| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 34899 |
2017-11-16T16:33:38 Z |
cheater2k |
Boat (APIO16_boat) |
C++14 |
|
536 ms |
5240 KB |
#include <bits/stdc++.h>
using namespace std;
const int N = 510;
const int md = 1e9 + 7;
int n;
int a[N], b[N];
vector<int> z;
int len[N * 2], sz;
int clen[N * 2][N], c[N][N];
int f[N], sum[N], g[N];
int pw(int a, int b) {
int res = 1;
while(b) {
if (b & 1) res = 1LL * res * a % md;
a = 1LL * a * a % md;
b >>= 1;
}
return res;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n;
for (int i = 1; i <= n; ++i) {
cin >> a[i] >> b[i]; ++b[i];
z.push_back(a[i]); z.push_back(b[i]);
}
sort(z.begin(), z.end());
z.resize(distance(z.begin(), unique(z.begin(), z.end())));
for (int i = 0; i < (int)z.size() - 1; ++i) {
len[++sz] = z[i + 1] - z[i];
clen[sz][0] = 1;
for (int j = 1; j <= n; ++j) {
if (j > len[sz]) continue;
clen[sz][j] = 1LL * clen[sz][j-1] * (len[sz] - j + 1) % md;
clen[sz][j] = 1LL * clen[sz][j] * pw(j, md - 2) % md;
}
}
for (int i = 0; i <= n; ++i) c[i][0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= i; ++j) c[i][j] = (c[i-1][j-1] + c[i-1][j]) % md;
}
for (int k = 1; k <= sz; ++k) {
vector<int> cand;
for (int i = 1; i <= n; ++i) {
if (a[i] <= z[k - 1] && z[k] <= b[i]) cand.push_back(i);
}
int s = cand.size();
for (int i = 0; i < s; ++i) {
if (i == 0) {
for (int gap = 0; gap <= s; ++gap) g[gap] = 0;
g[1] = len[k];
for (int j = 1; j < s; ++j) {
int gap = j - i + 1;
for (int choose = 2; choose <= gap && choose <= len[k]; ++choose) {
g[gap] = (g[gap] + 1LL * clen[k][choose] * c[gap-2][choose-2]) % md;
}
}
}
for (int j = i; j < s; ++j) {
f[j] = (f[j] + 1LL * g[j - i + 1] * (sum[cand[i]-1] + 1)) % md;
}
}
int cur = 0, pt = 0;
for (int i = 1; i <= n; ++i) {
while(pt < s && cand[pt] == i) cur = (cur + f[pt]) % md, f[pt] = 0, ++pt;
sum[i] = (sum[i] + cur) % md;
}
}
cout << sum[n] << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 2 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 3 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 4 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 5 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 6 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 7 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 8 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 9 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 10 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 11 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 12 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 13 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 14 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 15 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 16 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 17 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 18 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
13 ms |
5240 KB |
Output is correct |
| 20 |
Correct |
9 ms |
5240 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 2 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 3 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 4 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 5 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 6 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 7 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 8 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 9 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 10 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 11 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 12 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 13 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 14 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 15 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 16 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 17 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 18 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
13 ms |
5240 KB |
Output is correct |
| 20 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 21 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 22 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 23 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 24 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 25 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 26 |
Correct |
136 ms |
5240 KB |
Output is correct |
| 27 |
Correct |
139 ms |
5240 KB |
Output is correct |
| 28 |
Correct |
146 ms |
5240 KB |
Output is correct |
| 29 |
Correct |
133 ms |
5240 KB |
Output is correct |
| 30 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 31 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 32 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 33 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 34 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 35 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 36 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 37 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 38 |
Correct |
53 ms |
5240 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 2 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 3 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 4 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 5 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 6 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 7 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 8 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 9 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 10 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 11 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 12 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 13 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 14 |
Correct |
0 ms |
5240 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 16 |
Correct |
0 ms |
5240 KB |
Output is correct |
| 17 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 18 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 20 |
Correct |
3 ms |
5240 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 2 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 3 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 4 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 5 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 6 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 7 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 8 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 9 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 10 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 11 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 12 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 13 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 14 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 15 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 16 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 17 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 18 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
13 ms |
5240 KB |
Output is correct |
| 20 |
Correct |
9 ms |
5240 KB |
Output is correct |
| 21 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 22 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 23 |
Correct |
59 ms |
5240 KB |
Output is correct |
| 24 |
Correct |
66 ms |
5240 KB |
Output is correct |
| 25 |
Correct |
63 ms |
5240 KB |
Output is correct |
| 26 |
Correct |
136 ms |
5240 KB |
Output is correct |
| 27 |
Correct |
139 ms |
5240 KB |
Output is correct |
| 28 |
Correct |
146 ms |
5240 KB |
Output is correct |
| 29 |
Correct |
133 ms |
5240 KB |
Output is correct |
| 30 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 31 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 32 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 33 |
Correct |
49 ms |
5240 KB |
Output is correct |
| 34 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 35 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 36 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 37 |
Correct |
56 ms |
5240 KB |
Output is correct |
| 38 |
Correct |
53 ms |
5240 KB |
Output is correct |
| 39 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 40 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 41 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 42 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 43 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 44 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 45 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 46 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 47 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 48 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 49 |
Correct |
6 ms |
5240 KB |
Output is correct |
| 50 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 51 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 52 |
Correct |
0 ms |
5240 KB |
Output is correct |
| 53 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 54 |
Correct |
0 ms |
5240 KB |
Output is correct |
| 55 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 56 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 57 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 58 |
Correct |
3 ms |
5240 KB |
Output is correct |
| 59 |
Correct |
289 ms |
5240 KB |
Output is correct |
| 60 |
Correct |
273 ms |
5240 KB |
Output is correct |
| 61 |
Correct |
279 ms |
5240 KB |
Output is correct |
| 62 |
Correct |
303 ms |
5240 KB |
Output is correct |
| 63 |
Correct |
279 ms |
5240 KB |
Output is correct |
| 64 |
Correct |
513 ms |
5240 KB |
Output is correct |
| 65 |
Correct |
526 ms |
5240 KB |
Output is correct |
| 66 |
Correct |
529 ms |
5240 KB |
Output is correct |
| 67 |
Correct |
506 ms |
5240 KB |
Output is correct |
| 68 |
Correct |
536 ms |
5240 KB |
Output is correct |
| 69 |
Correct |
283 ms |
5240 KB |
Output is correct |
| 70 |
Correct |
269 ms |
5240 KB |
Output is correct |
| 71 |
Correct |
273 ms |
5240 KB |
Output is correct |
| 72 |
Correct |
269 ms |
5240 KB |
Output is correct |
| 73 |
Correct |
276 ms |
5240 KB |
Output is correct |
| 74 |
Correct |
36 ms |
5240 KB |
Output is correct |
| 75 |
Correct |
33 ms |
5240 KB |
Output is correct |
| 76 |
Correct |
33 ms |
5240 KB |
Output is correct |
| 77 |
Correct |
33 ms |
5240 KB |
Output is correct |
| 78 |
Correct |
36 ms |
5240 KB |
Output is correct |
