Submission #1612327

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Source Code Expand

#include<bits/stdc++.h>
#define sqr(x) ((x)*(x))
#define ll long long
#define ull unsigned long long
#define ui unsigned int
#define ld long double
#define vi vector<int>
#define HEAP(...) priority_queue<__VA_ARGS__ >
#define heap(...) priority_queue<__VA_ARGS__,vector<__VA_ARGS__ >,greater<__VA_ARGS__ > > 
#define pii pair<ll,ll> 
#define pb push_back
#define mp make_pair
#define debuge cerr<<"isok"<<endl
#define debug(x) cerr<<#x<<"="<<x<<endl
#define dprintf(...) fprintf(stderr,__VA_ARGS__)
#define SS second
#define FF first
#define ls (k<<1)
#define rs (k<<1|1)
#define clr(a,x) memset(a,x,sizeof(a))
#define cpy(a,x) memcpy(a,x,sizeof(a))
#define file(x) freopen(x".in","r",stdin),freopen(x".out","w",stdout)
#define SZ(x) ((int)x.size())
using namespace std;
template<class T> inline void gmin(T &x,const T &y){if(x>y) x=y;}
template<class T> inline void gmax(T &x,const T &y){if(x<y) x=y;}
const int BufferSize=1<<16;
char buffer[BufferSize],*Bufferhead,*Buffertail;
bool Terminal;
inline char Getchar(){
	if(Bufferhead==Buffertail){
		int l=fread(buffer,1,BufferSize,stdin);
		if(!l){Terminal=1;return 0;}
		Buffertail=(Bufferhead=buffer)+l;
	}
	return *Bufferhead++;
}
template<class T>inline bool read(T &x){
	x=0;char c=Getchar(),rev=0;
	while(c<'0'||c>'9'){c=Getchar();rev|=c=='-';if(Terminal)return 0;}
	while(c>='0'&&c<='9') x=x*10+c-'0',c=Getchar();
	if(c=='.'){
		c=Getchar();double t=0.1;
		while(c>='0'&&c<='9') x=x+(c-'0')*t,c=Getchar(),t=t/10;
	}
	x=rev?-x:x;
	return 1;
}
template<class T1,class T2> inline bool read(T1 &x,T2 &y){return read(x)&read(y);}
template<class T1,class T2,class T3> inline bool read(T1 &x,T2 &y,T3 &z){return read(x)&read(y)&read(z);}
template<class T1,class T2,class T3,class T4> inline bool read(T1 &x,T2 &y,T3 &z,T4 &w){return read(x)&read(y)&read(z)&read(w);}
inline bool reads(char *x){
	char c=Getchar();
	while(c<33||c>126){c=Getchar();if(Terminal)return 0;}
	while(c>=33&&c<=126) (*x++)=c,c=Getchar();
	*x=0;return 1;
}
template<class T>inline void print(T x,const char c='\n'){
	if(!x){putchar('0');putchar(c);return;}
	if(x<0) putchar('-'),x=-x;
	int m=0,a[20];
	while(x) a[m++]=x%10,x/=10;
	while(m--) putchar(a[m]+'0');
	putchar(c);
}
//--------------------------------head---------------------------------------------

const int inf=0x3f3f3f3f;
const int N=100005,M=100005,mod=1e9+7;
template<class T,class S> inline void ch(T &x,const S y){x=(x+y)%mod;}
inline int exp(int x,int y,const int mod=::mod){
	int ans=1;
	while(y){
		if(y&1) ans=(ll)ans*x%mod;
		x=(ll)x*x%mod;y>>=1;
	}return ans;
}

int m,Q;
set<pii> a[200];
ll f[200];

inline int calc(ll X,ll Y,int k){
	int ans=0;
	for(auto j:a[k-1]){
		ll x=j.FF,y=j.SS;
		ch(ans,(y<=X)*((Y-x)/y));
	}
	return ans;
}

int main(){
#ifdef rqgao2014
	freopen("input.txt","r",stdin);
#endif
//	a[1].insert(mp(1,1));
	a[1].insert(mp(1,2));
	a[1].insert(mp(1,3));
	f[0]=f[1]=1;
	for(int i=2;;i++){
		f[i]=f[i-1]+f[i-2];
		if(f[i]>1e18){m=i-2;break;}
	}
	for(int i=2;i<=m;i++){
//		debug(i);
		for(auto j:a[i-1]){
			ll x=j.FF,y=j.SS;
//			if(x==y) continue;
			for(int k=1;;k++)
				if(x+k*y<=f[i+2]) a[i].insert(mp(y,x+k*y)); else break;
		}
	}
//	for(auto j:a[3])dprintf("%d %d\n",j.FF,j.SS);
	read(Q);
	while(Q--){
		ll X,Y;read(X,Y);
		int k=1;
		if(X>Y) swap(X,Y);
		for(int i=1;i<=m;i++)
			if(f[i]<=X&&f[i+1]<=Y) k=i;
		if(k==1){
			if(X==1) printf("%d %lld\n",1,Y%mod);
			if(X==2) puts("1 4");
			continue;
		}
		printf("%d %d\n",k,(calc(X,Y,k)+calc(Y,X,k))%mod);
	}
	return 0;
}

Submission Info

Judge Result