Submission #632171

#TimeUsernameProblemLanguageResultExecution timeMemory
632171bachhoangxuanBoat (APIO16_boat)C++17
0 / 100
6 ms4308 KiB
#include<bits/stdc++.h> using namespace std; #define maxn 1005 #define int long long const int mod=1e9+7; int power(int a,int n){ int res=1; while(n){ if(n&1) res=(res*a)%mod; a=(a*a)%mod;n>>=1; } return res; } vector<int> x; int n,l[maxn],r[maxn],dp[maxn][maxn],divs[maxn]; signed main(){ ios_base::sync_with_stdio(false); cin.tie(NULL);cout.tie(NULL); cin >> n;divs[0]=1; for(int i=1;i<=n;i++){ cin >> l[i] >> r[i]; divs[i]=divs[i-1]*power(i,mod-2); l[i]-=i;r[i]-=i;r[i]++; x.push_back(l[i]);x.push_back(r[i]); } sort(x.begin(),x.end()); x.erase(unique(x.begin(),x.end()),x.end()); int m=(int)x.size(); for(int i=1;i<=n;i++){ l[i]=lower_bound(x.begin(),x.end(),l[i])-x.begin()+1; r[i]=lower_bound(x.begin(),x.end(),r[i])-x.begin(); } for(int i=0;i<=m;i++) dp[0][i]=1; for(int i=1;i<=n;i++){ for(int j=1;j<m;j++){ dp[i][j]=dp[i][j-1]; if(j<l[i] || j>r[i]) continue; int len=x[j]-x[j-1],mul=1; for(int k=i-1;k>=0;k--){ mul=mul*(len+i-k-1)%mod*divs[i-k]%mod; dp[i][j]=(dp[i][j]+dp[k][j-1]*mul)%mod; } } for(int j=0;j<m;j++) dp[i][j]=(dp[i][j]+dp[i-1][j])%mod; } cout << (dp[n][m-1]+mod-1)%mod << '\n'; }
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