QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#108145#6504. Flower's Land 2tricyzhkxAC ✓1760ms116028kbC++143.0kb2023-05-23 17:57:012024-11-22 20:26:39

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:26:39]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:1760ms
  • 内存:116028kb
  • [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.
  • [2023-05-23 17:57:03]
  • 评测
  • 测评结果:100
  • 用时:2704ms
  • 内存:115996kb
  • [2023-05-23 17:57:01]
  • 提交

answer

# include <bits/stdc++.h>
using namespace std;
const int K=2;
typedef long long ll;
int n;
char s[500010];
mt19937 Rand(0);
template<int mod>
ll power(ll a,int b)
{
	ll ans=1;
	for(;b;b>>=1,a=a*a%mod)
		if(b&1) ans=ans*a%mod;
	return ans;
}
template<int mod>
struct Matrix
{
	int a[K][K];
	Matrix(){memset(a,0,sizeof(a));}
	Matrix(const initializer_list<int> &_a)
	{
		auto it=_a.begin();
		for(int i=0;i<K;i++)
			for(int j=0;j<K;j++)
				a[i][j]=*it++;
	}
	Matrix<mod> operator*(const Matrix<mod> &x)const
	{
		Matrix<mod> ans;
		for(int i=0;i<K;i++)
			for(int k=0;k<K;k++)
				for(int j=0;j<K;j++)
					ans.a[i][j]=(ans.a[i][j]+(ll)a[i][k]*x.a[k][j])%mod;
		return ans;
	}
	Matrix<mod> INV()const
	{
		static int b[K][K*2];
		memset(b,0,sizeof(b));
		for(int i=0;i<K;i++)
			for(int j=0;j<K;j++)
				b[i][j]=a[i][j];
		for(int i=0;i<K;i++) b[i][i+K]=1;
		for(int i=0;i<K;i++)
		{
			assert(b[i][i]);
			ll t=power<mod>(b[i][i],mod-2);
			for(int j=i;j<K*2;j++) b[i][j]=b[i][j]*t%mod;
			for(int j=0;j<K;j++)if(i!=j)
			{
				t=mod-b[j][i];
				for(int k=i;k<K*2;k++) b[j][k]=(b[j][k]+t*b[i][k])%mod;
			}
		}
		Matrix<mod> ans;
		for(int i=0;i<K;i++)
			for(int j=0;j<K;j++)
				ans.a[i][j]=b[i][j+K];
		return ans;
	}
};
template<int mod>
struct Checker
{
	Matrix<mod> I{1,0,0,mod-1},M[3],mul[1100000][3];
	int tag[1100000];
	void init()
	{
		auto rng=[]()->int{return Rand()%mod;};
		for(int i=0;i<3;i++)
		{
			M[i]={rng(),rng(),rng(),rng()};
			M[i]=M[i]*I*M[i].INV();
		}
	}
	void pushup(int rt){for(int i=0;i<3;i++) mul[rt][i]=mul[rt*2][i]*mul[rt*2+1][i];}
	void push(int rt,int t)
	{
		rotate(mul[rt],mul[rt]+t,mul[rt]+3);
		(tag[rt]+=t)%=3;
	}
	void pushdown(int rt)
	{
		if(!tag[rt]) return;
		push(rt*2,tag[rt]);push(rt*2+1,tag[rt]);
		tag[rt]=0;
	}
	void build(int rt,int l,int r)
	{
		if(l==r)
		{
			for(int i=0;i<3;i++) mul[rt][i]=M[(s[l]-'0'+i)%3];
			return;
		}
		int mid=(l+r)/2;
		build(rt*2,l,mid);build(rt*2+1,mid+1,r);
		pushup(rt);
	}
	void update(int rt,int l,int r,int x,int y)
	{
		if(l>y || r<x) return;
		if(x<=l && r<=y) return push(rt,1);
		pushdown(rt);
		int mid=(l+r)/2;
		update(rt*2,l,mid,x,y);update(rt*2+1,mid+1,r,x,y);
		pushup(rt);
	}
	Matrix<mod> query(int rt,int l,int r,int x,int y)
	{
		if(x<=l && r<=y) return mul[rt][0];
		pushdown(rt);
		int mid=(l+r)/2;
		if(y<=mid) return query(rt*2,l,mid,x,y);
		else if(x>mid) return query(rt*2+1,mid+1,r,x,y);
		else return query(rt*2,l,mid,x,y)*query(rt*2+1,mid+1,r,x,y);
	}
	bool check(int l,int r)
	{
		Matrix<mod> M=query(1,1,n,l,r);
		bool ok=1;
		for(int i=0;i<K;i++)
			for(int j=0;j<K;j++)
				ok&=(M.a[i][j]==(i==j));
		return ok;
	}
};
Checker<998244353> C1;
Checker<1000000007> C2;
int main()
{
	int q,op,l,r;
	scanf("%d%d%s",&n,&q,s+1);
	C1.init();C1.build(1,1,n);
	C2.init();C2.build(1,1,n);
	while(q--)
	{
		scanf("%d%d%d",&op,&l,&r);
		if(op==1) C1.update(1,1,n,l,r),C2.update(1,1,n,l,r);
		else puts(C1.check(l,r) && C2.check(l,r)?"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: 4ms
memory: 108728kb

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: 358ms
memory: 109912kb

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
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No
No
No
No
No
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No
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No
No
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No
No
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No
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Yes
No
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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: 355ms
memory: 111472kb

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
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Yes
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Yes
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Yes
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Yes
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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: 573ms
memory: 110576kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

output:

No
No
No
No
No
No
No
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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: 573ms
memory: 109220kb

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
No
No
No
...

result:

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

Test #6:

score: 0
Accepted
time: 1617ms
memory: 115836kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
No
Yes
No
No
No
No
Yes
No
No
No
No
No
No
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No
No
Yes
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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: 1567ms
memory: 115824kb

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
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No
No
No
...

result:

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

Test #8:

score: 0
Accepted
time: 1578ms
memory: 115764kb

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
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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: 1033ms
memory: 115764kb

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
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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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No
No
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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: 993ms
memory: 115840kb

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
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No
No
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No
Yes
No
No
No
No
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No
No
No
No
No
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No
No
No
No
No
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Yes
No
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No
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Yes
No
Yes
No
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No
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No
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Yes
No
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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: 548ms
memory: 115872kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

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

result:

ok 499764 token(s): yes count is 13197, no count is 486567

Test #12:

score: 0
Accepted
time: 554ms
memory: 114084kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

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
...

result:

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

Test #13:

score: 0
Accepted
time: 646ms
memory: 115840kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
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No
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No
No
No
No
No
...

result:

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

Test #14:

score: 0
Accepted
time: 654ms
memory: 115828kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
Yes
Yes
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: 634ms
memory: 115812kb

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: 1678ms
memory: 115828kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
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: 1755ms
memory: 115608kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
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No
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: 1760ms
memory: 115960kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #19:

score: 0
Accepted
time: 1569ms
memory: 115824kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
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No
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Yes
No
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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: 1500ms
memory: 115828kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

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

result:

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

Test #21:

score: 0
Accepted
time: 1491ms
memory: 116024kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
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Yes
No
Yes
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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: 1428ms
memory: 115824kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
Yes
Yes
Yes
Yes
Yes
No
No
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Yes
Yes
Yes
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No
Yes
Yes
Yes
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Yes
Yes
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: 1093ms
memory: 116024kb

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: 1137ms
memory: 115608kb

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: 1202ms
memory: 116028kb

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: 1005ms
memory: 115732kb

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: 1031ms
memory: 114364kb

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: 1018ms
memory: 114020kb

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: 998ms
memory: 113940kb

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: 1029ms
memory: 113496kb

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: 632ms
memory: 110968kb

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