This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef complex<ld> point;
void debug_out(){cerr << endl;}
template<typename H, typename... T>
void debug_out(H h, T... t){
cerr << h << ' ';
debug_out(t...);
}
#define debug(...) cerr << "(" << #__VA_ARGS__ << "): ", debug_out(__VA_ARGS__)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define MP(x, y) make_pair(x, y)
const int maxn = 2e3 + 10;
const int inf = 2147483647;
const int mod = 1e9;
int add(int x, int y){
int res = x + y;
if (res >= mod) return res - mod;
if (res < 0) return res + mod;
return res;
}
int n, x[maxn], y[maxn], cnt[maxn], dis[maxn], h[maxn][maxn];
bool mark[maxn][maxn];
int xc[4] = {1, -1, 0, 0};
int yc[4] = {0, 0, 1, -1};
void bfs(int sx, int sy){
for (int i = 1; i <= n; i++) h[x[i]][y[i]] = -1;
h[sx][sy] = 0;
queue<pii> q;
q.push({sx, sy});
while(!q.empty()){
int xv = q.front().F, yv = q.front().S;
q.pop();
for (int i = 0; i < 4; i++){
int xu = xv + xc[i], yu = yv + yc[i];
if (mark[xu][yu] && h[xu][yu] == -1){
h[xu][yu] = h[xv][yv] + 1;
q.push({xu, yu});
}
}
}
}
int DistanceSum(int N, int *X, int *Y) {
n = N;
int mnx = inf, mny = inf, mx = 0;
for (int i = 1; i <= n; i++){
x[i] = X[i-1];
y[i] = Y[i-1];
mnx = min(mnx, x[i]);
mny = min(mny, y[i]);
mx = max(mx, x[i]);
}
mnx--;
mny--;
for (int i = 1; i <= n; i++){
x[i] -= mnx;
y[i] -= mny;
mark[x[i]][y[i]] = true;
}
int ans = 0;
for (int i = 1; i <= n; i++){
bfs(x[i], y[i]);
for (int j = i; j <= n; j++){
ans = add(ans, h[x[j]][y[j]]);
}
}
return ans;
}
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