# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
480663 |
2021-10-17T15:10:50 Z |
TAMREF |
Boat (APIO16_boat) |
C++17 |
|
2000 ms |
8268 KB |
#include <bits/stdc++.h>
#define va first
#define vb second
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
#define pp push_back
#define ep emplace_back
#define all(v) (v).begin(),(v).end()
#define szz(v) ((int)(v).size())
#define bi_pc __builtin_popcount
#define bi_pcll __builtin_popcountll
#define bi_tz __builtin_ctz
#define bi_tzll __builtin_ctzll
#define fio ios_base::sync_with_stdio(0);cin.tie(0);
#ifdef TAMREF
#define debug(...) fprintf(stderr, __VA_ARGS__)
#else
#define debug(...) 42
#endif
using namespace std;
using ll = long long; using lf = long double;
using pii = pair<int,int>; using ppi = pair<int,pii>;
using pll = pair<ll,ll>; using pff = pair<lf,lf>;
using ti = tuple<int,int,int>;
using base = complex<double>;
const lf PI = 3.14159265358979323846264338L;
template <typename T>
inline T umax(T& u, T v){return u = max(u, v);}
template <typename T>
inline T umin(T& u, T v){return u = min(u, v);}
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
const int mod = 1e9 + 7;
ll inv[505] = {0, 1};
int n;
vector<int> cmp;
int a[505], b[505];
ll a_Ijk[2][1005][505]; // i' < i, j' = j, k' = k
ll b_ij[2][1005]; //i' < i, j' < j, k' arb
ll ans;
int main(){
fio;
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
++b[i];
cmp.pp(a[i]); cmp.pp(b[i]);
}
for(int i = 2; i <= n; i++) {
inv[i] = mod - inv[mod % i] * (mod / i) % mod;
debug("inv[%d] = %lld\n", i, inv[i]);
}
sort(all(cmp)); cmp.erase(unique(all(cmp)), cmp.end());
int d = szz(cmp);
for(int i = 1; i <= n; i++) {
a[i] = lb(all(cmp), a[i]) - cmp.begin() + 1;
b[i] = lb(all(cmp), b[i]) - cmp.begin() + 1;
}
for(int i = 1; i <= n; i++) {
for(int j = 1; j < d; j++) {
b_ij[i & 1][j] = (b_ij[~i & 1][j] + b_ij[i & 1][j-1] + mod - b_ij[~i & 1][j-1]) % mod;
for(int k = 1; k <= n; k++) {
a_Ijk[i & 1][j][k] = a_Ijk[~i & 1][j][k];
ll dp = 0;
if(a[i] <= j && j < b[i]) {
ll len = cmp[j] - cmp[j-1];
if(k == 1) {
dp = (1 + b_ij[~i & 1][j-1]) * len % mod;
}else{
dp = a_Ijk[~i & 1][j][k-1] * (len - k + 1) % mod * inv[k] % mod;
}
}
(a_Ijk[i & 1][j][k] += dp) %= mod;
(b_ij[i & 1][j] += dp) %= mod;
(ans += dp) %= mod;
}
}
}
cout << ans << endl;
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:19:20: warning: statement has no effect [-Wunused-value]
19 | #define debug(...) 42
| ^~
boat.cpp:56:9: note: in expansion of macro 'debug'
56 | debug("inv[%d] = %lld\n", i, inv[i]);
| ^~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1217 ms |
8236 KB |
Output is correct |
2 |
Correct |
1253 ms |
8236 KB |
Output is correct |
3 |
Correct |
1240 ms |
8236 KB |
Output is correct |
4 |
Correct |
1230 ms |
8232 KB |
Output is correct |
5 |
Correct |
1309 ms |
8236 KB |
Output is correct |
6 |
Correct |
1209 ms |
8268 KB |
Output is correct |
7 |
Correct |
1237 ms |
8236 KB |
Output is correct |
8 |
Correct |
1209 ms |
8244 KB |
Output is correct |
9 |
Correct |
1269 ms |
8232 KB |
Output is correct |
10 |
Correct |
1216 ms |
8232 KB |
Output is correct |
11 |
Correct |
1219 ms |
8236 KB |
Output is correct |
12 |
Correct |
1263 ms |
8232 KB |
Output is correct |
13 |
Correct |
1233 ms |
8232 KB |
Output is correct |
14 |
Correct |
1225 ms |
8232 KB |
Output is correct |
15 |
Correct |
1225 ms |
8140 KB |
Output is correct |
16 |
Correct |
217 ms |
1740 KB |
Output is correct |
17 |
Correct |
234 ms |
1740 KB |
Output is correct |
18 |
Correct |
219 ms |
1784 KB |
Output is correct |
19 |
Correct |
233 ms |
1740 KB |
Output is correct |
20 |
Correct |
224 ms |
1740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1217 ms |
8236 KB |
Output is correct |
2 |
Correct |
1253 ms |
8236 KB |
Output is correct |
3 |
Correct |
1240 ms |
8236 KB |
Output is correct |
4 |
Correct |
1230 ms |
8232 KB |
Output is correct |
5 |
Correct |
1309 ms |
8236 KB |
Output is correct |
6 |
Correct |
1209 ms |
8268 KB |
Output is correct |
7 |
Correct |
1237 ms |
8236 KB |
Output is correct |
8 |
Correct |
1209 ms |
8244 KB |
Output is correct |
9 |
Correct |
1269 ms |
8232 KB |
Output is correct |
10 |
Correct |
1216 ms |
8232 KB |
Output is correct |
11 |
Correct |
1219 ms |
8236 KB |
Output is correct |
12 |
Correct |
1263 ms |
8232 KB |
Output is correct |
13 |
Correct |
1233 ms |
8232 KB |
Output is correct |
14 |
Correct |
1225 ms |
8232 KB |
Output is correct |
15 |
Correct |
1225 ms |
8140 KB |
Output is correct |
16 |
Correct |
217 ms |
1740 KB |
Output is correct |
17 |
Correct |
234 ms |
1740 KB |
Output is correct |
18 |
Correct |
219 ms |
1784 KB |
Output is correct |
19 |
Correct |
233 ms |
1740 KB |
Output is correct |
20 |
Correct |
224 ms |
1740 KB |
Output is correct |
21 |
Correct |
1783 ms |
7548 KB |
Output is correct |
22 |
Correct |
1770 ms |
7640 KB |
Output is correct |
23 |
Correct |
1690 ms |
7508 KB |
Output is correct |
24 |
Correct |
1742 ms |
7492 KB |
Output is correct |
25 |
Correct |
1774 ms |
7500 KB |
Output is correct |
26 |
Correct |
1973 ms |
7356 KB |
Output is correct |
27 |
Execution timed out |
2031 ms |
7408 KB |
Time limit exceeded |
28 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
17 ms |
1920 KB |
Output is correct |
2 |
Correct |
19 ms |
1924 KB |
Output is correct |
3 |
Correct |
17 ms |
1868 KB |
Output is correct |
4 |
Correct |
17 ms |
1900 KB |
Output is correct |
5 |
Correct |
17 ms |
1920 KB |
Output is correct |
6 |
Correct |
23 ms |
1868 KB |
Output is correct |
7 |
Correct |
21 ms |
1920 KB |
Output is correct |
8 |
Correct |
20 ms |
1868 KB |
Output is correct |
9 |
Correct |
20 ms |
1868 KB |
Output is correct |
10 |
Correct |
19 ms |
1920 KB |
Output is correct |
11 |
Correct |
18 ms |
1920 KB |
Output is correct |
12 |
Correct |
16 ms |
1920 KB |
Output is correct |
13 |
Correct |
16 ms |
1920 KB |
Output is correct |
14 |
Correct |
16 ms |
1916 KB |
Output is correct |
15 |
Correct |
17 ms |
1916 KB |
Output is correct |
16 |
Correct |
10 ms |
1248 KB |
Output is correct |
17 |
Correct |
10 ms |
1228 KB |
Output is correct |
18 |
Correct |
10 ms |
1228 KB |
Output is correct |
19 |
Correct |
10 ms |
1244 KB |
Output is correct |
20 |
Correct |
10 ms |
1100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1217 ms |
8236 KB |
Output is correct |
2 |
Correct |
1253 ms |
8236 KB |
Output is correct |
3 |
Correct |
1240 ms |
8236 KB |
Output is correct |
4 |
Correct |
1230 ms |
8232 KB |
Output is correct |
5 |
Correct |
1309 ms |
8236 KB |
Output is correct |
6 |
Correct |
1209 ms |
8268 KB |
Output is correct |
7 |
Correct |
1237 ms |
8236 KB |
Output is correct |
8 |
Correct |
1209 ms |
8244 KB |
Output is correct |
9 |
Correct |
1269 ms |
8232 KB |
Output is correct |
10 |
Correct |
1216 ms |
8232 KB |
Output is correct |
11 |
Correct |
1219 ms |
8236 KB |
Output is correct |
12 |
Correct |
1263 ms |
8232 KB |
Output is correct |
13 |
Correct |
1233 ms |
8232 KB |
Output is correct |
14 |
Correct |
1225 ms |
8232 KB |
Output is correct |
15 |
Correct |
1225 ms |
8140 KB |
Output is correct |
16 |
Correct |
217 ms |
1740 KB |
Output is correct |
17 |
Correct |
234 ms |
1740 KB |
Output is correct |
18 |
Correct |
219 ms |
1784 KB |
Output is correct |
19 |
Correct |
233 ms |
1740 KB |
Output is correct |
20 |
Correct |
224 ms |
1740 KB |
Output is correct |
21 |
Correct |
1783 ms |
7548 KB |
Output is correct |
22 |
Correct |
1770 ms |
7640 KB |
Output is correct |
23 |
Correct |
1690 ms |
7508 KB |
Output is correct |
24 |
Correct |
1742 ms |
7492 KB |
Output is correct |
25 |
Correct |
1774 ms |
7500 KB |
Output is correct |
26 |
Correct |
1973 ms |
7356 KB |
Output is correct |
27 |
Execution timed out |
2031 ms |
7408 KB |
Time limit exceeded |
28 |
Halted |
0 ms |
0 KB |
- |