# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
41594 | gabrielsimoes | Boat (APIO16_boat) | C++14 | 8 ms | 1016 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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MOD = 1000000007;
const int MAXN = 510;
ll fastpow(ll a, ll b) {
ll result = 1;
ll cur = a;
while (b) {
if (b & 1) result = (result * cur) % MOD;
cur = (cur * cur) % MOD;
b >>= 1;
}
return result;
}
int n;
int va[MAXN], vb[MAXN];
ll dp[MAXN], sum[MAXN];
vector<int> splits;
vector<ll> v;
ll inv[MAXN];
ll bin(ll a, ll b) {
ll result = 1;
while (a && b) result = (result + (a--) * inv[b--]);
return result;
}
int main() {
for (int i = 1; i < MAXN; i++) inv[i] = fastpow(i, MOD - 2);
scanf("%d", &n);
for (int i = 1; i <= n; i++) {
scanf("%d %d", &va[i], &vb[i]);
vb[i]++;
splits.push_back(va[i]);
splits.push_back(vb[i]);
}
sort(splits.begin(), splits.end());
splits.resize(unique(splits.begin(), splits.end()) - splits.begin());
for (int i = 1; i <= n; i++) {
va[i] = (lower_bound(splits.begin(), splits.end(), va[i]) - splits.begin());
vb[i] = (lower_bound(splits.begin(), splits.end(), vb[i]) - splits.begin());
}
for (int split = 1; split < splits.size(); split++) {
ll splitSize = splits[split] - splits[split - 1];
for (int i = 1; i <= n; i++) {
if (va[i] < split && vb[i] >= split) {
dp[i] = (dp[i] + splitSize) % MOD;
v.push_back(sum[i - 1]);
for (auto p = v.rbegin(); p != v.rend(); p++) {
int cnt = (p - v.rbegin()) + 1;
if (cnt > 1)
dp[i] = (dp[i] + (*p) * bin(splitSize + cnt - 2, cnt)) % MOD;
else
dp[i] = (dp[i] + (*p) * splitSize) % MOD;
}
}
}
for (int i = 1; i <= n; i++) sum[i] = (sum[i - 1] + dp[i]) % MOD;
v.clear();
}
ll ans = 0;
for (int i = 1; i <= n; i++) ans = (ans + dp[i]) % MOD;
printf("%lld\n", ans);
}
Compilation message (stderr)
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