# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
249200 | sahil_k | Gap (APIO16_gap) | C++14 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define MOD 1000000007
int n;
int s_val[510], e_val[510];
vector<int> pts;
int s_id[510], e_id[510];
long long dp1[510][1010];
long long dp2[510][1010];
long long calc (long long a) {
return (a*(a-1)/2)%MOD;
}
int main () {
cin >> n;
for (int i=0; i<n; i++) {
cin >> s_val[i] >> e_val[i];
pts.push_back(s_val[i]);
pts.push_back(e_val[i]);
}
pts.push_back(0);
sort(pts.begin(), pts.end());
pts.resize(unique(pts.begin(), pts.end())-pts.begin());
for (int i=0; i<n; i++) {
s_id[i+1] = lower_bound(pts.begin(), pts.end(), s_val[i])-pts.begin();
e_id[i+1] = lower_bound(pts.begin(), pts.end(), e_val[i])-pts.begin();
}
int m = pts.size();
dp1[0][0] = 1;
for (int j=1; j<m; j++) {
dp2[0][j] = 1;
}
for (int i=1; i<=n; i++) {
dp1[i][0] = 1;
for (int j=1; j<m; j++) {
dp1[i][j] = dp1[i-1][j];
if (s_id[i] <= j && j <= e_id[i]) dp1[i][j] = (dp1[i][j]+dp2[i-1][j])%MOD;
dp2[i][j] = (MOD+dp2[i-1][j]-dp2[i-1][j-1])%MOD;
dp2[i][j] = (dp2[i][j]+dp2[i][j-1])%MOD;
if (s_id[i] < j && j <= e_id[i]) {
dp2[i][j] = (dp2[i][j]+(dp2[i-1][j-1]*(pts[j]-pts[j-1]))%MOD)%MOD;
dp2[i][j] = (dp2[i][j]+(dp1[i-1][j-1]*calc(pts[j]-pts[j-1]))%MOD)%MOD;
}
if (j == e_id[i]+1) dp2[i][j] = (MOD+dp2[i][j]+dp1[i][j-1]-dp1[i-1][j-1])%MOD;
}
}
cout << (MOD+dp2[n][m-1]+dp1[n][m-1]-1)%MOD << endl;
}