OJ-Problems-Source/HDOJ/5226_autoAC.cpp

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#include <stdio.h>
#include <iostream>
using namespace std;
#define maxn 101000
#define ll long long
ll A[maxn],inv[maxn];
ll mod;
ll Pow(ll a,ll b)
{
ll ret=1;
a%=mod;
while(b)
{
if(b&1) ret=ret*a%mod;
a=a*a%mod;
b>>=1;
}
return ret%mod;
}
void init()
{
A[0]=1,A[1]=1;
inv[1]=1;inv[0]=1;
for(int i=2;i<maxn;i++)
{A[i]=A[i-1]*(ll)i%mod;inv[i]=Pow(A[i],mod-2);}
}
ll C(ll a,ll b)
{
if(a<b) return 0;
if(a<mod&&b<mod) return (A[a]*inv[b]%mod)*inv[a-b]%mod;
return C(a/mod,b/mod)*C(a%mod,b%mod)%mod;
}
int main()
{
ll x,xx,y,yy;
while(scanf("%lld%lld%lld%lld%lld",&x,&y,&xx,&yy,&mod)!=EOF)
{
init();
ll ans=0;
if(y>x&&yy>xx&&y>xx) {printf("0\n");continue;}
if(y>x) x=y;
if(yy>xx) yy=xx;
ll st=x,en=xx,h=y;
while(h<=yy&&st<=en)
{
if(st<h) st=h;
ans=(ans+C(en+1,h+1)-C(st,h+1)+mod)%mod;
h++;
}
printf("%lld\n",ans);
}
return 0;
}