# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
1018620 |
2024-07-10T07:30:44 Z |
pcc |
Ideal city (IOI12_city) |
C++17 |
|
1000 ms |
3164 KB |
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt,sse4")
#define pii pair<int,int>
#define fs first
#define sc second
#define ll long long
const ll mod = 1e9;
const int mxn = 1e5+10;
vector<int> paths[mxn];
vector<pii> v;
int N;
ll mad(ll a,ll b){
assert(a>=0&&b>=0);
a %= mod;
a += b;
return a>=mod?a%mod:a;
}
ll mub(int a,int b){
assert(a>=0&&b>=0);
return mad(a,mod-b%mod);
}
namespace SUB1{
int dist[mxn];
queue<int> q;
int BFS(int now){
memset(dist,-1,sizeof(dist));
dist[now] = 0;
q.push(now);
while(!q.empty()){
auto now = q.front();
q.pop();
for(auto nxt:paths[now]){
if(dist[nxt] == -1){
dist[nxt] = dist[now]+1;
q.push(nxt);
}
}
}
int re = 0;
for(int i = 0;i<N;i++)re = (re+dist[i])%mod;
return re;
}
int GO(int NN,int* xx,int *yy){
N = NN;
for(int i = 0;i<N;i++){
v.push_back(pii(xx[i],yy[i]));
}
vector<int> perm;
for(int i = 0;i<N;i++)perm.push_back(i);
sort(perm.begin(),perm.end(),[](int a,int b){return v[a].fs == v[b].fs?v[a].sc<v[b].sc:v[a].fs<v[b].fs;});
for(int i = 1;i<N;i++){
int now = perm[i],pre = perm[i-1];
if(v[now].fs == v[pre].fs&&v[now].sc == v[pre].sc+1){
paths[now].push_back(pre);
paths[pre].push_back(now);
}
}
sort(perm.begin(),perm.end(),[](int a,int b){return v[a].sc == v[b].sc?v[a].fs<v[b].fs:v[a].sc<v[b].sc;});
for(int i = 1;i<N;i++){
int now = perm[i],pre = perm[i-1];
if(v[now].sc == v[pre].sc&&v[now].fs == v[pre].fs+1){
paths[now].push_back(pre);
paths[pre].push_back(now);
}
}
int ans = 0;
for(int i = 0;i<N;i++){
ans += BFS(i);
ans %= mod;
}
assert(ans%2 == 0);
return ans>>1;
}
}
namespace SUB2{
int GO(int NN,int *X,int *Y){
N = NN;
ll ans = 0;
sort(X,X+N);sort(Y,Y+N);
for(int i = 0;i<N;i++){
for(int j = 0;j<N;j++)ans += abs(X[i]-X[j])+abs(Y[i]-Y[j]),ans %= mod;
}
return ans>>1;
ll suf = 0,pref = 0,cnt = 0;
for(int i = 0;i<N;i++)suf += X[i];
for(int i = 0;i<N;i++){
ans += (1ll*X[i]*cnt-pref)+suf-1ll*X[i]*(N-cnt);
assert(1ll*X[i]*cnt-pref>=0&&suf-1ll*X[i]*(N-cnt)>=0);
ans %= mod;
cnt++;
pref += X[i];
suf -= X[i];
}
suf = pref = cnt = 0;
for(int i = 0;i<N;i++)suf += Y[i];
for(int i = 0;i<N;i++){
ans += (1ll*Y[i]*cnt-pref)+suf-1ll*Y[i]*(N-cnt);
assert(1ll*Y[i]*cnt-pref>=0&&suf-1ll*Y[i]*(N-cnt)>=0);
ans %= mod;
cnt++;
pref += Y[i];
suf -= Y[i];
}
assert(ans%2 == 0);
return ans>>1;
}
}
int DistanceSum(int N, int *X, int *Y) {
return SUB2::GO(N,X,Y);
if(N<=2000)return SUB1::GO(N,X,Y);
else return SUB2::GO(N,X,Y);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
2904 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
2908 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1065 ms |
3164 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1059 ms |
3164 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |