#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<int> dr = {0,1};
vector<int> dc = {1,0};
vector<pll> adj1[N];
vector<bool> vis(N);
vector<ll> tin(N), low(N);
vector<bool> bridge(2*N);
ll timer = 1;
void dfs1(ll u, ll p){
vis[u] = 1;
tin[u] = low[u] = timer++;
for(auto [v,id] : adj1[u]){
if(v == p) conts;
if(vis[v]){
amin(low[u],tin[v]);
}
else{
dfs1(v,u);
amin(low[u],low[v]);
if(low[v] > low[u]){
bridge[id] = 1;
}
}
}
}
vector<ll> col(N);
vector<pll> a;
vector<ll> nodes;
void dfs2(ll u, ll p, ll c){
vis[u] = 1;
col[u] = c;
nodes.pb(u);
for(auto [v,id] : adj1[u]){
if(vis[v] or bridge[id]) conts;
dfs2(v,u,c);
}
}
ll within_comp(){
ll siz = sz(nodes);
vector<ll> cx(siz), cy(siz);
rep(ind,siz){
ll i = nodes[ind];
cx[ind] = a[i].ff, cy[ind] = a[i].ss;
}
sort(all(cx)), sort(all(cy));
ll res = 0;
{
ll sum = 0;
rep(i,siz){
res += cx[i]*i-sum;
res = (res%MOD+MOD)%MOD;
sum += cx[i];
}
}
{
ll sum = 0;
rep(i,siz){
res += cy[i]*i-sum;
res = (res%MOD+MOD)%MOD;
sum += cy[i];
}
}
return res%MOD;
}
ll dis(ll i, ll j){
auto [x1,y1] = a[i];
auto [x2,y2] = a[j];
return abs(x1-x2)+abs(y1-y2);
}
vector<pll> adj2[N];
vector<ll> subsiz(N);
vector<ll> comp_sum(N);
void dfs3(ll u, ll p){
for(auto [v,i] : adj2[u]){
if(v == p) conts;
dfs3(v,u);
subsiz[u] += subsiz[v];
}
}
ll dfs4(ll u, ll p){
ll res = 0;
vector<pll> children;
ll par_id = -1;
for(auto [v,i] : adj2[u]){
if(v == p){
par_id = i;
conts;
}
res += dfs4(v,u);
res %= MOD;
children.pb({v,i});
}
if(par_id != -1){
for(auto [v,i] : children){
ll add = dis(i,par_id)%MOD*subsiz[v]%MOD*(subsiz[0]-subsiz[u])%MOD;
res += add;
res %= MOD;
}
}
for(auto [v,i] : children){
ll add = comp_sum[i]*subsiz[v]%MOD;
res += add;
res %= MOD;
}
if(par_id != -1){
ll add = comp_sum[par_id]*(subsiz[0]-subsiz[u])%MOD;
res += add;
res %= MOD;
}
for(auto [v1,i] : children){
for(auto [v2,j] : children){
if(v1 > v2) conts;
ll add = dis(i,j)%MOD*subsiz[v1]%MOD*subsiz[v2]%MOD;
res += add;
res %= MOD;
}
}
return res;
}
int DistanceSum(int n, int *X, int *Y) {
rep(i,n) a.pb({X[i],Y[i]});
sort(all(a));
ll ptr = 0;
rep(i,n){
auto [r1,c1] = a[i];
rep(dir,2){
ll r2 = r1+dr[dir], c2 = c1+dc[dir];
pll px = {r2,c2};
if(!binary_search(all(a),px)) conts;
ll j = lower_bound(all(a),px)-a.begin();
adj1[i].pb({j,ptr}), adj1[j].pb({i,ptr});
ptr++;
}
}
dfs1(0,-1);
fill(all(vis),0);
ptr = 0;
ll ans = 0;
rep(i,n){
if(vis[i]) conts;
nodes.clear();
dfs2(i,-1,ptr++);
ans += within_comp();
ans %= MOD;
trav(u,nodes){
trav(v,nodes){
comp_sum[u] += dis(u,v);
comp_sum[u] %= MOD;
}
}
}
rep(u,n){
for(auto [v,id] : adj1[u]){
if(col[u] != col[v]){
adj2[col[u]].pb({col[v],u});
}
}
}
rep(u,n) subsiz[col[u]]++;
dfs3(0,-1);
rep(u,ptr){
ll s = subsiz[u];
ans += s*(n-s);
ans %= MOD;
}
ans += dfs4(0,-1);
ans %= MOD;
return ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 2 |
Correct |
4 ms |
9048 KB |
Output is correct |
| 3 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 4 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 5 |
Incorrect |
4 ms |
8900 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
4 ms |
9208 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
1040 ms |
13324 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
17 ms |
11464 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
