#include <bits/stdc++.h>
#define SZ(x) ((int)x.size())
#define ALL(x) (x).begin(), (x).end()
using namespace std;
typedef long long ll;
typedef long double ld;
const int MOD = 1e9 + 7;
int n, a[510], b[510];
int dp[510][1010], dp2[510][1010];
int sum[1010][510], scnt[1010][510], fac[510]={1}, inv[510]={1}, bigfac[1010][510];
vector<int> Vx;
int modpow(int a, long long n, int mod = MOD) {
int r = 1, b = a;
while(n > 0) {
if(n & 1) r = 1ll * r * b % mod;
b = 1ll * b * b % mod;
n >>= 1;
}
return r;
}
int main() {
scanf("%d", &n);
for(int i=1; i<=n; i++) {
scanf("%d%d", a+i, b+i); b[i]++;
Vx.push_back(a[i]);
Vx.push_back(b[i]);
}
sort(ALL(Vx));
Vx.erase(unique(ALL(Vx)), Vx.end());
for(int i=1; i<=500; i++) {
fac[i] = 1ll * fac[i-1] * i % MOD;
inv[i] = modpow(fac[i], MOD - 2);
}
for(int i=1; i<SZ(Vx); i++) {
int len = Vx[i] - Vx[i-1];
bigfac[i][0] = 1;
for(int j=1; j<=n; j++)
scnt[i][j] = scnt[i][j-1] + (min(b[j], Vx[i]) - max(a[j], Vx[i-1]) > 0);
for(int j=1; j<=n; j++)
bigfac[i][j] = 1ll * bigfac[i][j-1] * (len - j + 1) % MOD;
for(int j=1; j<=n; j++) {
for(int k=1; k<=j; k++) {
int c1 = 1ll * fac[j-1] * inv[k-1] % MOD * inv[j-k] % MOD;
int c2 = 1ll * bigfac[i][k] * inv[k] % MOD;
sum[i][j] = (sum[i][j] + 1ll * c1 * c2 % MOD) % MOD;
}
}
}
int res = 0;
for(int i=1; i<=n; i++) {
for(int j=1; j<SZ(Vx); j++) {
if(!(min(b[i], Vx[j]) - max(a[i], Vx[j-1]) > 0)) continue;
dp[i][j] = sum[j][scnt[j][i]];
for(int k=1; k<i; k++) {
dp[i][j] = (dp[i][j] + 1ll * dp2[k][j-1] * sum[j][scnt[j][i] - scnt[j][k]] % MOD) % MOD;
}
res = (res + dp[i][j]) % MOD;
}
for(int j=1; j<SZ(Vx); j++) dp2[i][j] = (dp2[i][j-1] + dp[i][j]) % MOD;
}
// sum[s][cnt] : sum(C(cnt-1, i-1) * C(Vx[s]-Vx[s-1], i)) for 1<=i<=cnt
printf("%d", res);
return 0;
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:22:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &n);
~~~~~^~~~~~~~~~
boat.cpp:24:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%d", a+i, b+i); b[i]++;
~~~~~^~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1531 ms |
10144 KB |
Output is correct |
2 |
Correct |
1521 ms |
10144 KB |
Output is correct |
3 |
Correct |
1549 ms |
10160 KB |
Output is correct |
4 |
Correct |
1495 ms |
10160 KB |
Output is correct |
5 |
Correct |
1462 ms |
10160 KB |
Output is correct |
6 |
Correct |
1531 ms |
10544 KB |
Output is correct |
7 |
Correct |
1531 ms |
10544 KB |
Output is correct |
8 |
Correct |
1480 ms |
10624 KB |
Output is correct |
9 |
Correct |
1483 ms |
10624 KB |
Output is correct |
10 |
Correct |
1487 ms |
10624 KB |
Output is correct |
11 |
Correct |
1452 ms |
10668 KB |
Output is correct |
12 |
Correct |
1547 ms |
10668 KB |
Output is correct |
13 |
Correct |
1699 ms |
10768 KB |
Output is correct |
14 |
Correct |
1569 ms |
10768 KB |
Output is correct |
15 |
Correct |
1608 ms |
10768 KB |
Output is correct |
16 |
Correct |
281 ms |
10768 KB |
Output is correct |
17 |
Correct |
329 ms |
10768 KB |
Output is correct |
18 |
Correct |
284 ms |
10768 KB |
Output is correct |
19 |
Correct |
354 ms |
10768 KB |
Output is correct |
20 |
Correct |
300 ms |
10768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1531 ms |
10144 KB |
Output is correct |
2 |
Correct |
1521 ms |
10144 KB |
Output is correct |
3 |
Correct |
1549 ms |
10160 KB |
Output is correct |
4 |
Correct |
1495 ms |
10160 KB |
Output is correct |
5 |
Correct |
1462 ms |
10160 KB |
Output is correct |
6 |
Correct |
1531 ms |
10544 KB |
Output is correct |
7 |
Correct |
1531 ms |
10544 KB |
Output is correct |
8 |
Correct |
1480 ms |
10624 KB |
Output is correct |
9 |
Correct |
1483 ms |
10624 KB |
Output is correct |
10 |
Correct |
1487 ms |
10624 KB |
Output is correct |
11 |
Correct |
1452 ms |
10668 KB |
Output is correct |
12 |
Correct |
1547 ms |
10668 KB |
Output is correct |
13 |
Correct |
1699 ms |
10768 KB |
Output is correct |
14 |
Correct |
1569 ms |
10768 KB |
Output is correct |
15 |
Correct |
1608 ms |
10768 KB |
Output is correct |
16 |
Correct |
281 ms |
10768 KB |
Output is correct |
17 |
Correct |
329 ms |
10768 KB |
Output is correct |
18 |
Correct |
284 ms |
10768 KB |
Output is correct |
19 |
Correct |
354 ms |
10768 KB |
Output is correct |
20 |
Correct |
300 ms |
10768 KB |
Output is correct |
21 |
Correct |
1620 ms |
10768 KB |
Output is correct |
22 |
Correct |
1621 ms |
10768 KB |
Output is correct |
23 |
Correct |
1619 ms |
10768 KB |
Output is correct |
24 |
Correct |
1756 ms |
10768 KB |
Output is correct |
25 |
Correct |
1783 ms |
10768 KB |
Output is correct |
26 |
Correct |
1848 ms |
10768 KB |
Output is correct |
27 |
Correct |
1885 ms |
10768 KB |
Output is correct |
28 |
Correct |
1770 ms |
10768 KB |
Output is correct |
29 |
Correct |
1950 ms |
10768 KB |
Output is correct |
30 |
Correct |
1507 ms |
10768 KB |
Output is correct |
31 |
Correct |
1508 ms |
10768 KB |
Output is correct |
32 |
Correct |
1461 ms |
10768 KB |
Output is correct |
33 |
Correct |
1490 ms |
10768 KB |
Output is correct |
34 |
Correct |
1723 ms |
10768 KB |
Output is correct |
35 |
Correct |
1749 ms |
10768 KB |
Output is correct |
36 |
Correct |
1691 ms |
10768 KB |
Output is correct |
37 |
Correct |
1572 ms |
10768 KB |
Output is correct |
38 |
Correct |
1546 ms |
10768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
10768 KB |
Output is correct |
2 |
Correct |
20 ms |
10768 KB |
Output is correct |
3 |
Correct |
18 ms |
10768 KB |
Output is correct |
4 |
Correct |
19 ms |
10768 KB |
Output is correct |
5 |
Correct |
24 ms |
10768 KB |
Output is correct |
6 |
Correct |
20 ms |
10768 KB |
Output is correct |
7 |
Correct |
19 ms |
10768 KB |
Output is correct |
8 |
Correct |
22 ms |
10768 KB |
Output is correct |
9 |
Correct |
27 ms |
10768 KB |
Output is correct |
10 |
Correct |
21 ms |
10768 KB |
Output is correct |
11 |
Correct |
19 ms |
10768 KB |
Output is correct |
12 |
Correct |
19 ms |
10768 KB |
Output is correct |
13 |
Correct |
21 ms |
10768 KB |
Output is correct |
14 |
Correct |
24 ms |
10768 KB |
Output is correct |
15 |
Correct |
24 ms |
10768 KB |
Output is correct |
16 |
Correct |
12 ms |
10768 KB |
Output is correct |
17 |
Correct |
12 ms |
10768 KB |
Output is correct |
18 |
Correct |
12 ms |
10768 KB |
Output is correct |
19 |
Correct |
16 ms |
10768 KB |
Output is correct |
20 |
Correct |
17 ms |
10768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1531 ms |
10144 KB |
Output is correct |
2 |
Correct |
1521 ms |
10144 KB |
Output is correct |
3 |
Correct |
1549 ms |
10160 KB |
Output is correct |
4 |
Correct |
1495 ms |
10160 KB |
Output is correct |
5 |
Correct |
1462 ms |
10160 KB |
Output is correct |
6 |
Correct |
1531 ms |
10544 KB |
Output is correct |
7 |
Correct |
1531 ms |
10544 KB |
Output is correct |
8 |
Correct |
1480 ms |
10624 KB |
Output is correct |
9 |
Correct |
1483 ms |
10624 KB |
Output is correct |
10 |
Correct |
1487 ms |
10624 KB |
Output is correct |
11 |
Correct |
1452 ms |
10668 KB |
Output is correct |
12 |
Correct |
1547 ms |
10668 KB |
Output is correct |
13 |
Correct |
1699 ms |
10768 KB |
Output is correct |
14 |
Correct |
1569 ms |
10768 KB |
Output is correct |
15 |
Correct |
1608 ms |
10768 KB |
Output is correct |
16 |
Correct |
281 ms |
10768 KB |
Output is correct |
17 |
Correct |
329 ms |
10768 KB |
Output is correct |
18 |
Correct |
284 ms |
10768 KB |
Output is correct |
19 |
Correct |
354 ms |
10768 KB |
Output is correct |
20 |
Correct |
300 ms |
10768 KB |
Output is correct |
21 |
Correct |
1620 ms |
10768 KB |
Output is correct |
22 |
Correct |
1621 ms |
10768 KB |
Output is correct |
23 |
Correct |
1619 ms |
10768 KB |
Output is correct |
24 |
Correct |
1756 ms |
10768 KB |
Output is correct |
25 |
Correct |
1783 ms |
10768 KB |
Output is correct |
26 |
Correct |
1848 ms |
10768 KB |
Output is correct |
27 |
Correct |
1885 ms |
10768 KB |
Output is correct |
28 |
Correct |
1770 ms |
10768 KB |
Output is correct |
29 |
Correct |
1950 ms |
10768 KB |
Output is correct |
30 |
Correct |
1507 ms |
10768 KB |
Output is correct |
31 |
Correct |
1508 ms |
10768 KB |
Output is correct |
32 |
Correct |
1461 ms |
10768 KB |
Output is correct |
33 |
Correct |
1490 ms |
10768 KB |
Output is correct |
34 |
Correct |
1723 ms |
10768 KB |
Output is correct |
35 |
Correct |
1749 ms |
10768 KB |
Output is correct |
36 |
Correct |
1691 ms |
10768 KB |
Output is correct |
37 |
Correct |
1572 ms |
10768 KB |
Output is correct |
38 |
Correct |
1546 ms |
10768 KB |
Output is correct |
39 |
Correct |
20 ms |
10768 KB |
Output is correct |
40 |
Correct |
20 ms |
10768 KB |
Output is correct |
41 |
Correct |
18 ms |
10768 KB |
Output is correct |
42 |
Correct |
19 ms |
10768 KB |
Output is correct |
43 |
Correct |
24 ms |
10768 KB |
Output is correct |
44 |
Correct |
20 ms |
10768 KB |
Output is correct |
45 |
Correct |
19 ms |
10768 KB |
Output is correct |
46 |
Correct |
22 ms |
10768 KB |
Output is correct |
47 |
Correct |
27 ms |
10768 KB |
Output is correct |
48 |
Correct |
21 ms |
10768 KB |
Output is correct |
49 |
Correct |
19 ms |
10768 KB |
Output is correct |
50 |
Correct |
19 ms |
10768 KB |
Output is correct |
51 |
Correct |
21 ms |
10768 KB |
Output is correct |
52 |
Correct |
24 ms |
10768 KB |
Output is correct |
53 |
Correct |
24 ms |
10768 KB |
Output is correct |
54 |
Correct |
12 ms |
10768 KB |
Output is correct |
55 |
Correct |
12 ms |
10768 KB |
Output is correct |
56 |
Correct |
12 ms |
10768 KB |
Output is correct |
57 |
Correct |
16 ms |
10768 KB |
Output is correct |
58 |
Correct |
17 ms |
10768 KB |
Output is correct |
59 |
Correct |
1883 ms |
10768 KB |
Output is correct |
60 |
Correct |
1875 ms |
10768 KB |
Output is correct |
61 |
Correct |
1922 ms |
10768 KB |
Output is correct |
62 |
Correct |
1961 ms |
10768 KB |
Output is correct |
63 |
Execution timed out |
2071 ms |
10768 KB |
Time limit exceeded |
64 |
Halted |
0 ms |
0 KB |
- |