Submission #1004916

#TimeUsernameProblemLanguageResultExecution timeMemory
1004916pavementFlooding Wall (BOI24_wall)C++17
17 / 100
5074 ms600 KiB
#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;
int N, glob, a[500005], b[500005];

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]);
		}
	}
	for (int i = 1; i <= N; i++) {
		for (int h : {a[i], b[i]}) {
			int expected = 0;
			for (int v = h + 1; v <= 1001; v++) {
				int lft_prob = 1, rig_prob = 1;
				for (int j = 1; j < i; j++) {
					int cur_prob = INV_2;
					if (a[j] >= v) {
						cur_prob = 0;
					} else if (b[j] < v) {
						cur_prob = 1;
					}
					lft_prob = ((ll)lft_prob * cur_prob) % MOD;
				}
				lft_prob = (1 - lft_prob + MOD) % MOD;
				for (int j = i + 1; j <= N; j++) {
					int cur_prob = INV_2;
					if (a[j] >= v) {
						cur_prob = 0;
					} else if (b[j] < v) {
						cur_prob = 1;
					}
					rig_prob = ((ll)rig_prob * cur_prob) % MOD;
				}
				rig_prob = (1 - rig_prob + MOD) % MOD;
				int p = (ll)lft_prob * rig_prob % MOD;
				expected = (expected + p) % MOD;
			}
			glob = (glob + expected) % MOD;
		}
	}
	for (int rep = 0; rep < N - 1; rep++) {
		glob = (glob * 2) % MOD;
	}
	cout << glob << '\n';
}
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