#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> ii;
#define SZ(x) ((int)x.size())
const int mod = (int)1e9+7;
int fast_pw(int a, int b) {
int res = 1;
while (b) {
if (b & 1) res = 1ll * res * a % mod;
a = 1ll * a * a % mod;
b >>= 1;
}
return res;
}
const int N = 505;
int n, f[N], g[N], ftmp[N], a[N], b[N], inv[N], tmp[N], m;
int choose[N][N], len[N*2], lenCk[N*2][N], c1[N];
vector<int> c;
void add(int &x, int y) {
x += y, x %= mod;
if (x < 0) x += mod;
}
int main() {
scanf("%d", &n);
for (int i = 1; i <= n; ++i) {
scanf("%d%d", &a[i], &b[i]);
++b[i];
c.push_back(a[i]);
c.push_back(b[i]);
}
sort(c.begin(), c.end());
c.resize(distance(c.begin(), unique(c.begin(), c.end())));
for (int i = 0; i <= n; ++i) choose[i][i] = choose[i][0] = 1;
inv[0] = f[0] = g[0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j < i; ++j)
choose[i][j] = (choose[i - 1][j - 1] + choose[i - 1][j]) % mod;
inv[i] = fast_pw(i, mod - 2);
g[i] = 1;
}
int sz = 0;
for (int i = 0; i < SZ(c) - 1; ++i) {
len[++sz] = c[i + 1] - c[i];
lenCk[sz][0] = 1;
for (int j = 1; j <= min(len[sz], n); ++j) {
lenCk[sz][j] = 1ll * lenCk[sz][j - 1] * (len[sz] - j + 1) % mod;
lenCk[sz][j] = 1ll * lenCk[sz][j] * inv[j] % mod;
}
}
for (int i = 1; i <= sz; ++i) {
m = 0;
for (int j = 1; j <= n; ++j)
if (a[j] <= c[i - 1] && c[i] <= b[j])
tmp[++m] = j;
for (int j = 1; j <= m; ++j) {
int id = tmp[j];
if (j == 1) {
for (int k = 0; k <= m; ++k) c1[k] = 0;
c1[1] = lenCk[i][1];
for (int k = 2; k <= m; ++k)
for (int x = 2; x <= min(k, len[i]); ++x)
add(c1[k], 1ll * lenCk[i][x] * choose[k - 2][x - 2] % mod);
}
for (int k = j; k <= m; ++k) {
int mid = k - j + 1, id2 = tmp[k];
add(ftmp[id2], 1ll * c1[mid] * g[id - 1] % mod);
}
}
g[0] = 1;
for (int j = 1; j <= n; ++j) {
add(f[j], ftmp[j]);
g[j] = (g[j - 1] + f[j]) % mod;
ftmp[j] = 0;
}
}
printf("%d", (g[n] - 1 + mod) % mod);
return 0;
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:34:17: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &n);
^
boat.cpp:36:30: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%d", &a[i], &b[i]);
^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 2 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 3 |
Correct |
12 ms |
3372 KB |
Output is correct |
| 4 |
Correct |
13 ms |
3440 KB |
Output is correct |
| 5 |
Correct |
12 ms |
3480 KB |
Output is correct |
| 6 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 7 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 8 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 9 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 10 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 11 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 12 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 13 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 14 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 15 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 16 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 17 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 18 |
Correct |
6 ms |
3548 KB |
Output is correct |
| 19 |
Correct |
5 ms |
3548 KB |
Output is correct |
| 20 |
Correct |
5 ms |
3548 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 2 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 3 |
Correct |
12 ms |
3372 KB |
Output is correct |
| 4 |
Correct |
13 ms |
3440 KB |
Output is correct |
| 5 |
Correct |
12 ms |
3480 KB |
Output is correct |
| 6 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 7 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 8 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 9 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 10 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 11 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 12 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 13 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 14 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 15 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 16 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 17 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 18 |
Correct |
6 ms |
3548 KB |
Output is correct |
| 19 |
Correct |
5 ms |
3548 KB |
Output is correct |
| 20 |
Correct |
5 ms |
3548 KB |
Output is correct |
| 21 |
Correct |
106 ms |
3548 KB |
Output is correct |
| 22 |
Correct |
95 ms |
3548 KB |
Output is correct |
| 23 |
Correct |
81 ms |
3548 KB |
Output is correct |
| 24 |
Correct |
92 ms |
3548 KB |
Output is correct |
| 25 |
Correct |
98 ms |
3548 KB |
Output is correct |
| 26 |
Correct |
200 ms |
3548 KB |
Output is correct |
| 27 |
Correct |
202 ms |
3548 KB |
Output is correct |
| 28 |
Correct |
199 ms |
3548 KB |
Output is correct |
| 29 |
Correct |
217 ms |
3548 KB |
Output is correct |
| 30 |
Correct |
11 ms |
3552 KB |
Output is correct |
| 31 |
Correct |
11 ms |
3564 KB |
Output is correct |
| 32 |
Correct |
10 ms |
3692 KB |
Output is correct |
| 33 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 34 |
Correct |
11 ms |
3692 KB |
Output is correct |
| 35 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 36 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 37 |
Correct |
13 ms |
3692 KB |
Output is correct |
| 38 |
Correct |
14 ms |
3692 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 2 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 3 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 4 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 5 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 7 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 8 |
Correct |
7 ms |
3692 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3692 KB |
Output is correct |
| 10 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 11 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 12 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 13 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 14 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 15 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 16 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 17 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 18 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 19 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 20 |
Correct |
3 ms |
3692 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 2 |
Correct |
12 ms |
3320 KB |
Output is correct |
| 3 |
Correct |
12 ms |
3372 KB |
Output is correct |
| 4 |
Correct |
13 ms |
3440 KB |
Output is correct |
| 5 |
Correct |
12 ms |
3480 KB |
Output is correct |
| 6 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 7 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 8 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 9 |
Correct |
13 ms |
3492 KB |
Output is correct |
| 10 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 11 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 12 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 13 |
Correct |
11 ms |
3492 KB |
Output is correct |
| 14 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 15 |
Correct |
11 ms |
3548 KB |
Output is correct |
| 16 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 17 |
Correct |
4 ms |
3548 KB |
Output is correct |
| 18 |
Correct |
6 ms |
3548 KB |
Output is correct |
| 19 |
Correct |
5 ms |
3548 KB |
Output is correct |
| 20 |
Correct |
5 ms |
3548 KB |
Output is correct |
| 21 |
Correct |
106 ms |
3548 KB |
Output is correct |
| 22 |
Correct |
95 ms |
3548 KB |
Output is correct |
| 23 |
Correct |
81 ms |
3548 KB |
Output is correct |
| 24 |
Correct |
92 ms |
3548 KB |
Output is correct |
| 25 |
Correct |
98 ms |
3548 KB |
Output is correct |
| 26 |
Correct |
200 ms |
3548 KB |
Output is correct |
| 27 |
Correct |
202 ms |
3548 KB |
Output is correct |
| 28 |
Correct |
199 ms |
3548 KB |
Output is correct |
| 29 |
Correct |
217 ms |
3548 KB |
Output is correct |
| 30 |
Correct |
11 ms |
3552 KB |
Output is correct |
| 31 |
Correct |
11 ms |
3564 KB |
Output is correct |
| 32 |
Correct |
10 ms |
3692 KB |
Output is correct |
| 33 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 34 |
Correct |
11 ms |
3692 KB |
Output is correct |
| 35 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 36 |
Correct |
12 ms |
3692 KB |
Output is correct |
| 37 |
Correct |
13 ms |
3692 KB |
Output is correct |
| 38 |
Correct |
14 ms |
3692 KB |
Output is correct |
| 39 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 40 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 41 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 42 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 43 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 44 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 45 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 46 |
Correct |
7 ms |
3692 KB |
Output is correct |
| 47 |
Correct |
7 ms |
3692 KB |
Output is correct |
| 48 |
Correct |
6 ms |
3692 KB |
Output is correct |
| 49 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 50 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 51 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 52 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 53 |
Correct |
4 ms |
3692 KB |
Output is correct |
| 54 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 55 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 56 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 57 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 58 |
Correct |
3 ms |
3692 KB |
Output is correct |
| 59 |
Correct |
238 ms |
3692 KB |
Output is correct |
| 60 |
Correct |
214 ms |
3692 KB |
Output is correct |
| 61 |
Correct |
204 ms |
3692 KB |
Output is correct |
| 62 |
Correct |
242 ms |
3816 KB |
Output is correct |
| 63 |
Correct |
224 ms |
3816 KB |
Output is correct |
| 64 |
Correct |
551 ms |
3816 KB |
Output is correct |
| 65 |
Correct |
539 ms |
3816 KB |
Output is correct |
| 66 |
Correct |
536 ms |
3816 KB |
Output is correct |
| 67 |
Correct |
544 ms |
3816 KB |
Output is correct |
| 68 |
Correct |
580 ms |
3816 KB |
Output is correct |
| 69 |
Correct |
201 ms |
3816 KB |
Output is correct |
| 70 |
Correct |
205 ms |
3816 KB |
Output is correct |
| 71 |
Correct |
207 ms |
3816 KB |
Output is correct |
| 72 |
Correct |
215 ms |
3816 KB |
Output is correct |
| 73 |
Correct |
216 ms |
3816 KB |
Output is correct |
| 74 |
Correct |
36 ms |
3816 KB |
Output is correct |
| 75 |
Correct |
34 ms |
3816 KB |
Output is correct |
| 76 |
Correct |
35 ms |
3816 KB |
Output is correct |
| 77 |
Correct |
35 ms |
3816 KB |
Output is correct |
| 78 |
Correct |
36 ms |
3816 KB |
Output is correct |
