| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 47635 |
2018-05-06T06:45:46 Z |
E869120 |
Boat (APIO16_boat) |
C++14 |
|
2000 ms |
23256 KB |
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
long long N, A[509], B[509], nr1[1009][1009], nr2[1009][1009], dp[1009][1009], inv[1009], mod = 1000000007; vector<long long>V;
long long rets[1009][1009];
long long modpow(long long a, long long b, long long m) {
long long p = 1, q = a;
for (int i = 0; i < 60; i++) {
if ((b / (1LL << i)) % 2 == 1) { p *= q; p %= m; }
q *= q; q %= m;
}
return p;
}
long long Div(long long a, long long b, long long m) {
return (a*modpow(b, m - 2, m)) % m;
}
void init() {
for (int i = 0; i <= 500; i++) {
for (int j = 0; j <= 500; j++) {
if (i == 0 || j == 0) nr1[i][j] = 1;
else nr1[i][j] = (nr1[i - 1][j] + nr1[i][j - 1]) % mod;
}
}
for (int i = 1; i <= 1000; i++) inv[i] = Div(1, i, mod);
for (int i = 0; i < V.size() - 1; i++) {
long long L = V[i + 1] - V[i], S = 1;
for (int j = 0; j <= 500; j++) {
if (L < j) break;
nr2[i][j] = S;
S *= (L - j); S %= mod;
S *= inv[j + 1]; S %= mod;
}
}
}
long long ncr(long long n, long long r) {
if (r < 0 || n < r) return 0;
return nr1[n - r][r];
}
long long solve(long long v, long long pos) {
if (rets[v][pos] >= 1) return rets[v][pos] - 1;
long long res = 0;
for (int i = 1; i <= v; i++) {
res += ncr(v - 1, i - 1)*nr2[pos][i];
res %= mod;
}
rets[v][pos] = res + 1;
return res;
}
int main() {
cin >> N;
for (int i = 1; i <= N; i++) {
cin >> A[i] >> B[i]; B[i]++;
V.push_back(A[i]);
V.push_back(B[i]);
}
sort(V.begin(), V.end());
V.erase(unique(V.begin(), V.end()), V.end());
for (int i = 1; i <= N; i++) {
A[i] = lower_bound(V.begin(), V.end(), A[i]) - V.begin();
B[i] = lower_bound(V.begin(), V.end(), B[i]) - V.begin();
}
init();
dp[0][1] = 1;
for (int i = 0; i < V.size() - 1; i++) {
for (int j = 1; j <= N + 1; j++) {
if (dp[i][j] == 0) continue;
dp[i + 1][j] += dp[i][j]; dp[i + 1][j] %= mod;
int G = 0;
for (int k = j + 1; k <= N + 1; k++) {
if (A[k - 1] <= i && i < B[k - 1]) {
G++;
dp[i + 1][k] += dp[i][j] * solve(G, i);
dp[i + 1][k] %= mod;
}
}
}
}
long long sum = 0;
for (int i = 2; i <= N + 1; i++) sum += dp[V.size() - 1][i];
cout << sum%mod << endl;
return 0;
}
Compilation message
boat.cpp: In function 'void init()':
boat.cpp:29:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < V.size() - 1; i++) {
~~^~~~~~~~~~~~~~
boat.cpp: In function 'int main()':
boat.cpp:69:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < V.size() - 1; i++) {
~~^~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
273 ms |
18240 KB |
Output is correct |
| 2 |
Correct |
267 ms |
18240 KB |
Output is correct |
| 3 |
Correct |
261 ms |
18240 KB |
Output is correct |
| 4 |
Correct |
255 ms |
18240 KB |
Output is correct |
| 5 |
Correct |
263 ms |
18240 KB |
Output is correct |
| 6 |
Correct |
162 ms |
18240 KB |
Output is correct |
| 7 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 8 |
Correct |
178 ms |
18240 KB |
Output is correct |
| 9 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 10 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 11 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 12 |
Correct |
167 ms |
18244 KB |
Output is correct |
| 13 |
Correct |
172 ms |
18244 KB |
Output is correct |
| 14 |
Correct |
157 ms |
18244 KB |
Output is correct |
| 15 |
Correct |
166 ms |
18244 KB |
Output is correct |
| 16 |
Correct |
56 ms |
18244 KB |
Output is correct |
| 17 |
Correct |
65 ms |
18244 KB |
Output is correct |
| 18 |
Correct |
57 ms |
18244 KB |
Output is correct |
| 19 |
Correct |
58 ms |
18244 KB |
Output is correct |
| 20 |
Correct |
58 ms |
18244 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
273 ms |
18240 KB |
Output is correct |
| 2 |
Correct |
267 ms |
18240 KB |
Output is correct |
| 3 |
Correct |
261 ms |
18240 KB |
Output is correct |
| 4 |
Correct |
255 ms |
18240 KB |
Output is correct |
| 5 |
Correct |
263 ms |
18240 KB |
Output is correct |
| 6 |
Correct |
162 ms |
18240 KB |
Output is correct |
| 7 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 8 |
Correct |
178 ms |
18240 KB |
Output is correct |
| 9 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 10 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 11 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 12 |
Correct |
167 ms |
18244 KB |
Output is correct |
| 13 |
Correct |
172 ms |
18244 KB |
Output is correct |
| 14 |
Correct |
157 ms |
18244 KB |
Output is correct |
| 15 |
Correct |
166 ms |
18244 KB |
Output is correct |
| 16 |
Correct |
56 ms |
18244 KB |
Output is correct |
| 17 |
Correct |
65 ms |
18244 KB |
Output is correct |
| 18 |
Correct |
57 ms |
18244 KB |
Output is correct |
| 19 |
Correct |
58 ms |
18244 KB |
Output is correct |
| 20 |
Correct |
58 ms |
18244 KB |
Output is correct |
| 21 |
Correct |
915 ms |
18244 KB |
Output is correct |
| 22 |
Correct |
884 ms |
18244 KB |
Output is correct |
| 23 |
Correct |
791 ms |
18244 KB |
Output is correct |
| 24 |
Correct |
828 ms |
18244 KB |
Output is correct |
| 25 |
Correct |
899 ms |
18244 KB |
Output is correct |
| 26 |
Correct |
1792 ms |
18244 KB |
Output is correct |
| 27 |
Correct |
1787 ms |
18524 KB |
Output is correct |
| 28 |
Correct |
1767 ms |
18524 KB |
Output is correct |
| 29 |
Correct |
1752 ms |
18524 KB |
Output is correct |
| 30 |
Correct |
164 ms |
18524 KB |
Output is correct |
| 31 |
Correct |
164 ms |
18524 KB |
Output is correct |
| 32 |
Correct |
173 ms |
18524 KB |
Output is correct |
| 33 |
Correct |
167 ms |
18524 KB |
Output is correct |
| 34 |
Correct |
165 ms |
18524 KB |
Output is correct |
| 35 |
Correct |
241 ms |
18524 KB |
Output is correct |
| 36 |
Correct |
242 ms |
18524 KB |
Output is correct |
| 37 |
Correct |
253 ms |
18524 KB |
Output is correct |
| 38 |
Correct |
251 ms |
18524 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 2 |
Correct |
24 ms |
18524 KB |
Output is correct |
| 3 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 4 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 5 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 6 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 7 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 8 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 9 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 10 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 11 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 12 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 13 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 14 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 15 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 16 |
Correct |
19 ms |
18524 KB |
Output is correct |
| 17 |
Correct |
18 ms |
18524 KB |
Output is correct |
| 18 |
Correct |
19 ms |
18524 KB |
Output is correct |
| 19 |
Correct |
18 ms |
18524 KB |
Output is correct |
| 20 |
Correct |
19 ms |
18524 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
273 ms |
18240 KB |
Output is correct |
| 2 |
Correct |
267 ms |
18240 KB |
Output is correct |
| 3 |
Correct |
261 ms |
18240 KB |
Output is correct |
| 4 |
Correct |
255 ms |
18240 KB |
Output is correct |
| 5 |
Correct |
263 ms |
18240 KB |
Output is correct |
| 6 |
Correct |
162 ms |
18240 KB |
Output is correct |
| 7 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 8 |
Correct |
178 ms |
18240 KB |
Output is correct |
| 9 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 10 |
Correct |
169 ms |
18240 KB |
Output is correct |
| 11 |
Correct |
165 ms |
18240 KB |
Output is correct |
| 12 |
Correct |
167 ms |
18244 KB |
Output is correct |
| 13 |
Correct |
172 ms |
18244 KB |
Output is correct |
| 14 |
Correct |
157 ms |
18244 KB |
Output is correct |
| 15 |
Correct |
166 ms |
18244 KB |
Output is correct |
| 16 |
Correct |
56 ms |
18244 KB |
Output is correct |
| 17 |
Correct |
65 ms |
18244 KB |
Output is correct |
| 18 |
Correct |
57 ms |
18244 KB |
Output is correct |
| 19 |
Correct |
58 ms |
18244 KB |
Output is correct |
| 20 |
Correct |
58 ms |
18244 KB |
Output is correct |
| 21 |
Correct |
915 ms |
18244 KB |
Output is correct |
| 22 |
Correct |
884 ms |
18244 KB |
Output is correct |
| 23 |
Correct |
791 ms |
18244 KB |
Output is correct |
| 24 |
Correct |
828 ms |
18244 KB |
Output is correct |
| 25 |
Correct |
899 ms |
18244 KB |
Output is correct |
| 26 |
Correct |
1792 ms |
18244 KB |
Output is correct |
| 27 |
Correct |
1787 ms |
18524 KB |
Output is correct |
| 28 |
Correct |
1767 ms |
18524 KB |
Output is correct |
| 29 |
Correct |
1752 ms |
18524 KB |
Output is correct |
| 30 |
Correct |
164 ms |
18524 KB |
Output is correct |
| 31 |
Correct |
164 ms |
18524 KB |
Output is correct |
| 32 |
Correct |
173 ms |
18524 KB |
Output is correct |
| 33 |
Correct |
167 ms |
18524 KB |
Output is correct |
| 34 |
Correct |
165 ms |
18524 KB |
Output is correct |
| 35 |
Correct |
241 ms |
18524 KB |
Output is correct |
| 36 |
Correct |
242 ms |
18524 KB |
Output is correct |
| 37 |
Correct |
253 ms |
18524 KB |
Output is correct |
| 38 |
Correct |
251 ms |
18524 KB |
Output is correct |
| 39 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 40 |
Correct |
24 ms |
18524 KB |
Output is correct |
| 41 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 42 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 43 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 44 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 45 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 46 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 47 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 48 |
Correct |
33 ms |
18524 KB |
Output is correct |
| 49 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 50 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 51 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 52 |
Correct |
25 ms |
18524 KB |
Output is correct |
| 53 |
Correct |
26 ms |
18524 KB |
Output is correct |
| 54 |
Correct |
19 ms |
18524 KB |
Output is correct |
| 55 |
Correct |
18 ms |
18524 KB |
Output is correct |
| 56 |
Correct |
19 ms |
18524 KB |
Output is correct |
| 57 |
Correct |
18 ms |
18524 KB |
Output is correct |
| 58 |
Correct |
19 ms |
18524 KB |
Output is correct |
| 59 |
Correct |
1008 ms |
22556 KB |
Output is correct |
| 60 |
Correct |
943 ms |
22556 KB |
Output is correct |
| 61 |
Correct |
895 ms |
22556 KB |
Output is correct |
| 62 |
Correct |
1033 ms |
22604 KB |
Output is correct |
| 63 |
Correct |
1012 ms |
22656 KB |
Output is correct |
| 64 |
Execution timed out |
2045 ms |
23256 KB |
Time limit exceeded |
| 65 |
Halted |
0 ms |
0 KB |
- |
