| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 1032695 |
2024-07-24T06:19:37 Z |
Kerim |
Boat (APIO16_boat) |
C++17 |
|
2000 ms |
1876 KB |
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define sz(v) (int)(v).size()
const int md = (int)1e9 + 7;
const int N = (int)1e5 + 1;
vector<int> fct(N), inv(N), inv_fct(N);
int pw(int x, int y) {
int res = 1;
while (y) {
if (y & 1) res = (ll)res * x % md;
x = (ll)x * x % md; y >>= 1;
}
return res;
}
int C(int n, int r) {
int x = 1;
for (int i = 1; i <= r; i++) x = (ll)x * (n - r + i) % md;
return (ll)x * inv_fct[r] % md;
}
int main() {
// freopen("file.in", "r", stdin);
ios::sync_with_stdio(false); cin.tie(nullptr);
fct[0] = inv[0] = inv_fct[0] = 1;
for (int i = 1; i < N; i++) {
inv[i] = pw(i, md - 2);
fct[i] = (ll)fct[i - 1] * i % md;
inv_fct[i] = pw(fct[i], md - 2);
}
int n;
cin >> n;
map<int, vector<int>> m;
vector<int> a(n + 1), b(n + 1);
for (int i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
m[a[i]].push_back(i);
m[b[i] + 1].push_back(-i);
}
vector<int> mv;
for (auto i : m) mv.push_back(i.first);
set<int> s;
vector<int> dp(n + 1);
for (int ii = 0; ii + 1 < sz(mv); ii++) {
for (auto j : m[mv[ii]]) {
if (0 < j) s.insert(j);
else s.erase(-j);
}
int R = mv[ii + 1] - mv[ii];
vector<int> v(s.begin(), s.end()), nw_dp = dp;
vector<int> p(n + 1, 1), c(v.size());
for (int j = 1; j <= n; j++)
p[j] = (p[j - 1] + dp[j]) % md;
for (int j = 1; j < c.size(); j++)
c[j] = C(R, j + 1);
for (int i = 0; i < sz(v); i++) {
nw_dp[v[i]] = (dp[v[i]] + (ll)p[v[i] - 1] * R % md) % md;
for (int j = 1; j <= min(i, R - 1); j++) {
int x = (ll)fct[j - 1] * inv_fct[j - 1] % md;
for (int k = i - j; k >= 0; k--) {
if (k != i - j) x = ((ll)x * (i - k - 1) % md) * inv[i - k - j] % md;
nw_dp[v[i]] = (nw_dp[v[i]] + ((ll)p[v[k] - 1] * x % md) * c[j] % md) % md;
}
}
}
dp = nw_dp;
}
int sm = 0;
for (auto i : dp) sm = (sm + i) % md;
cout << sm << '\n';
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:72:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
72 | for (int j = 1; j < c.size(); j++)
| ~~^~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
33 ms |
1624 KB |
Output is correct |
| 2 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 3 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 4 |
Correct |
33 ms |
1636 KB |
Output is correct |
| 5 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 6 |
Correct |
33 ms |
1632 KB |
Output is correct |
| 7 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 8 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 9 |
Correct |
31 ms |
1624 KB |
Output is correct |
| 10 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 11 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 12 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 13 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 14 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 15 |
Correct |
31 ms |
1628 KB |
Output is correct |
| 16 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 17 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 19 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 20 |
Correct |
30 ms |
1628 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
33 ms |
1624 KB |
Output is correct |
| 2 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 3 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 4 |
Correct |
33 ms |
1636 KB |
Output is correct |
| 5 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 6 |
Correct |
33 ms |
1632 KB |
Output is correct |
| 7 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 8 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 9 |
Correct |
31 ms |
1624 KB |
Output is correct |
| 10 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 11 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 12 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 13 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 14 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 15 |
Correct |
31 ms |
1628 KB |
Output is correct |
| 16 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 17 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 19 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 20 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 21 |
Correct |
807 ms |
1824 KB |
Output is correct |
| 22 |
Correct |
752 ms |
1628 KB |
Output is correct |
| 23 |
Correct |
660 ms |
1760 KB |
Output is correct |
| 24 |
Correct |
816 ms |
1628 KB |
Output is correct |
| 25 |
Correct |
811 ms |
1624 KB |
Output is correct |
| 26 |
Correct |
1412 ms |
1628 KB |
Output is correct |
| 27 |
Correct |
1320 ms |
1832 KB |
Output is correct |
| 28 |
Correct |
1279 ms |
1628 KB |
Output is correct |
| 29 |
Correct |
1313 ms |
1820 KB |
Output is correct |
| 30 |
Correct |
27 ms |
1636 KB |
Output is correct |
| 31 |
Correct |
31 ms |
1624 KB |
Output is correct |
| 32 |
Correct |
26 ms |
1648 KB |
Output is correct |
| 33 |
Correct |
27 ms |
1632 KB |
Output is correct |
| 34 |
Correct |
28 ms |
1624 KB |
Output is correct |
| 35 |
Correct |
27 ms |
1628 KB |
Output is correct |
| 36 |
Correct |
27 ms |
1624 KB |
Output is correct |
| 37 |
Correct |
28 ms |
1640 KB |
Output is correct |
| 38 |
Correct |
27 ms |
1632 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
43 ms |
1624 KB |
Output is correct |
| 2 |
Correct |
35 ms |
1628 KB |
Output is correct |
| 3 |
Correct |
42 ms |
1628 KB |
Output is correct |
| 4 |
Correct |
42 ms |
1628 KB |
Output is correct |
| 5 |
Correct |
45 ms |
1632 KB |
Output is correct |
| 6 |
Correct |
105 ms |
1624 KB |
Output is correct |
| 7 |
Correct |
114 ms |
1624 KB |
Output is correct |
| 8 |
Correct |
108 ms |
1624 KB |
Output is correct |
| 9 |
Correct |
112 ms |
1624 KB |
Output is correct |
| 10 |
Correct |
113 ms |
1628 KB |
Output is correct |
| 11 |
Correct |
46 ms |
1624 KB |
Output is correct |
| 12 |
Correct |
38 ms |
1624 KB |
Output is correct |
| 13 |
Correct |
42 ms |
1632 KB |
Output is correct |
| 14 |
Correct |
41 ms |
1628 KB |
Output is correct |
| 15 |
Correct |
47 ms |
1628 KB |
Output is correct |
| 16 |
Correct |
34 ms |
1624 KB |
Output is correct |
| 17 |
Correct |
33 ms |
1628 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 19 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 20 |
Correct |
39 ms |
1628 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
33 ms |
1624 KB |
Output is correct |
| 2 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 3 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 4 |
Correct |
33 ms |
1636 KB |
Output is correct |
| 5 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 6 |
Correct |
33 ms |
1632 KB |
Output is correct |
| 7 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 8 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 9 |
Correct |
31 ms |
1624 KB |
Output is correct |
| 10 |
Correct |
32 ms |
1636 KB |
Output is correct |
| 11 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 12 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 13 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 14 |
Correct |
32 ms |
1624 KB |
Output is correct |
| 15 |
Correct |
31 ms |
1628 KB |
Output is correct |
| 16 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 17 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1632 KB |
Output is correct |
| 19 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 20 |
Correct |
30 ms |
1628 KB |
Output is correct |
| 21 |
Correct |
807 ms |
1824 KB |
Output is correct |
| 22 |
Correct |
752 ms |
1628 KB |
Output is correct |
| 23 |
Correct |
660 ms |
1760 KB |
Output is correct |
| 24 |
Correct |
816 ms |
1628 KB |
Output is correct |
| 25 |
Correct |
811 ms |
1624 KB |
Output is correct |
| 26 |
Correct |
1412 ms |
1628 KB |
Output is correct |
| 27 |
Correct |
1320 ms |
1832 KB |
Output is correct |
| 28 |
Correct |
1279 ms |
1628 KB |
Output is correct |
| 29 |
Correct |
1313 ms |
1820 KB |
Output is correct |
| 30 |
Correct |
27 ms |
1636 KB |
Output is correct |
| 31 |
Correct |
31 ms |
1624 KB |
Output is correct |
| 32 |
Correct |
26 ms |
1648 KB |
Output is correct |
| 33 |
Correct |
27 ms |
1632 KB |
Output is correct |
| 34 |
Correct |
28 ms |
1624 KB |
Output is correct |
| 35 |
Correct |
27 ms |
1628 KB |
Output is correct |
| 36 |
Correct |
27 ms |
1624 KB |
Output is correct |
| 37 |
Correct |
28 ms |
1640 KB |
Output is correct |
| 38 |
Correct |
27 ms |
1632 KB |
Output is correct |
| 39 |
Correct |
43 ms |
1624 KB |
Output is correct |
| 40 |
Correct |
35 ms |
1628 KB |
Output is correct |
| 41 |
Correct |
42 ms |
1628 KB |
Output is correct |
| 42 |
Correct |
42 ms |
1628 KB |
Output is correct |
| 43 |
Correct |
45 ms |
1632 KB |
Output is correct |
| 44 |
Correct |
105 ms |
1624 KB |
Output is correct |
| 45 |
Correct |
114 ms |
1624 KB |
Output is correct |
| 46 |
Correct |
108 ms |
1624 KB |
Output is correct |
| 47 |
Correct |
112 ms |
1624 KB |
Output is correct |
| 48 |
Correct |
113 ms |
1628 KB |
Output is correct |
| 49 |
Correct |
46 ms |
1624 KB |
Output is correct |
| 50 |
Correct |
38 ms |
1624 KB |
Output is correct |
| 51 |
Correct |
42 ms |
1632 KB |
Output is correct |
| 52 |
Correct |
41 ms |
1628 KB |
Output is correct |
| 53 |
Correct |
47 ms |
1628 KB |
Output is correct |
| 54 |
Correct |
34 ms |
1624 KB |
Output is correct |
| 55 |
Correct |
33 ms |
1628 KB |
Output is correct |
| 56 |
Correct |
32 ms |
1644 KB |
Output is correct |
| 57 |
Correct |
32 ms |
1628 KB |
Output is correct |
| 58 |
Correct |
39 ms |
1628 KB |
Output is correct |
| 59 |
Execution timed out |
2037 ms |
1876 KB |
Time limit exceeded |
| 60 |
Halted |
0 ms |
0 KB |
- |
