#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<ll, int>;
const int N = 1e5+10;
const int MOD = 1e9;
const int INF = INT_MAX;
inline int add(int a, int b) { return (a+b)%MOD; }
inline int mul(int a, int b) { return (a*1ll*b)%MOD; }
int n, *X, *Y, ix[N], wei[N], sum[N], cost[N], total;
vector<int> G[N];
map<int, map<int, int>> comp;
void dfs(int u, int p)
{
for (auto v : G[u]) if (v != p) {
dfs(v, u);
total = add(total, mul(add(cost[v], sum[v]), sum[u]));
total = add(total, mul(add(cost[u], sum[u]), sum[v]));
sum[u] = add(sum[u], sum[v]);
cost[u] = add(cost[u], cost[v]);
}
cost[u] = add(cost[u], sum[u]);
sum[u] = add(sum[u], wei[u]);
total = add(total, mul(cost[u], wei[u]));
}
void solve()
{
comp.clear();
sort(ix, ix+n, [&] (int a, int b) {
if (X[a] != X[b]) return X[a] < X[b];
else return Y[a] < Y[b];
});
int px = -1, py = -1, cnt = 0;
vector<pii> E;
for (int i = 0; i < n; ++i) {
int x = X[ix[i]], y = Y[ix[i]];
if (x != px || y != py+1) {
++cnt;
wei[cnt] = sum[cnt] = cost[cnt] = 0;
G[cnt].clear();
}
++wei[cnt];
comp[x][y] = cnt;
if (comp[x-1][y] > 0)
E.emplace_back(comp[x-1][y], comp[x][y]);
px = x, py = y;
}
sort(E.begin(), E.end());
E.resize(unique(E.begin(), E.end()) - E.begin());
for (auto e : E) {
int u = e.first, v = e.second;
G[u].push_back(v);
G[v].push_back(u);
}
dfs(1, 0);
}
int DistanceSum(int n, int *X, int *Y)
{
::n = n, ::X = X, ::Y = Y;
for (int i = 0; i < n; ++i)
ix[i] = i;
solve();
for (int i = 0; i < n; ++i)
swap(X[i], Y[i]);
solve();
return total;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2792 KB |
Output is correct |
3 |
Correct |
4 ms |
2792 KB |
Output is correct |
4 |
Correct |
4 ms |
2792 KB |
Output is correct |
5 |
Correct |
4 ms |
2792 KB |
Output is correct |
6 |
Correct |
5 ms |
2868 KB |
Output is correct |
7 |
Correct |
4 ms |
2880 KB |
Output is correct |
8 |
Correct |
4 ms |
2880 KB |
Output is correct |
9 |
Correct |
4 ms |
2880 KB |
Output is correct |
10 |
Correct |
4 ms |
2880 KB |
Output is correct |
11 |
Correct |
4 ms |
2880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
2988 KB |
Output is correct |
2 |
Correct |
5 ms |
2988 KB |
Output is correct |
3 |
Correct |
6 ms |
2988 KB |
Output is correct |
4 |
Correct |
6 ms |
2988 KB |
Output is correct |
5 |
Correct |
7 ms |
3116 KB |
Output is correct |
6 |
Correct |
7 ms |
3116 KB |
Output is correct |
7 |
Correct |
6 ms |
3236 KB |
Output is correct |
8 |
Correct |
6 ms |
3236 KB |
Output is correct |
9 |
Correct |
6 ms |
3236 KB |
Output is correct |
10 |
Correct |
6 ms |
3236 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
28 ms |
4572 KB |
Output is correct |
2 |
Correct |
35 ms |
4744 KB |
Output is correct |
3 |
Correct |
76 ms |
7284 KB |
Output is correct |
4 |
Correct |
68 ms |
7916 KB |
Output is correct |
5 |
Correct |
147 ms |
12276 KB |
Output is correct |
6 |
Correct |
175 ms |
13164 KB |
Output is correct |
7 |
Correct |
168 ms |
14224 KB |
Output is correct |
8 |
Correct |
159 ms |
14616 KB |
Output is correct |
9 |
Correct |
161 ms |
15912 KB |
Output is correct |
10 |
Correct |
191 ms |
22768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
22768 KB |
Output is correct |
2 |
Correct |
35 ms |
22768 KB |
Output is correct |
3 |
Correct |
88 ms |
22768 KB |
Output is correct |
4 |
Correct |
84 ms |
22768 KB |
Output is correct |
5 |
Correct |
179 ms |
22768 KB |
Output is correct |
6 |
Correct |
193 ms |
22768 KB |
Output is correct |
7 |
Correct |
203 ms |
22804 KB |
Output is correct |
8 |
Correct |
186 ms |
22804 KB |
Output is correct |
9 |
Correct |
173 ms |
22804 KB |
Output is correct |
10 |
Correct |
160 ms |
22804 KB |
Output is correct |