oj.uz

Submission #1003430

# Submission time Handle Problem Language Result Execution time Memory
1003430 2024-06-20T10:16:50 Z vjudge1 Flooding Wall (BOI24_wall) C++17
70 / 100
 2154 ms 13792 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX = 10000;
const int MOD = 1e9 + 7;

int dpLft[MAX], dpRght[MAX];
long long lft[MAX];

long long binpow(int a, int b){
	if(!b) return 1;
	long long x = binpow(a, b / 2); x = (x * x) % MOD;
	if(b%2) return (x * a) % MOD;
	else return x;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int N; cin >> N;
	vector<int> a(N);
	for(auto &i : a) cin >> i;
	vector<int> b(N);
	for(auto &i : b) cin >> i;
	for(int i = 0; i < N; i++){
		if(a[i] > b[i]) swap(a[i], b[i]);
	}
	if(N <= MAX){
		for(int i = 0; i < N; i++){
			dpLft[i] = 0; dpRght[i] = 0; lft[i] = 2ll;
		}
		vector<pair<int, int>> v(2*N);
		for(int i = 0; i < N; i++){
			v[2*i] = {a[i], i};
			v[2*i+1] = {b[i], i};
		}
		sort(v.begin(), v.end());
		reverse(v.begin(), v.end());
		long long ans = 0;
		vector<int> totalWater(N);
		for(pair<int, int> pr : v){
			int x = pr.first; int i = pr.second;
			// cout << "x "<< x << " i "<< i << "\n";
			long long ways = 1;
			for(int j = 0; j < i; j++){
				ways = (ways * lft[j]) % MOD;
			}
			for(int j = i+1; j < N; j++){
				long long w = (ways * dpRght[j]) % MOD;
				// cout << "j "<< j << " ways "<< ways << endl;
				if(a[j] < x) {ans += w * (x - a[j]); ans %= MOD;}
				if(b[j] < x) {ans += w * (x - b[j]); ans %= MOD;}
				dpLft[j] += ways; dpLft[j] %= MOD;
				ways = (ways * lft[j]) % MOD;
			}
			ways = 1;
			for(int j = N-1; j > i; j--){
				ways = (ways * lft[j]) % MOD;
			}
			for(int j = i-1; j >= 0; j--){
				long long w = (ways * dpLft[j]) % MOD;
				// cout << "j "<< j << " ways "<< ways << endl;
				if(a[j] < x) {ans += w * (x - a[j]); ans %= MOD;}
				if(b[j] < x) {ans += w * (x - b[j]); ans %= MOD;}
				// if(a[i] < x) {totalWater[i] += w * (x - a[i]); totalWater[i] %= MOD;}
				// if(b[i] < x) {totalWater[i] += w * (x - b[i]); totalWater[i] %= MOD;}
				dpRght[j] += ways; dpRght[j] %= MOD;
				ways = (ways * lft[j]) % MOD;
			}
			// for(int j = 0; j < N; j++){
			// 	cout << "j "<< j << " lft "<< lft[j] << " dpL "<< dpLft[j] << " dpR "<< dpRght[j] << endl;
			// }
			lft[i]--;
		}
		cout << ans << "\n";
	}else{
		//Case <= 2.
		long long ans = 0;
		for(int i = 0; i < N; i++){
			long long ways1 = (binpow(2, i) + MOD - 1) % MOD;
			long long ways2 = (binpow(2, N - i - 1) +  MOD - 1) % MOD;
			ans += (ways1 * ways2) % MOD;
			ans %= MOD;
		}
		cout << ans << "\n";
	}
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 464 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 460 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 456 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 456 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 2039 ms 860 KB Output is correct
28 Correct 1909 ms 956 KB Output is correct
29 Correct 1771 ms 912 KB Output is correct
30 Correct 1747 ms 856 KB Output is correct
31 Correct 1908 ms 860 KB Output is correct
32 Correct 1874 ms 860 KB Output is correct
33 Correct 1910 ms 860 KB Output is correct
34 Correct 1893 ms 916 KB Output is correct
35 Correct 1900 ms 960 KB Output is correct
36 Correct 1840 ms 860 KB Output is correct
37 Correct 1750 ms 916 KB Output is correct
38 Correct 1777 ms 860 KB Output is correct
39 Correct 1883 ms 920 KB Output is correct
40 Correct 1864 ms 860 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 464 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 460 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 456 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 2039 ms 860 KB Output is correct
50 Correct 1909 ms 956 KB Output is correct
51 Correct 1771 ms 912 KB Output is correct
52 Correct 1747 ms 856 KB Output is correct
53 Correct 1908 ms 860 KB Output is correct
54 Correct 1874 ms 860 KB Output is correct
55 Correct 1910 ms 860 KB Output is correct
56 Correct 1893 ms 916 KB Output is correct
57 Correct 1900 ms 960 KB Output is correct
58 Correct 1840 ms 860 KB Output is correct
59 Correct 1750 ms 916 KB Output is correct
60 Correct 1777 ms 860 KB Output is correct
61 Correct 1883 ms 920 KB Output is correct
62 Correct 1864 ms 860 KB Output is correct
63 Correct 2072 ms 856 KB Output is correct
64 Correct 2093 ms 1076 KB Output is correct
65 Correct 2154 ms 1076 KB Output is correct
66 Correct 1997 ms 920 KB Output is correct
67 Correct 1921 ms 1072 KB Output is correct
68 Correct 1998 ms 928 KB Output is correct
69 Correct 1971 ms 992 KB Output is correct
70 Correct 1968 ms 996 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 412 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 360 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1884 ms 860 KB Output is correct
11 Correct 1808 ms 920 KB Output is correct
12 Correct 1780 ms 860 KB Output is correct
13 Correct 1869 ms 860 KB Output is correct
14 Correct 112 ms 6232 KB Output is correct
15 Correct 126 ms 6324 KB Output is correct
16 Correct 132 ms 6160 KB Output is correct
17 Correct 137 ms 6236 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 464 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 460 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 456 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 2039 ms 860 KB Output is correct
50 Correct 1909 ms 956 KB Output is correct
51 Correct 1771 ms 912 KB Output is correct
52 Correct 1747 ms 856 KB Output is correct
53 Correct 1908 ms 860 KB Output is correct
54 Correct 1874 ms 860 KB Output is correct
55 Correct 1910 ms 860 KB Output is correct
56 Correct 1893 ms 916 KB Output is correct
57 Correct 1900 ms 960 KB Output is correct
58 Correct 1840 ms 860 KB Output is correct
59 Correct 1750 ms 916 KB Output is correct
60 Correct 1777 ms 860 KB Output is correct
61 Correct 1883 ms 920 KB Output is correct
62 Correct 1864 ms 860 KB Output is correct
63 Correct 2072 ms 856 KB Output is correct
64 Correct 2093 ms 1076 KB Output is correct
65 Correct 2154 ms 1076 KB Output is correct
66 Correct 1997 ms 920 KB Output is correct
67 Correct 1921 ms 1072 KB Output is correct
68 Correct 1998 ms 928 KB Output is correct
69 Correct 1971 ms 992 KB Output is correct
70 Correct 1968 ms 996 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 412 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 344 KB Output is correct
77 Correct 0 ms 360 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 1884 ms 860 KB Output is correct
81 Correct 1808 ms 920 KB Output is correct
82 Correct 1780 ms 860 KB Output is correct
83 Correct 1869 ms 860 KB Output is correct
84 Correct 112 ms 6232 KB Output is correct
85 Correct 126 ms 6324 KB Output is correct
86 Correct 132 ms 6160 KB Output is correct
87 Correct 137 ms 6236 KB Output is correct
88 Incorrect 149 ms 13792 KB Output isn't correct
89 Halted 0 ms 0 KB -