# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
547871 | Olympia | Boat (APIO16_boat) | C++17 | 427 ms | 8176 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <cmath>
#include <iostream>
#include <set>
#include <climits>
#include <algorithm>
#include <cassert>
#include <vector>
#include <iomanip>
#include <type_traits>
#include <string>
#include <queue>
#include <map>
const int MOD = 1e9 + 7;
using namespace std;
int64_t binPow (int64_t x, int64_t y) {
int64_t ans = 1, res = x;
while (y) {
if (y & 1) ans *= res, ans %= MOD;
res *= res, res %= MOD, y /= 2;
}
return ans;
}
int64_t inv (int64_t x) {
return binPow(x, MOD - 2);
}
vector<pair<int,int>> compress (vector<pair<int,int>> &vec) {
set<int> s;
for (auto& p: vec) {
s.insert(p.first), s.insert(p.second);
}
vector<int> v; for (int i: s) v.push_back(i);
vector<pair<int,int>> grids;
for (int i = 0; i < v.size(); i++) {
grids.emplace_back(v[i], v[i]);
if (i + 1 != v.size() && v[i] + 1 <= v[i + 1] - 1) grids.emplace_back(v[i] + 1, v[i + 1] - 1);
}
return grids;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N; cin >> N;
vector<pair<int,int>> points(N);
for (int i = 0; i < N; i++) cin >> points[i].first >> points[i].second;
vector<pair<int,int>> grid = compress(points);
int64_t combo[grid.size()][N + 1];
for (int i = 0; i < grid.size(); i++) {
combo[i][0] = 1;
for (int j = 1; j <= N; j++) {
combo[i][j] = ((combo[i][j - 1] * inv(j)) % MOD * (int64_t)(grid[i].second - grid[i].first - j + 2)) % MOD;
}
for (int j = grid[i].second - grid[i].first + 2; j <= N; j++) {
combo[i][j] = 0;
}
}
int64_t dp[N][grid.size()];
for (int i = 0; i < grid.size(); i++) {
dp[0][i] = (grid[i].first >= points[0].first && grid[i].second <= points[0].second) * (points[0].second - points[0].first + 1);
}
for (int i = 1; i < N; i++) {
for (int j = 0; j < grid.size(); j++) {
dp[i][j] = (j == 0) ? 1 : dp[i][j - 1];
int pos = 0;
for (int k = i; k >= 0; k--) {
pos += (grid[j].first >= points[k].first && grid[j].second <= points[k].second);
dp[i][j] += ((k == 0 || j == 0) ? 1 : dp[k - 1][j - 1]) * combo[j][pos];
}
}
}
cout << (dp[N - 1][grid.size() - 1] + MOD - 1) % MOD;
}
컴파일 시 표준 에러 (stderr) 메시지
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