oj.uz

Submission #1004930

# Submission time Handle Problem Language Result Execution time Memory
1004930 2024-06-22T04:30:22 Z pavement Flooding Wall (BOI24_wall) C++17
58 / 100
 5000 ms 46216 KB 
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
 
#define pb push_back
 
const int MOD = (int)1e9 + 7, INV_2 = (MOD + 1) / 2, LIM = (int)1e9;
int N, glob, a[500005], b[500005];
 
int exp_mod(int a, int b) {
	int r = 1;
	while (b) {
		if (b % 2 == 1) {
			r = (ll)r * a % MOD;
		}
		a = (ll)a * a % MOD;
		b /= 2;
	}
	return r;
}
 
struct node {
	node *left, *right;
	int S, E, val, pv, init;
	node(int _s, int _e, int _init) : left(nullptr), right(nullptr), S(_s), E(_e), val((ll)(E - S + 1) * _init % MOD), pv(1), init(_init) {}
	void cc() {
		if (left == nullptr) {
			int M = (S + E) / 2;
			left = new node(S, M, init);
			right = new node(M + 1, E, init);
		}
	}
	void prop() {
		cc();
		left->val = ((ll)left->val * pv) % MOD;
		left->pv = ((ll)left->pv * pv) % MOD;
		right->val = ((ll)right->val * pv) % MOD;
		right->pv = ((ll)right->pv * pv) % MOD;
		pv = 1;
	}
	void mul(int l, int r, int v) {
		if (l > E || r < S) {
			return;
		}
		if (l <= S && E <= r) {
			val = ((ll)val * v) % MOD;
			pv = ((ll)pv * v) % MOD;
			return;
		}
		prop();
		left->mul(l, r, v);
		right->mul(l, r, v);
		val = (left->val + right->val) % MOD;
	}
	int sum(int l, int r) {
		if (l > E || r < S) {
			return 0;
		}
		if (l <= S && E <= r) {
			return val;
		}
		prop();
		return (left->sum(l, r) + right->sum(l, r)) % MOD;
	}
} *root[3];
 
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> N;
	for (int i = 1; i <= N; i++) {
		cin >> a[i];
	}
	for (int i = 1; i <= N; i++) {
		cin >> b[i];
		if (a[i] > b[i]) {
			swap(a[i], b[i]);
		}
	}
	root[0] = new node(1, LIM + 1, 1);
	root[1] = new node(1, LIM + 1, 1);
	root[2] = new node(1, LIM + 1, 1);
	for (int i = 1; i <= N; i++) {
		root[1]->mul(1, b[i], INV_2);
		root[2]->mul(1, b[i], INV_2);
	}
	for (int i = 1; i <= N; i++) {
		root[1]->mul(1, b[i], 2);
		root[2]->mul(1, b[i], 2);
		for (int h : {a[i], b[i]}) {
			int max_p_a = 0, max_s_a = 0;
			for (int j = 1; j < i; j++) {
				max_p_a = max(max_p_a, a[j]);
			}
			for (int j = i + 1; j <= N; j++) {
				max_s_a = max(max_s_a, a[j]);
			}
			if (max_p_a <= max_s_a) {
				glob = (glob + max(0, max_p_a - h)) % MOD;
				glob = (glob + max(0, max_s_a - (max(h, max_p_a) + 1) + 1)) % MOD;
				glob = (glob - root[0]->sum(max(h, max_p_a) + 1, max_s_a) + MOD) % MOD;
				
				glob = (glob + max(0, LIM + 1 - (max(h, max_s_a) + 1) + 1)) % MOD;
				glob = (glob - root[0]->sum(max(h, max_s_a) + 1, LIM + 1) + MOD) % MOD;
				glob = (glob - root[1]->sum(max(h, max_s_a) + 1, LIM + 1) + MOD) % MOD;
				
				glob = (glob + root[2]->sum(max(h, max_s_a) + 1, LIM + 1)) % MOD;
			} else {
				glob = (glob + max(0, max_s_a - h)) % MOD;
				glob = (glob + max(0, max_p_a - (max(h, max_s_a) + 1) + 1)) % MOD;
				glob = (glob - root[1]->sum(max(h, max_s_a) + 1, max_p_a) + MOD) % MOD;
				
				glob = (glob + max(0, LIM + 1 - (max(h, max_p_a) + 1) + 1)) % MOD;
				glob = (glob - root[0]->sum(max(h, max_p_a) + 1, LIM + 1) + MOD) % MOD;
				glob = (glob - root[1]->sum(max(h, max_p_a) + 1, LIM + 1) + MOD) % MOD;
				
				glob = (glob + root[2]->sum(max(h, max_p_a) + 1, LIM + 1)) % MOD;
			}
		}
		root[0]->mul(1, b[i], INV_2);
		root[2]->mul(1, b[i], INV_2);
	}
	for (int rep = 0; rep < N - 1; rep++) {
		glob = (glob * 2) % MOD;
	}
	cout << glob << '\n';
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 187 ms 2652 KB Output is correct
28 Correct 182 ms 2652 KB Output is correct
29 Correct 182 ms 2392 KB Output is correct
30 Correct 173 ms 2396 KB Output is correct
31 Correct 179 ms 2392 KB Output is correct
32 Correct 179 ms 2544 KB Output is correct
33 Correct 180 ms 2392 KB Output is correct
34 Correct 169 ms 2392 KB Output is correct
35 Correct 170 ms 2392 KB Output is correct
36 Correct 184 ms 2392 KB Output is correct
37 Correct 171 ms 2392 KB Output is correct
38 Correct 176 ms 2396 KB Output is correct
39 Correct 175 ms 2392 KB Output is correct
40 Correct 183 ms 2392 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 187 ms 2652 KB Output is correct
50 Correct 182 ms 2652 KB Output is correct
51 Correct 182 ms 2392 KB Output is correct
52 Correct 173 ms 2396 KB Output is correct
53 Correct 179 ms 2392 KB Output is correct
54 Correct 179 ms 2544 KB Output is correct
55 Correct 180 ms 2392 KB Output is correct
56 Correct 169 ms 2392 KB Output is correct
57 Correct 170 ms 2392 KB Output is correct
58 Correct 184 ms 2392 KB Output is correct
59 Correct 171 ms 2392 KB Output is correct
60 Correct 176 ms 2396 KB Output is correct
61 Correct 175 ms 2392 KB Output is correct
62 Correct 183 ms 2392 KB Output is correct
63 Correct 236 ms 46216 KB Output is correct
64 Correct 231 ms 46164 KB Output is correct
65 Correct 193 ms 2652 KB Output is correct
66 Correct 178 ms 2396 KB Output is correct
67 Correct 177 ms 2648 KB Output is correct
68 Correct 191 ms 2396 KB Output is correct
69 Correct 199 ms 27368 KB Output is correct
70 Correct 207 ms 27216 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 180 ms 2560 KB Output is correct
11 Correct 178 ms 2392 KB Output is correct
12 Correct 179 ms 2392 KB Output is correct
13 Correct 179 ms 2392 KB Output is correct
14 Execution timed out 5077 ms 4352 KB Time limit exceeded
15 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 187 ms 2652 KB Output is correct
50 Correct 182 ms 2652 KB Output is correct
51 Correct 182 ms 2392 KB Output is correct
52 Correct 173 ms 2396 KB Output is correct
53 Correct 179 ms 2392 KB Output is correct
54 Correct 179 ms 2544 KB Output is correct
55 Correct 180 ms 2392 KB Output is correct
56 Correct 169 ms 2392 KB Output is correct
57 Correct 170 ms 2392 KB Output is correct
58 Correct 184 ms 2392 KB Output is correct
59 Correct 171 ms 2392 KB Output is correct
60 Correct 176 ms 2396 KB Output is correct
61 Correct 175 ms 2392 KB Output is correct
62 Correct 183 ms 2392 KB Output is correct
63 Correct 236 ms 46216 KB Output is correct
64 Correct 231 ms 46164 KB Output is correct
65 Correct 193 ms 2652 KB Output is correct
66 Correct 178 ms 2396 KB Output is correct
67 Correct 177 ms 2648 KB Output is correct
68 Correct 191 ms 2396 KB Output is correct
69 Correct 199 ms 27368 KB Output is correct
70 Correct 207 ms 27216 KB Output is correct
71 Correct 1 ms 2392 KB Output is correct
72 Correct 0 ms 2396 KB Output is correct
73 Correct 0 ms 2396 KB Output is correct
74 Correct 0 ms 2396 KB Output is correct
75 Correct 1 ms 2396 KB Output is correct
76 Correct 0 ms 2396 KB Output is correct
77 Correct 1 ms 2392 KB Output is correct
78 Correct 1 ms 2396 KB Output is correct
79 Correct 1 ms 2396 KB Output is correct
80 Correct 180 ms 2560 KB Output is correct
81 Correct 178 ms 2392 KB Output is correct
82 Correct 179 ms 2392 KB Output is correct
83 Correct 179 ms 2392 KB Output is correct
84 Execution timed out 5077 ms 4352 KB Time limit exceeded
85 Halted 0 ms 0 KB -