oj.uz

Submission #200727

# Submission time Handle Problem Language Result Execution time Memory
200727 2020-02-08T04:45:32 Z dimash241 Boat (APIO16_boat) C++17
58 / 100
 2000 ms 18448 KB 
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
 
# include <x86intrin.h>
# include <bits/stdc++.h>
 
# include <ext/pb_ds/assoc_container.hpp>
# include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
 
template<typename T> using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
#define _USE_MATH_DEFINES_
#define ll long long
#define ld long double
#define Accepted 0
#define pb push_back
#define mp make_pair
#define sz(x) (int)(x.size())
#define every(x) x.begin(),x.end()
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define For(i,x,y)  for (ll i = x; i <= y; i ++) 
#define FOr(i,x,y)  for (ll i = x; i >= y; i --)
#define SpeedForce ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
// ROAD to...                                                                                                                                                                                                                Red
 
inline void Input_Output () {
	//freopen(".in", "r", stdin);
   //freopen(".out", "w", stdout);
}
 
const double eps = 0.000001;
const ld pi = acos(-1);
const int maxn = 1e7 + 9;
const int mod = 1e9 + 7;
const ll MOD = 1e18 + 9;
const ll INF = 1e18 + 123;
const int inf = 2e9 + 11;
const int mxn = 1e6 + 9;
const int N = 6e5 + 123;                                          
const int M = 22;
const int pri = 997;
const int Magic = 2101;
 
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, -1, 0, 1};
 
int n;
ll dp[505][1010];
ll p[1001][1010];
int C1[1001][1001];
int C2[1001][1001];
int l[505], r[505];
int vv[N], ptr;
ll inv[N];
ll pw[N];
 
ll bpow (ll a, ll b) {
	ll res = 1;
	while (b > 0) {
		if (b & 1) (res *= a) %= mod;
		(a *= a) %= mod;
		b /= 2;
	}
	return res;
}
 
 
ll C(ll n, int k) {
	ll res = inv[k];
	for (int i = 0; i < k; ++i) {
		res *= (n - i);
		res %= mod;
	}
  
	return res;
}      
 
int main () {
   	SpeedForce;
 
	inv[0] = 1;
	pw[0] = 1;
	for (int i = 1; i < 1001;i ++) {
		inv[i] = inv[i-1] * bpow(i, mod - 2) % mod;
		pw[i] = (pw[i-1] + pw[i-1]) % mod;
	}
 
	cin >> n;
 
	for (int i = 1; i <= n; ++i) {
		cin >> l[i] >> r[i];
		r[i]++;
		vv[ptr++] = l[i];
		vv[ptr++] = r[i];
	}
	sort(vv, vv + ptr);
	ptr = unique(vv, vv + ptr) - vv;
	for (int i = 0; i < ptr; ++i) dp[0][i] = 1;
    for (int i = 1; i < ptr; ++i) {
		for (int j = 1; j <= n; ++j)
			C2[i][j] = C(vv[i] - vv[i-1], j);
	}
 
	for (int i = 0; i <= n; ++i)
		C1[i][i] = C1[i][0] = 1;

	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j < i; ++j)
			C1[i][j] = (C1[i-1][j] + C1[i-1][j-1]) % mod;
	}
 
	for (int i = 1; i < ptr; ++i) {
		for (int k = 1; k <= n; ++k) {
			for (int j = 1; j <= k; ++j)
				p[i][k] = (p[i][k] + C2[i][j] * (ll)C1[k-1][j-1]) % mod;
		}
	}

	for (int i = 0; i < ptr; ++i)
		dp[0][i] = 1;
	for (int i = 0; i <= n; ++i)
		dp[i][0] = 1;
 
	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j < ptr; ++j) {
			dp[i][j] = dp[i][j-1];
 
			int cnt = 0;
 
			for (int k = i; k>=1; --k) {
				if (l[k] <= vv[j-1] && vv[j] <= r[k]) {
					++cnt;
					dp[i][j] = (dp[i][j] + dp[k-1][j-1] * p[j][cnt]) % mod;
				}
			}
		}
	}
 
	int ans = (dp[n][ptr-1] - 1 + mod) % mod;
	assert(ans >= 0);
 
	cout << ans << '\n';
	return Accepted;
}
 
// B...a

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1721 ms 18296 KB Output is correct
2 Correct 1690 ms 18144 KB Output is correct
3 Correct 1707 ms 18424 KB Output is correct
4 Correct 1737 ms 18316 KB Output is correct
5 Correct 1700 ms 18220 KB Output is correct
6 Correct 1456 ms 18388 KB Output is correct
7 Correct 1429 ms 18296 KB Output is correct
8 Correct 1486 ms 18168 KB Output is correct
9 Correct 1435 ms 18168 KB Output is correct
10 Correct 1436 ms 18196 KB Output is correct
11 Correct 1427 ms 18296 KB Output is correct
12 Correct 1450 ms 18168 KB Output is correct
13 Correct 1446 ms 18296 KB Output is correct
14 Correct 1438 ms 18264 KB Output is correct
15 Correct 1438 ms 18432 KB Output is correct
16 Correct 301 ms 7160 KB Output is correct
17 Correct 322 ms 7288 KB Output is correct
18 Correct 311 ms 7288 KB Output is correct
19 Correct 319 ms 7288 KB Output is correct
20 Correct 310 ms 7288 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1721 ms 18296 KB Output is correct
2 Correct 1690 ms 18144 KB Output is correct
3 Correct 1707 ms 18424 KB Output is correct
4 Correct 1737 ms 18316 KB Output is correct
5 Correct 1700 ms 18220 KB Output is correct
6 Correct 1456 ms 18388 KB Output is correct
7 Correct 1429 ms 18296 KB Output is correct
8 Correct 1486 ms 18168 KB Output is correct
9 Correct 1435 ms 18168 KB Output is correct
10 Correct 1436 ms 18196 KB Output is correct
11 Correct 1427 ms 18296 KB Output is correct
12 Correct 1450 ms 18168 KB Output is correct
13 Correct 1446 ms 18296 KB Output is correct
14 Correct 1438 ms 18264 KB Output is correct
15 Correct 1438 ms 18432 KB Output is correct
16 Correct 301 ms 7160 KB Output is correct
17 Correct 322 ms 7288 KB Output is correct
18 Correct 311 ms 7288 KB Output is correct
19 Correct 319 ms 7288 KB Output is correct
20 Correct 310 ms 7288 KB Output is correct
21 Correct 1540 ms 17240 KB Output is correct
22 Correct 1571 ms 17312 KB Output is correct
23 Correct 1537 ms 17164 KB Output is correct
24 Correct 1525 ms 17144 KB Output is correct
25 Correct 1567 ms 17144 KB Output is correct
26 Correct 1648 ms 16888 KB Output is correct
27 Correct 1684 ms 17068 KB Output is correct
28 Correct 1626 ms 16632 KB Output is correct
29 Correct 1616 ms 16912 KB Output is correct
30 Correct 1487 ms 18296 KB Output is correct
31 Correct 1442 ms 18296 KB Output is correct
32 Correct 1420 ms 18300 KB Output is correct
33 Correct 1425 ms 18204 KB Output is correct
34 Correct 1443 ms 18168 KB Output is correct
35 Correct 1711 ms 18296 KB Output is correct
36 Correct 1709 ms 18424 KB Output is correct
37 Correct 1720 ms 18296 KB Output is correct
38 Correct 1694 ms 18128 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 3032 KB Output is correct
2 Correct 19 ms 3064 KB Output is correct
3 Correct 20 ms 3064 KB Output is correct
4 Correct 21 ms 3064 KB Output is correct
5 Correct 20 ms 3064 KB Output is correct
6 Correct 22 ms 3064 KB Output is correct
7 Correct 22 ms 3056 KB Output is correct
8 Correct 21 ms 3064 KB Output is correct
9 Correct 21 ms 3064 KB Output is correct
10 Correct 21 ms 3064 KB Output is correct
11 Correct 20 ms 3068 KB Output is correct
12 Correct 20 ms 3064 KB Output is correct
13 Correct 22 ms 3064 KB Output is correct
14 Correct 20 ms 3064 KB Output is correct
15 Correct 20 ms 3064 KB Output is correct
16 Correct 14 ms 2296 KB Output is correct
17 Correct 13 ms 2168 KB Output is correct
18 Correct 15 ms 2168 KB Output is correct
19 Correct 14 ms 2224 KB Output is correct
20 Correct 13 ms 2296 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1721 ms 18296 KB Output is correct
2 Correct 1690 ms 18144 KB Output is correct
3 Correct 1707 ms 18424 KB Output is correct
4 Correct 1737 ms 18316 KB Output is correct
5 Correct 1700 ms 18220 KB Output is correct
6 Correct 1456 ms 18388 KB Output is correct
7 Correct 1429 ms 18296 KB Output is correct
8 Correct 1486 ms 18168 KB Output is correct
9 Correct 1435 ms 18168 KB Output is correct
10 Correct 1436 ms 18196 KB Output is correct
11 Correct 1427 ms 18296 KB Output is correct
12 Correct 1450 ms 18168 KB Output is correct
13 Correct 1446 ms 18296 KB Output is correct
14 Correct 1438 ms 18264 KB Output is correct
15 Correct 1438 ms 18432 KB Output is correct
16 Correct 301 ms 7160 KB Output is correct
17 Correct 322 ms 7288 KB Output is correct
18 Correct 311 ms 7288 KB Output is correct
19 Correct 319 ms 7288 KB Output is correct
20 Correct 310 ms 7288 KB Output is correct
21 Correct 1540 ms 17240 KB Output is correct
22 Correct 1571 ms 17312 KB Output is correct
23 Correct 1537 ms 17164 KB Output is correct
24 Correct 1525 ms 17144 KB Output is correct
25 Correct 1567 ms 17144 KB Output is correct
26 Correct 1648 ms 16888 KB Output is correct
27 Correct 1684 ms 17068 KB Output is correct
28 Correct 1626 ms 16632 KB Output is correct
29 Correct 1616 ms 16912 KB Output is correct
30 Correct 1487 ms 18296 KB Output is correct
31 Correct 1442 ms 18296 KB Output is correct
32 Correct 1420 ms 18300 KB Output is correct
33 Correct 1425 ms 18204 KB Output is correct
34 Correct 1443 ms 18168 KB Output is correct
35 Correct 1711 ms 18296 KB Output is correct
36 Correct 1709 ms 18424 KB Output is correct
37 Correct 1720 ms 18296 KB Output is correct
38 Correct 1694 ms 18128 KB Output is correct
39 Correct 21 ms 3032 KB Output is correct
40 Correct 19 ms 3064 KB Output is correct
41 Correct 20 ms 3064 KB Output is correct
42 Correct 21 ms 3064 KB Output is correct
43 Correct 20 ms 3064 KB Output is correct
44 Correct 22 ms 3064 KB Output is correct
45 Correct 22 ms 3056 KB Output is correct
46 Correct 21 ms 3064 KB Output is correct
47 Correct 21 ms 3064 KB Output is correct
48 Correct 21 ms 3064 KB Output is correct
49 Correct 20 ms 3068 KB Output is correct
50 Correct 20 ms 3064 KB Output is correct
51 Correct 22 ms 3064 KB Output is correct
52 Correct 20 ms 3064 KB Output is correct
53 Correct 20 ms 3064 KB Output is correct
54 Correct 14 ms 2296 KB Output is correct
55 Correct 13 ms 2168 KB Output is correct
56 Correct 15 ms 2168 KB Output is correct
57 Correct 14 ms 2224 KB Output is correct
58 Correct 13 ms 2296 KB Output is correct
59 Correct 1694 ms 18256 KB Output is correct
60 Correct 1681 ms 18448 KB Output is correct
61 Correct 1676 ms 18364 KB Output is correct
62 Correct 1757 ms 18360 KB Output is correct
63 Correct 1715 ms 18344 KB Output is correct
64 Correct 1883 ms 18328 KB Output is correct
65 Correct 1864 ms 18424 KB Output is correct
66 Correct 1858 ms 18288 KB Output is correct
67 Correct 1997 ms 18408 KB Output is correct
68 Execution timed out 2008 ms 18408 KB Time limit exceeded
69 Halted 0 ms 0 KB -