#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T; double f, mx;
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo #define N 1000010 int n, m, i, j, k, T; char s[N];
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T; double f;
#include<bits/stdc++.h> usingnamespace std; #define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;
#include<bits/stdc++.h> usingnamespace std; #define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;
#include<bits/stdc++.h> usingnamespace std; #define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T; double x, y;
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;
#include<bits/stdc++.h> usingnamespace std; //#define int long long inlineintread(){int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1; ch=getchar();}while(ch>='0'&&ch<='9'){x=(x<<1)+ (x<<3)+(ch^48);ch=getchar();}return x*f;} //#define M //#define mo //#define N int n, m, i, j, k, T;