Submission #1004936

#TimeUsernameProblemLanguageResultExecution timeMemory
1004936pavementFlooding Wall (BOI24_wall)C++17
100 / 100
3565 ms941856 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, LIM = (int)1e9; int N, glob, a[500005], b[500005], pf_a[500005], sf_a[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 val, pv; node(const int &_s, const int &_e) : left(nullptr), right(nullptr), val(_e - _s + 1), pv(1) {} void cc(const int &S, const int &E) { if (left == nullptr) { int M = (S + E) / 2; left = new node(S, M); right = new node(M + 1, E); } } void prop(const int &S, const int &E) { cc(S, E); if (pv == 1) { return; } 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, int S = 1, int E = LIM + 1) { if (l > E || r < S) { return; } if (l <= S && E <= r) { val = ((ll)val * v) % MOD; pv = ((ll)pv * v) % MOD; return; } prop(S, E); int M = (S + E) / 2; left->mul(l, r, v, S, M); right->mul(l, r, v, M + 1, E); val = (left->val + right->val) % MOD; } int sum(int l, int r, int S = 1, int E = LIM + 1) { if (l > E || r < S) { return 0; } if (l <= S && E <= r) { return val; } prop(S, E); int M = (S + E) / 2; return (left->sum(l, r, S, M) + right->sum(l, r, M + 1, E)) % 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); root[1] = new node(1, LIM + 1); root[2] = new node(1, LIM + 1); for (int i = 1; i <= N; i++) { root[1]->mul(1, b[i], INV_2); root[2]->mul(1, b[i], INV_2); pf_a[i] = max(a[i], pf_a[i - 1]); } for (int i = N; i >= 1; i--) { sf_a[i] = max(a[i], sf_a[i + 1]); } 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 = pf_a[i - 1], max_s_a = sf_a[i + 1]; 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, LIM + 1) + MOD) % MOD; glob = (glob + max(0, LIM + 1 - (max(h, max_s_a) + 1) + 1)) % 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, LIM + 1) + 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[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'; }
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