제출 #716723

#제출 시각아이디문제언어결과실행 시간메모리
716723snpmrnhlolBoat (APIO16_boat)C++11
100 / 100
942 ms4660 KiB
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int segs[250001],dp[250001]; int length[1001]; int segl[1001]; int l[501],r[501]; int dp2[1001]; int inv[250001]; vector <int> v2[1001]; int p(int a,int b){ int r = 1; while(b > 0){ if(b%2 == 1)r = 1ll*r*a%mod; a = 1ll*a*a%mod; b/=2; } return r; } void precalc(){ for(int i = 0;i <= 250000;i++){ inv[i] = p(i,mod - 2); } } int main(){ precalc(); int n,i,cnt = 1,j,cnt2 = 0,ans = 0; cin>>n; for(i = 0;i < n;i++){ cin>>l[i]>>r[i]; segl[i*2] = l[i]; segl[i*2+1] = r[i] + 1; } sort(segl,segl + 2*n); for(i = 1;i < 2*n;i++){ if(segl[i] != segl[cnt - 1]){ segl[cnt++] = segl[i]; } } for(i = 0;i < n;i++){ for(j = cnt - 1;j >= 0;j--){ if(l[i] <= segl[j] && segl[j] <= r[i]){ segs[cnt2++] = j; length[j] = segl[j + 1] - segl[j]; } } } segs[cnt2++] = cnt; length[cnt] = 1; for(i = 0;i < cnt2;i++){ dp[i] = 1; for(j = segs[i] - 1;j >= 0;j--){ dp[i]+=dp2[j]; dp[i]%=mod; } ///update dp2[segs[i]] dp2[segs[i]] = 0; v2[segs[i]].push_back(dp[i]); int prod = length[segs[i]]; for(j = v2[segs[i]].size() - 1;j >= 0;j--){ dp2[segs[i]] = (dp2[segs[i]] + 1ll*v2[segs[i]][j]*prod)%mod; prod = 1ll*prod*(length[segs[i]] + v2[segs[i]].size() - j)%mod; prod = 1ll*prod*inv[v2[segs[i]].size() - j + 1]%mod; } } ans = (dp[cnt2 - 1] + mod - 1)%mod; cout<<ans; return 0; }
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