cur]);
            dtag(cur<<1|1,tag[cur]);
            tag[cur]=0;
        }
    }
    void modify(int tl,int tr,int cur,int l,int r) {
        if(l<=tl&&tr<=r) return dtag(cur,1);
        push_down(cur);
        int mid=(tl+tr)>>1;
        if(l<=mid) modify(tl,mid,cur<<1,l,r);
        if(r>mid) modify(mid+1,tr,cur<<1|1,l,r);
        push_up(cur);
    }
    matrix query(int tl,int tr,int cur,int l,int r) {
        if(l<=tl&&tr<=r) return tree[cur][0];
        push_down(cur);
        int mid=(tl+tr)>>1;
        if(l>mid) return query(mid+1,tr,cur<<1|1,l,r);
        else if(r<=mid) return query(tl,mid,cur<<1,l,r);
        else return query(tl,mid,cur<<1,l,r)*
                    query(mid+1,tr,cur<<1|1,l,r);
    }
}T;
bool memEn;
int main() {
    debug("%.24lf\n",fabs(&memEn-&memBeg)/1024.0/1024.0);
    for(int i=0;i<3;i++) {
        do {
            for(int j=0;j<siz;j++) {
                for(int k=0;k<siz;k++) m[i][j][k]=get_rand(1,mod-1);
            }
            mi[i]=inv(m[i]);
        }while(mi[i][0][0]==-1);
        matrix chk=m[i]*mi[i];
        assert(check(chk));
        chk=mi[i]*m[i];
        assert(check(chk));
    }
    scanf("%d%d",&n,&Q);
    scanf("%s",s+1);
    T.build(1,n,1);
    while(Q--) {
        int op,l,r;
        scanf("%d%d%d",&op,&l,&r);
        if(op==1) T.modify(1,n,1,l,r);
        else {
            matrix chk=T.query(1,n,1,l,r);
            puts(check(chk)?"Yes":"No");
        }
    }
    return 0;
}
/*
g++ C.cpp -o C -std=c++14 -Wall -Wextra -Wshadow -fsanitize=address,undefined
*/

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: 11ms
memory: 99280kb

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: 230ms
memory: 101728kb

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
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Yes
Yes
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Yes
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No
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No
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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: 237ms
memory: 99732kb

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
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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: 358ms
memory: 98344kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

output:

No
No
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...

result:

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

Test #5:

score: 0
Accepted
time: 368ms
memory: 101412kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

output:

No
No
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...

result:

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

Test #6:

score: 0
Accepted
time: 967ms
memory: 102268kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #7:

score: 0
Accepted
time: 975ms
memory: 102236kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

No
No
No
No
No
No
No
No
No
No
No
No
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: 967ms
memory: 102200kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
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: 617ms
memory: 102196kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

Yes
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
Yes
No
No
No
Yes
Yes
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Yes
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Yes
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Yes
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Yes
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Yes
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Yes
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Yes
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Yes
No
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No
No
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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: 606ms
memory: 104208kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
No
No
No
No
No
No
No
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No
No
No
No
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No
No
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Yes
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Yes
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No
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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: 569ms
memory: 102200kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

No
No
Yes
No
Yes
No
No
Yes
No
Yes
No
Yes
No
Yes
Yes
No
No
No
No
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Yes
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No
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Yes
No
No
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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: 597ms
memory: 103784kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

No
No
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No
No
...

result:

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

Test #13:

score: 0
Accepted
time: 623ms
memory: 102268kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
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...

result:

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

Test #14:

score: 0
Accepted
time: 627ms
memory: 102224kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
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Yes
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N...

result:

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

Test #15:

score: 0
Accepted
time: 628ms
memory: 104076kb

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: 910ms
memory: 104056kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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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: 932ms
memory: 102268kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #18:

score: 0
Accepted
time: 919ms
memory: 102204kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #19:

score: 0
Accepted
time: 848ms
memory: 102204kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
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Yes
Yes
Yes
Yes
Yes
No
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Yes
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No
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Yes
No
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Yes
No
No
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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: 809ms
memory: 104212kb

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
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Yes
Yes
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Yes
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Yes
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Yes
Yes
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No
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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: 788ms
memory: 102200kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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No
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Yes
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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: 748ms
memory: 102216kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #23:

score: 0
Accepted
time: 703ms
memory: 102196kb

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: 720ms
memory: 102204kb

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: 756ms
memory: 103864kb

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: 676ms
memory: 102220kb

input:

500000 500000
2102012102020210212121020120121010120121012012021010212101212102012010201212121012101210212102102120210201020121012021201021012010212021210202012010212020102121202021202121012121021010120210210202021212020212120121202012101201201012021212101210120101020201020121020210121020212012021212...

output:

No
No
No
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Yes
No
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Yes
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N...

result:

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

Test #27:

score: 0
Accepted
time: 670ms
memory: 102196kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

No
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: 667ms
memory: 102200kb

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: 662ms
memory: 102144kb

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: 658ms
memory: 102068kb

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: 508ms
memory: 98544kb

input:

500000 500000
0100201020101001010102010202020201010201002020102020101001010201020100100201010020010101010102020202010010201020202020200102002010001020201010010102001000101010020000101020102001002020201002020101020101010102010020201010102020200010102020101002020002002002010101010201020020102020101020...

output:

No
No
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Yes
Yes
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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