#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 dp[2][2 * MAX_N][MAX_N + 10];
mint choose_len[2 * MAX_N][MAX_N + 10];
mint pref[2 * MAX_N];
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);
}
sort(points.begin(), points.end());
points.erase(unique(points.begin(), points.end()), points.end());
const int M = (int) points.size();
for (int block = 0; block + 1 < M; ++block) {
int total_len = points[block + 1] - points[block];
choose_len[block][0] = 1;
for (int len = 1; len <= N; ++len) {
choose_len[block][len] = choose_len[block][len - 1] * (total_len - len + 1) / len;
}
}
for (int block = 0; block + 1 < M; ++block) {
dp[0][block][1] = points[block] >= A[0] and points[block + 1] <= B[0] + 1;
}
for (int i = 1; i < N; ++i) {
memset(pref, 0, sizeof pref);
int nxt = i & 1, prv = nxt ^ 1;
memset(dp[nxt], 0, sizeof dp[nxt]);
for (int block = 0; block + 1 < M; ++block) {
for (int cons = 1; cons <= i; ++cons) {
mint& now = dp[prv][block][cons];
dp[nxt][block][cons] += now;
if (points[block] >= A[i] and points[block + 1] <= B[i] + 1) {
dp[nxt][block][cons + 1] += now;
}
if (block + 2 < M) {
pref[block + 1] += now * choose_len[block][cons];
}
}
}
for (int block = 0; block + 1 < M; ++block) {
if (block > 0) pref[block] += pref[block - 1];
if (points[block] >= A[i] and points[block + 1] <= B[i] + 1) {
dp[nxt][block][1] += pref[block] + 1;
}
}
}
mint ans = 0;
for (int block = 0; block + 1 < M; ++block) {
for (int cons = 1; cons <= N; ++cons) {
ans += dp[(N - 1) & 1][block][cons] * choose_len[block][cons];
}
}
cout << ans;
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
boat.cpp: In function 'int main()':
boat.cpp:61:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
61 | freopen(INFILE, "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~
boat.cpp:62:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
62 | freopen(OUTFILE, "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
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