#include<bits/stdc++.h>
using namespace std;
#define endl "\n"
typedef long long int ll;
const int MOD = 1e9 + 7;
struct DSU{
vector<int> v;
vector<ll> sum;
void init(vector<tuple<ll, ll, int>>& a){
int n = (int)a.size();
v.assign(n, -1);
sum.assign(n, 0);
for(int i = 0; i < n; i++){
sum[get<2>(a[i])] = get<1>(a[i]);
}
}
int gt(int x){return v[x] < 0 ? x : v[x] = gt(v[x]);}
ll gets(int x){return sum[gt(x)] % MOD;}
void unite(int x, int y){
x = gt(x); y = gt(y);
if(x == y) return;
if(v[x] > v[y]) swap(x, y);
v[x] += v[y]; v[y] = x; sum[x] += sum[y]; sum[x] %= MOD;
}
};
ll calc(ll x){
if(x % 2 == 0){
ll f = x / 2; f %= MOD;
ll s = x - 1; s %= MOD;
return (f * s) % MOD;
}else{
ll f = x; f %= MOD;
ll s = (x - 1) / 2; s %= MOD;
return (f * s) % MOD;
}
}
ll self(ll w, ll h){
w++; h++;
return (calc(w) * calc(h)) % MOD;
}
ll two(ll w, ll h, ll w1, ll h1){
h++;
ll x = w * w1; x %= MOD;
return (x * calc(h)) % MOD;
}
void solve(){
int n; cin >> n;
vector<tuple<ll, ll, int>> v(n);
for(int i = 0; i < n; i++){
int x; cin >> x;
get<0>(v[i]) = x;
}
for(int i = 0; i < n; i++){
int x; cin >> x;
get<1>(v[i]) = x;
get<2>(v[i]) = i;
}
sort(v.begin(), v.end());
if(n == 1){
ll w = get<1>(v[0]);
ll h = get<0>(v[0]);
cout << self(w, h) << endl;
return;
}
DSU UF; UF.init(v);
vector<bool> done(n, 0);
ll ans = 0;
for(int i = n - 1; i >= 0; i--){
int j = get<2>(v[i]);
ll w = get<1>(v[i]);
ll h = get<0>(v[i]);
done[j] = 1;
ans += self(w, h); ans %= MOD;
if(j == 0){
if(done[1]){
ans += two(w, h, UF.gets(1), h); ans %= MOD;
UF.unite(0, 1);
}
}else if(j == n - 1){
if(done[n-2]){
ans += two(w, h, UF.gets(n-2), h); ans %= MOD;
UF.unite(j, n-2);
}
}else{
if(done[j+1]){
ans += two(w, h, UF.gets(j+1), h); ans %= MOD;
if(done[j-1]){
ans += two(w, h, UF.gets(j-1), h); ans %= MOD;
ans += two(UF.gets(j+1), h, UF.gets(j-1), h); ans %= MOD;
UF.unite(j-1, j);
}
UF.unite(j+1, j);
}else if(done[j-1]){
ans += two(w, h, UF.gets(j-1), h); ans %= MOD;
UF.unite(j-1, j);
}
}
}
cout << ans << endl;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
//~ int tt; cin >> tt;
int tt = 1;
for(int t = 1; t <= tt; t++){
solve();
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
316 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
16 ms |
2644 KB |
Output is correct |
4 |
Correct |
33 ms |
4948 KB |
Output is correct |
5 |
Correct |
31 ms |
5076 KB |
Output is correct |
6 |
Correct |
30 ms |
5020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
360 KB |
Output is correct |
2 |
Correct |
4 ms |
768 KB |
Output is correct |
3 |
Correct |
16 ms |
3028 KB |
Output is correct |
4 |
Correct |
35 ms |
5716 KB |
Output is correct |
5 |
Correct |
44 ms |
5856 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
272 KB |
Output is correct |
3 |
Correct |
4 ms |
852 KB |
Output is correct |
4 |
Correct |
18 ms |
3024 KB |
Output is correct |
5 |
Correct |
36 ms |
5736 KB |
Output is correct |
6 |
Correct |
39 ms |
5860 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
4 ms |
852 KB |
Output is correct |
9 |
Correct |
17 ms |
3016 KB |
Output is correct |
10 |
Correct |
28 ms |
5612 KB |
Output is correct |
11 |
Correct |
28 ms |
5720 KB |
Output is correct |
12 |
Correct |
1 ms |
324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
320 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
15 ms |
2644 KB |
Output is correct |
12 |
Correct |
33 ms |
5080 KB |
Output is correct |
13 |
Correct |
31 ms |
5088 KB |
Output is correct |
14 |
Correct |
31 ms |
5088 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
4 ms |
840 KB |
Output is correct |
17 |
Correct |
17 ms |
3056 KB |
Output is correct |
18 |
Correct |
38 ms |
5836 KB |
Output is correct |
19 |
Correct |
40 ms |
6004 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
5 ms |
808 KB |
Output is correct |
22 |
Correct |
17 ms |
3020 KB |
Output is correct |
23 |
Correct |
26 ms |
5604 KB |
Output is correct |
24 |
Correct |
27 ms |
5720 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
328 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
4 ms |
764 KB |
Output is correct |
31 |
Correct |
4 ms |
768 KB |
Output is correct |
32 |
Correct |
18 ms |
2900 KB |
Output is correct |
33 |
Correct |
18 ms |
3036 KB |
Output is correct |
34 |
Correct |
33 ms |
5588 KB |
Output is correct |
35 |
Correct |
35 ms |
5576 KB |
Output is correct |
36 |
Correct |
33 ms |
5732 KB |
Output is correct |
37 |
Correct |
34 ms |
5808 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
34 ms |
5724 KB |
Output is correct |
40 |
Correct |
33 ms |
5732 KB |
Output is correct |
41 |
Correct |
29 ms |
5728 KB |
Output is correct |
42 |
Correct |
29 ms |
5708 KB |
Output is correct |