#include <bits/stdc++.h>
using namespace std;
using lli = int64_t;
#define INFILE "lis_regional.inp"
#define OUTFILE "lis_regional.out"
//Thank you GlowCheese
template <const int m>
struct Mint {
int v; static_assert(m > 0);
Mint(lli value = 0): v(value % m) { if (v < 0) v += m; }
friend istream& operator >> (istream& inp, Mint& a) {
lli x; inp >> x;
a = x; return inp;
}
friend ostream& operator << (ostream& out, const Mint& a) { out << a.v; return out; }
Mint operator + () const { return *this; }
Mint operator - () const { return Mint() - *this; }
Mint& operator++() { ++v; if (v == m) v = 0; return *this; }
Mint& operator--() { if (v == 0) v = m; --v; return *this; }
Mint operator++(int) { Mint ans = *this; ++*this; return ans; }
Mint operator--(int) { Mint ans = *this; --*this; return ans; }
Mint& operator += (const Mint& other) { v += other.v; if (v >= m) v -= m; return *this; }
Mint& operator -= (const Mint& other) { v -= other.v; if (v < 0) v += m; return *this; }
Mint& operator *= (const Mint& other) { v = int64_t(v) * other.v % m; if (v < 0) v += m; return *this; }
Mint inv() const {
lli a = 1, b = 0;
for (lli x = v, y = m; x != 0;)
swap(a, b -= y / x * a), swap(x, y -= y / x * x);
if (b < 0) b += m;
return b;
}
Mint& operator /= (const Mint& other) { return *this *= other.inv(); }
friend Mint operator + (const Mint& a, const Mint& b) { return Mint(a) += b; }
friend Mint operator - (const Mint& a, const Mint& b) { return Mint(a) -= b; }
friend Mint operator * (const Mint& a, const Mint& b) { return Mint(a) *= b; }
friend Mint operator / (const Mint& a, const Mint& b) { return Mint(a) /= b; }
friend bool operator == (const Mint& a, const Mint& b) { return a.v == b.v; }
friend bool operator != (const Mint& a, const Mint& b) { return a.v != b.v; }
};
const int mod = (int) 1e9 + 7;
using mint = Mint <mod>;
const int MAX_N = 500;
mint pref[MAX_N][2 * MAX_N], dp[MAX_N][2 * MAX_N];
mint inv[MAX_N + 10];
int main() {
ios::sync_with_stdio(0); cin.tie(0);
if (fopen(INFILE, "r")) {
freopen(INFILE, "r", stdin);
freopen(OUTFILE, "w", stdout);
}
int N; cin >> N;
vector <int> A(N), B(N);
vector <int> points;
for (int i = 0; i < N; ++i) {
cin >> A[i] >> B[i];
points.push_back(A[i]);
points.push_back(B[i] + 1);
}
for (int i = 1; i <= N; ++i) {
inv[i] = mint(1) / i;
}
sort(points.begin(), points.end());
points.erase(unique(points.begin(), points.end()), points.end());
const int M = (int) points.size();
for (int i = 0; i < N; ++i) {
for (int block = 0; block + 1 < M; ++block) {
mint coeff = 1;
for (int p = i; p >= 0; --p) {
if (points[block + 1] <= A[p] or points[block] >= B[p] + 1) break;
int len = i - p + 1;
coeff *= (points[block + 1] - points[block] - len + 1) * inv[len];
mint other = 1;
if (p > 0 and block > 0) {
other += pref[p - 1][block - 1];
}
// if (debugging) {
// cerr << "POS: " << p << ' ' << other << ' ' << coeff << '\n';
// cerr << (points[block + 1] - points[block] - len + 1) << ' ' << inv[len] << '\n';
// }
dp[i][block] += other * coeff;
}
pref[i][block] += dp[i][block];
if (block > 0) pref[i][block] += pref[i][block - 1];
}
if (i > 0) {
for (int block = 0; block + 1 < M; ++block) {
pref[i][block] += pref[i - 1][block];
}
}
// cerr << "DEBUG " << i << '\n';
// for (int block = 0; block + 1 < M; ++block) {
// cerr << points[block] << ' ' << points[block + 1] << ' ' << dp[i][block] << '\n';
// }
}
cout << pref[N - 1][M - 2];
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
boat.cpp: In function 'int main()':
boat.cpp:58:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
58 | freopen(INFILE, "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~
boat.cpp:59:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
59 | freopen(OUTFILE, "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |