제출 #1103489

#제출 시각아이디문제언어결과실행 시간메모리
1103489hqminhuwuFlooding Wall (BOI24_wall)C++14
58 / 100
5067 ms22860 KiB
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef long double ld; typedef pair <ll,ll> pll; typedef pair <int,int> pii; typedef pair <int,pii> piii; #define forr(_a,_b,_c) for(int _a = (_b); _a <= int (_c); ++_a) #define ford(_a,_b,_c) for(int _a = (_b) + 1; _a --> int (_c);) #define forf(_a,_b,_c) for(int _a = (_b); _a < int (_c); ++_a) #define st first #define nd second #define pb push_back #define mp make_pair #define all(x) begin(x),end(x) #define mask(i) (1LL << (i)) #define bit(x, i) (((x) >> (i)) & 1) #define bp __builtin_popcountll #define file "test" template<class X, class Y> bool minz(X &x, const Y &y) { if (x > y) { x = y; return true; } return false; } template<class X, class Y> bool maxz(X &x, const Y &y) { if (x < y) { x = y; return true; } return false; } const int N = 5e5 + 5; const ll oo = (ll) 1e16; const ll mod = 1e9 + 7; // 998244353; int n; ll a[N], b[N], bl[N], br[N], al[N], ar[N], res, fa[N], fb[N], za[N], zb[N], pw[N]; int main(){ ios_base::sync_with_stdio(0); cin.tie(0); #ifdef kaguya freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout); #endif cin >> n; forr (i, 1, n){ cin >> a[i]; } forr (i, 1, n){ cin >> b[i]; } pw[0] = 1; forr (i, 1, n){ pw[i] = pw[i - 1] * 2 % mod; } forr (i, 1, n){ al[i] = ar[i] = bl[i] = br[i] = 1; ll tmp = 1; forf (j, 1, i){ tmp = tmp * 2 % mod; int cnt = (a[j] <= a[i]) + (b[j] <= a[i]); al[i] = al[i] * cnt % mod; cnt = (a[j] <= b[i]) + (b[j] <= b[i]); bl[i] = bl[i] * cnt % mod; } forr (j, i + 1, n){ int cnt = (a[j] <= a[i]) + (b[j] <= a[i]); ar[i] = ar[i] * cnt % mod; cnt = (a[j] <= b[i]) + (b[j] <= b[i]); br[i] = br[i] * cnt % mod; } } forr (i, 1, n){ ll way = 1, sum = 0; forr (j, i + 1, n){ if (b[j] > a[i]){ ll tmp = (a[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += al[i] * pw[n - j] % mod * tmp % mod) %= mod; } else if (b[j] == a[i]){ ll tmp = (a[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += (pw[i - 1 + n - j] - (pw[i - 1] - al[i] + mod) * (pw[n - j] - br[j] + mod) % mod + mod) % mod * tmp % mod) %= mod; } if (a[j] > a[i]){ ll tmp = (a[i] * (way) % mod * (j - i - 1) - sum + mod) % mod; (res += al[i] * pw[n - j] % mod * tmp % mod) %= mod; } else if (a[i] == a[j]){ ll tmp = (a[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += (pw[i - 1 + n - j] - (pw[i - 1] - al[i] + mod) * (pw[n - j] - ar[j] + mod) % mod + mod) % mod * tmp % mod) %= mod; } if (a[j] < a[i] && b[j] < a[i]){ sum = (sum * 2 + (a[j] + b[j]) * (way)) % mod; way = way * 2 % mod; } else if (a[j] < a[i]){ sum = (sum + a[j] * (way)) % mod; way = way % mod; } else if (b[j] < a[i]){ sum = (sum + b[j] * (way)) % mod; way = way % mod; } else { break; } } way = 1, sum = 0; forr (j, i + 1, n){ if (b[j] > b[i]){ ll tmp = (b[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += bl[i] * pw[n - j] % mod * tmp % mod) %= mod; } else if (b[j] == b[i]){ ll tmp = (b[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += (pw[i - 1 + n - j] - (pw[i - 1] - bl[i] + mod) * (pw[n - j] - br[j] + mod) % mod + mod) % mod * tmp % mod) %= mod; } if (a[j] > b[i]){ ll tmp = (b[i] * (way) % mod * (j - i - 1) - sum + mod) % mod; (res += bl[i] * pw[n - j] % mod * tmp % mod) %= mod; } else if (b[i] == a[j]){ ll tmp = (b[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += (pw[i - 1 + n - j] - (pw[i - 1] - bl[i] + mod) * (pw[n - j] - ar[j] + mod) % mod + mod) % mod * tmp % mod) %= mod; } if (a[j] < b[i] && b[j] < b[i]){ sum = (sum * 2 + (a[j] + b[j]) * (way)) % mod; way = way * 2 % mod; } else if (a[j] < b[i]){ sum = (sum + a[j] * (way)) % mod; way = way % mod; } else if (b[j] < b[i]){ sum = (sum + b[j] * (way)) % mod; way = way % mod; } else { break; } } // cout << res << "\n"; } reverse(a + 1, a + 1 + n); reverse(b + 1, b + 1 + n); forr (i, 1, n){ al[i] = ar[i] = bl[i] = br[i] = 1; forf (j, 1, i){ int cnt = (a[j] <= a[i]) + (b[j] <= a[i]); al[i] = al[i] * cnt % mod; cnt = (a[j] <= b[i]) + (b[j] <= b[i]); bl[i] = bl[i] * cnt % mod; } forr (j, i + 1, n){ ar[i] = ar[i] * 2 % mod; br[i] = br[i] * 2 % mod; } } forr (i, 1, n){ ll way = 1, sum = 0; forr (j, i + 1, n){ // if (i == 2){ // cout << way << " " << sum << " " << b[j] << "\n"; // } if (b[j] > a[i]){ ll tmp = (a[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += al[i] * ar[j] % mod * tmp % mod) %= mod; } if (a[j] > a[i]){ ll tmp = (a[i] * (way) % mod * (j - i - 1) - sum + mod) % mod; (res += al[i] * ar[j] % mod * tmp % mod) %= mod; } if (a[j] < a[i] && b[j] < a[i]){ sum = (sum * 2 + (a[j] + b[j]) * (way)) % mod; way = way * 2 % mod; } else if (a[j] < a[i]){ sum = (sum + a[j] * (way)) % mod; way = way % mod; } else if (b[j] < a[i]){ sum = (sum + b[j] * (way)) % mod; way = way % mod; } else { break; } } //cout << res << "\n"; way = 1, sum = 0; forr (j, i + 1, n){ if (b[j] > b[i]){ ll tmp = (b[i] * way % mod * (j - i - 1) - sum + mod) % mod; (res += bl[i] * br[j] % mod * tmp % mod) %= mod; } if (a[j] > b[i]){ ll tmp = (b[i] * (way) % mod * (j - i - 1) - sum + mod) % mod; (res += bl[i] * br[j] % mod * tmp % mod) %= mod; } if (a[j] < b[i] && b[j] < b[i]){ sum = (sum * 2 + (a[j] + b[j]) * (way)) % mod; way = way * 2 % mod; } else if (a[j] < b[i]){ sum = (sum + a[j] * (way)) % mod; way = way % mod; } else if (b[j] < b[i]){ sum = (sum + b[j] * (way)) % mod; way = way % mod; } else { break; } } } cout << res << "\n"; return 0; } /* */
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