QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#211949#6504. Flower's Land 2lengliAC ✓4303ms318436kbC++239.5kb2023-10-13 01:16:182024-11-22 20:37:06

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:37:06]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:4303ms
  • 内存:318436kb
  • [2024-11-22 20:26:09]
  • hack成功,自动添加数据
  • (/hack/1243)
  • [2023-10-13 01:16:19]
  • 评测
  • 测评结果:100
  • 用时:5391ms
  • 内存:318436kb
  • [2023-10-13 01:16:18]
  • 提交

answer

/*
lengli_QAQ
Hope there are no bugs!!!
*/
#include <bits/stdc++.h>
#define fastio ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define endl '\n'
#define all(x) x.begin(),x.end()
#define pb push_back

using namespace std;

//--------------------------------
template<typename T> void printvt(vector<T> &a){
	for(auto x:a) cout<<x<<" ";cout<<endl;
};
template<typename T> void printay(T a[],int l,int r){
	for(int i=l;i<=r;i++) cout<<a[i]<<" ";cout<<endl;
};
//--------------------------------

typedef pair<int,int> PII;
typedef long long LL;

template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  bool operator<(const ModInt &a) const { return (x < a.x); }
  bool operator>(const ModInt &a) const { return (x > a.x); }
  bool operator<=(const ModInt &a) const { return (x <= a.x); }
  bool operator>=(const ModInt &a) const { return (x >= a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
  friend std::istream &operator>>(std::istream &is, ModInt &a) {int v;is >> v;a = ModInt(v);return is;}
};
constexpr unsigned M = 1000000007;
using Mint = ModInt<M>;

template<typename T> struct matrix {
	int n, m;
	std::vector<T> data;
	matrix () : matrix(0, 0) {}
	matrix (int n) : matrix(n, n) {}
	matrix (int n, int m) : n(n), m(m), data(n * m) {}
	matrix (const std::vector<std::vector<T> > &a) : n(a.size()), m(a[0].size()) {
		data.resize(n*m);
		for (int i = 0; i < n; i++) {
			copy(a[i].begin(), a[i].end(), data.begin()+i*m);
		}
	}
	auto operator [] (int i) { return data.begin() + i * m; }
	auto operator [] (int i) const { return data.cbegin() + i * m; }
	static matrix mul_ident(int n) {
		matrix res(n, n);
		for (int i = 0; i < n; i++) res[i][i] = 1;
		return res;
	}
	matrix operator + (const matrix &rhs) {
		assert(n == rhs.n && m == rhs.m);
		matrix res(n,m);
		for (int i = 0; i < n ; i++) {
			for (int j = 0; j < m; j++)
				res[i][j] = (*this)[i][j] + rhs[i][j];
		}
		return res;
	}
	matrix operator - (const matrix &rhs) {
		assert(n == rhs.n && m == rhs.m);
		matrix res(n,m);
		for (int i = 0; i < n ; i++) {
			for (int j = 0; j < m; j++)
				res[i][j] = (*this)[i][j] - rhs[i][j];
		}
		return res;
	}
	matrix operator * (const matrix &rhs) {
		assert(m == rhs.n);
		matrix res(n, rhs.m);
		for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < rhs.m; k++)
			res[i][k] += (*this)[i][j] * rhs[j][k];
		return res;
	}
	template<typename int_t> matrix operator ^ (int_t x) {
		assert(n == m);
		matrix res = mul_ident(n);
		while (x) {
			if (x & 1) res = matrix(*this)*res;
			*this = matrix(*this)*matrix(*this);
			x>>=1;
		}
		return res;
	}
	matrix &operator += (const matrix &rhs) { return *this = *this + rhs;}
	matrix &operator -= (const matrix &rhs) { return *this = *this - rhs;}
	matrix &operator *= (const matrix &rhs) { return *this = *this * rhs;}
	template<typename int_t> matrix &operator ^= (int_t x) { return *this = *this ^ x;}
	bool operator == (const matrix &rhs) const { return m == rhs.m && data == rhs.data; }
	bool operator != (const matrix &rhs) const { return m != rhs.m || data != rhs.data; }
	std::pair<bool, matrix> inv() {
		assert(n == m);
		matrix a = *this;
		matrix r = mul_ident(n);
		for (int i = 0; i < n; i++) {
			int id = -1;
			for (int j = i; j < n; j++) if (a[j][i] != T(0)) { id = j; break; }
			if (id == -1) return {false, matrix()};
			for (int j = i; j < n; j++) std::swap(a[i][j], a[id][j]);
			for (int j = 0; j < n; j++) std::swap(r[i][j], r[id][j]);
			auto t = T(1) / a[i][i];
			for (int j = i; j < n; j++) a[i][j] *= t;
			for (int j = 0; j < n; j++) r[i][j] *= t;
			for (int j = 0; j < n; j++) if (i != j) {
				auto s = a[j][i];
				for (int k = i; k < n; k++) a[j][k] -= a[i][k] * s;
				for (int k = 0; k < n; k++) r[j][k] -= r[i][k] * s;
			}
		}
		return {true, r};
	}
	std::pair<bool, matrix> inv2() {
		assert(n == m);
		matrix a = *this;
		std::vector<std::pair<int, int> > swaps;
		for (int i = 0; i < n; i++) {
			int id = -1;
			for (int j = i; j < n; j++) if (a[j][i] != T(0)) { id = j; break; }
			if (id == -1) return {false, matrix()};
			if (id != i) {
				swaps.push_back({id, i});
				for (int j = 0; j < n; j++) std::swap(a[i][j], a[id][j]);
			}
			a[i][i] =  T(1) / a[i][i];
			for (int j = 0; j < n; j++) if (j != i) a[i][j] *= a[i][i];
			for (int j = 0; j < n; j++) if (j != i) {
				for (int k = 0; k < n; k++) if (k != i) a[j][k] -= a[j][i] * a[i][k];
				a[j][i] *= -a[i][i];
			}
		}
		for (int i = swaps.size(); i--; ) 
			for (int j = 0; j < n; j++) std::swap(a[j][swaps[i].first], a[j][swaps[i].second]);
		return {true, a};
	}
	T det() const {
		assert(n == m);
		matrix a = *this;
		T res = 1;
		for (int i = 0; i < n; i++) {
			int id = -1;
			for (int j = i; j < n; j++) if (a[j][i] != T(0)) { id = j; break; }
			if (id == -1) return 0;
			if (id != i) {
				res = -res;
				for (int j = i; j < n; j++) std::swap(a[id][j], a[i][j]);
			}
			res *= a[i][i];
			
			T t = T(1) / a[i][i];
			for (int j = i; j < n; j++) a[i][j] *= t;
			for (int j = i + 1; j < n; j++) {
				auto s = a[j][i];
				for (int k = i; k < n; k++) a[j][k] -= a[i][k] * s;
			}
		}
		return res;
	}
};

const int N=500010;

int n,q;
int a[N];

matrix<Mint> base[3],_base[3];

struct Node{
	int l,r;
	matrix<Mint> v[3];
	int add;
}tr[N*4];

void pushup(Node &u,Node l,Node r){
	for(int i=0;i<3;i++) u.v[i]=l.v[i]*r.v[i];
}

void pushup(int u){
	pushup(tr[u],tr[u<<1],tr[u<<1|1]);
}

void pushdown(int u){
	if(!tr[u].add) return;
	tr[u<<1].add+=tr[u].add,tr[u<<1].add%=3;
	tr[u<<1|1].add+=tr[u].add,tr[u<<1|1].add%=3;
	tr[u].add%=3;
	while(tr[u].add>0){
		swap(tr[u<<1].v[0],tr[u<<1].v[1]);
		swap(tr[u<<1].v[1],tr[u<<1].v[2]);
		swap(tr[u<<1|1].v[0],tr[u<<1|1].v[1]);
		swap(tr[u<<1|1].v[1],tr[u<<1|1].v[2]);
		tr[u].add--;
	}
}

void build(int u,int l,int r){
	tr[u].l=l,tr[u].r=r;
	if(l==r) {
		if(l&1){
			for(int i=0;i<3;i++)
				tr[u].v[i]=_base[(a[l]+i)%3];
		}else{
			for(int i=0;i<3;i++)
				tr[u].v[i]=base[(a[l]+i)%3];
		}
	}else{
		int mid=(l+r)/2;
		build(u<<1,l,mid);
		build(u<<1|1,mid+1,r);
		pushup(u);
	}
}

void modify(int u,int l,int r){
	if(tr[u].l>=l and tr[u].r<=r){
		tr[u].add+=1;
		swap(tr[u].v[0],tr[u].v[1]);
		swap(tr[u].v[1],tr[u].v[2]);
		return;
	}
	pushdown(u);
	int mid=(tr[u].l+tr[u].r)/2;
	if(l<=mid) modify(u<<1,l,r);
	if(r>mid) modify(u<<1|1,l,r);
	pushup(u);
}

Node query(int u,int l,int r){
	if(tr[u].l>=l and tr[u].r<=r) return tr[u];
	int mid=(tr[u].l+tr[u].r)/2;
	pushdown(u);
	if(r<=mid) return query(u<<1,l,r);
	else if(l>mid) return query(u<<1|1,l,r);
	else{
		Node res;
		pushup(res,query(u<<1,l,r),query(u<<1|1,l,r));
		return res;
	}
}

mt19937 rd(time(0));

void solve(){
	cin>>n>>q;
	for(int i=1;i<=n;i++){
		char c;
		cin>>c;
		a[i]=c-'0';
	}
	
	for(int i=0;i<3;i++){
		matrix<Mint> k(2);
		for(auto &x:k.data) x=Mint((LL)rd());
		base[i]=k;
		auto res=k.inv2();
		assert(res.first==1);
		_base[i]=res.second;
	}
	
	build(1,1,n);
	
	matrix<Mint> E({{1,0},{0,1}});
	while(q--){
		int op,l,r;
		cin>>op>>l>>r;
		if(op==1){
			modify(1,l,r);
		}else{
			auto t=query(1,l,r);
			if(t.v[0]==E) cout<<"Yes"<<endl;
			else cout<<"No"<<endl;
		}
	}
	
}

signed main(){
    fastio;
    
    int T;
    T=1;
    while(T--) solve();
    
    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: 37ms
memory: 224560kb

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: 817ms
memory: 223844kb

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
No
No
No
No
No
Yes
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
No
N...

result:

ok 248102 token(s): yes count is 9322, no count is 238780

Test #3:

score: 0
Accepted
time: 808ms
memory: 223704kb

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
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
Yes
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
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: 1338ms
memory: 223088kb

input:

1000 500000
010001011011010100000011110001101101101011110010111010011110010101100010110001110100010111010101100100111100111111100011001000000101100100101111110111011011110000101010111001111100110001100000011011100011111111010100101010110110100011110000101001100010110111010110001000100110110100000111...

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
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
...

result:

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

Test #5:

score: 0
Accepted
time: 1342ms
memory: 223208kb

input:

1000 500000
202011221110002000201111000002220121011012110120222101212012120002101120222210012210112202011121222201200211211122210122120201021222202222201102112101010210202120110111010212122020200221112122022202121200200110010012100002111210210002200210011210011222212012011010201121102121022200200110...

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
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
...

result:

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

Test #6:

score: 0
Accepted
time: 4297ms
memory: 318104kb

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
No
No
No
Yes
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
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: 4285ms
memory: 318160kb

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
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
...

result:

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

Test #8:

score: 0
Accepted
time: 4303ms
memory: 318160kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

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: 2394ms
memory: 318160kb

input:

500000 500000
0001111011000101100010000100000001110010100101010011010010101010011001000101011110111000111100100001000000101101011001101001011010110111101100110111111110010011111111111100110000001100100001100010011000000001011011110010100111101010001101000100110011111110111000110111110000101000010001...

output:

Yes
No
Yes
No
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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: 2334ms
memory: 318428kb

input:

500000 500000
1001012121120221010111021201201221111112012022002200212020201011201100002101022020120101222010011021020121102110211202120100002100121201102122011220122201220100100210222110112212220002122002110022112000012111101112211102120012120102001020221021211022111211201120001022122011201112101111...

output:

No
No
No
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Yes
No
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No
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No...

result:

ok 250064 token(s): yes count is 16110, no count is 233954

Test #11:

score: 0
Accepted
time: 2500ms
memory: 318168kb

input:

500000 500000
0110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101100110100110010110100101100110100110010110011010010110100110010110011010011001011010010110011010010110100110010110100101100110100110010110011010010110100110010110100101100110100101101001100101...

output:

No
No
Yes
No
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
Yes
No
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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: 2537ms
memory: 318236kb

input:

500000 500000
0112122012202001122020012001011212202001200101122001011201121220122020012001011220010112011212202001011201121220011212201220200112202001200101122001011201121220200101120112122001121220122020012001011201121220011212201220200101121220122020011220200120010112122020012001011220010112011212...

output:

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: 2585ms
memory: 318136kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
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...

result:

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

Test #14:

score: 0
Accepted
time: 2625ms
memory: 318236kb

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: 2626ms
memory: 318436kb

input:

500000 500000
1201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201...

output:

No
No
No
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No
No
No
...

result:

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

Test #16:

score: 0
Accepted
time: 4256ms
memory: 318328kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
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Yes
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Yes
Yes
Yes
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Yes
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Yes
Yes
Yes
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Yes
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Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
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: 4244ms
memory: 318396kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
No
No
No
Yes
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
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: 4156ms
memory: 318104kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
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Yes
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Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
Yes
Yes
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Yes
Yes
Yes
No
No
Yes
No
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
No
No
No
Yes
No
No
No
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: 3926ms
memory: 318072kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
No
No
Yes
No
No
Yes
No
No
No
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: 3665ms
memory: 318408kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
Yes
Yes
Yes
No
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
No
No
No
No
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
No
Yes
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: 3404ms
memory: 318324kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
No
No
No
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
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: 3264ms
memory: 318104kb

input:

500000 500000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

No
Yes
Yes
Yes
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
Yes
No
No
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
No
Yes
No
Yes
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: 3045ms
memory: 318404kb

input:

500000 500000
2120211202121010200201010120211202102102011020120121200212101210200201212020122102020121011012101021211212012020122102020212122121202020200202020102011020101201211210210212011021201210100101210212100121201210100101210121011012101021200212010101200210101020200202012101022010121010200201...

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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No
No
No
No...

result:

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

Test #24:

score: 0
Accepted
time: 3086ms
memory: 318404kb

input:

500000 500000
1210202120021202012120120201011010202102012121010110101212102021020201102020120212121021211212012121202101210220121012021201212120021212102121010121200212101012021012020220202101202120212101101212021201020212022021202010120102121001212010210102021020020120201012121010200201012121012010...

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

result:

ok 249788 token(s): yes count is 13, no count is 249775

Test #25:

score: 0
Accepted
time: 3134ms
memory: 318104kb

input:

500000 500000
1021201212020202010212020120120201212012010212121221212120102102121020210210202120102020202121021201201010121210121010202020202010120121010102120101200210102120101012102101020202020201012101212101010212121210120212101012021021020102121201212020201010010102020212102121201020120120210101...

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

result:

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

Test #26:

score: 0
Accepted
time: 3243ms
memory: 318144kb

input:

500000 500000
2102012102020210212121020120121010120121012012021010212101212102012010201212121012101210212102102120210201020121012021201021012010212021210202012010212020102121202021202121012121021010120210210202021212020212120121202012101201201012021212101210120101020201020121020210121020212012021212...

output:

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

result:

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

Test #27:

score: 0
Accepted
time: 3106ms
memory: 318144kb

input:

500000 500000
2102121210121212120202012120202010201212102010201021012020201020210210101210121201021212020210102121012010210101020201021010202010201201021010101020212020101210120101201210102020102010101021202102120210121010201012120121202102020121010212120102102102020120121010121010102012012021012010...

output:

No
No
No
No
No
Yes
Yes
No
No
No
No
No
No
No
No
No
No
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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: 2887ms
memory: 318172kb

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: 2815ms
memory: 318168kb

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: 2921ms
memory: 318160kb

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: 2473ms
memory: 318168kb

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