# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
91045 | RezwanArefin01 | Boat (APIO16_boat) | C++17 | 7 ms | 4472 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.
///usr/bin/g++ -O2 $0 -o ${0%.cpp} && echo "----------" && ./${0%.cpp}; exit;
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
const int N = 1024;
const int mod = 1e9 + 7;
int n, a[N], b[N], len[N], dp[N][N], inv[N];
map<int, int> com;
void add(int &a, int b) {
a += b; if(a >= mod) a -= mod;
}
int main(int argc, char const *argv[]) {
inv[1] = 1;
for(int i = 2; i < N; i++) {
inv[i] = -(mod / i) * (ll) inv[mod % i] % mod;
inv[i] += mod;
}
scanf("%d", &n);
vector<int> v;
for(int i = 1; i <= n; i++) {
scanf("%d %d", &a[i], &b[i]); b[i]++;
v.push_back(a[i]);
v.push_back(b[i]);
}
sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
for(int i = 0; i < v.size(); i++) com[v[i]] = i + 1;
for(int i = 1; i < v.size(); i++) len[i] = v[i] - v[i - 1];
for(int i = 1; i <= n; i++) a[i] = com[a[i]], b[i] = com[b[i]];
int m = v.size() - 1;
dp[0][0] = 1;
for(int k = 1; k <= m; k++) { dp[k][0] = 1;
for(int i = 1; i <= n; i++) {
dp[k][i] = dp[k - 1][i];
if(k < a[i] || k >= b[i]) continue;
int cnt = 1, prod = len[i];
for(int j = i - 1; j >= 0; j--) {
add(dp[k][i], (ll) prod * dp[k - 1][j] % mod);
if(a[j] <= k && k < b[j]) {
prod = (ll) prod * (cnt + len[k]) % mod * inv[++cnt] % mod;
}
}
}
}
int ans = 0;
for(int i = 1; i <= n; i++)
add(ans, dp[m][i]);
printf("%d\n", ans);
}
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