#define local
#ifndef local
#include ""
#endif
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
//#define int long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
const int N = 3e5 + 5;
const int oo = 1e9 + 7, mod = 1e9 + 7;
mt19937 rng(1);
int rnd(int l, int r){
int temp = rng() % (r - l + 1);
return abs(temp) + l;
}
int n, m;
vector<iiii> edges;
vector<iiii> edges2;
int rt[N], sz[N];
int root(int x){
return (x == rt[x] ? x : rt[x] = root(rt[x]));
}
bool merge(int x, int y){
x = root(x), y = root(y);
if(x == y) return 0;
sz[x] += sz[y];
rt[y] = x;
return 1;
}
bool cmp(iiii a, iiii b){
return a.se.fi < b.se.fi;
}
pair<int, ii> answer = {oo, {0, 0}};
map<ii, ii> mpp;
void solve(ii a, ii b){
if(a.fi == b.fi || a.se == b.se) return;
//cout << a.fi << " " << a.se << " " << b.fi << " " << b.se << "\n";
if(b.fi < a.fi) swap(a, b);
if(a.se < b.se) return;
int temp1 = b.fi - a.fi, temp2 = a.se - b.se, cnt = 0;
//assert(temp1 >= 0 && temp2 >= 0);
//cout << temp1 << " " << temp2 << "\n";
for(auto it : edges){
edges2[cnt] = {{it.fi.fi, it.fi.se}, {it.se.fi * temp2 + it.se.se * temp1, cnt}};
cnt++;
}
sort(edges2.begin(), edges2.end(), cmp);
int tol_a = 0, tol_b = 0;
for(int i = 1; i <= n; i++){
sz[i] = 1, rt[i] = i;
}
for(auto it : edges2){
if(merge(it.fi.fi, it.fi.se)){
//cout << it.fi.fi << " " << it.fi.se << "\n";
tol_a += edges[it.se.se].se.fi;
tol_b += edges[it.se.se].se.se;
}
}
answer = min(answer, {tol_a * tol_b, {tol_a, tol_b}});
if(mpp.find({tol_a, tol_b}) == mpp.end()) mpp[{tol_a, tol_b}] = {temp2, temp1};
//cout << tol_a << " " << tol_b << " " << temp2 << " " << temp1 << "\n";
if ((a.se - b.se) * (tol_a - a.fi) >= (a.se - tol_b) * (b.fi - a.fi)) {
// answer = min(answer, {a.fi * a.se, a});
// answer = min(answer, {b.fi * b.se, b});
return;
}
solve(a, {tol_a, tol_b});
solve({tol_a, tol_b}, b);
}
bool cmp1(iiii a, iiii b){
return a.se.fi < b.se.se;
}
bool cmp2(iiii a, iiii b){
return a.se.se < b.se.se;
}
#ifdef local
void process(){
cin >> n >> m;
for(int i = 1; i <= m; i++){
int x, y, a, b;
cin >> x >> y >> a >> b;
x++, y++;
edges.pb({{x, y}, {a, b}});
}
sort(edges.begin(), edges.end(), cmp1);
for(int i = 1; i <= n; i++) sz[i] = 1, rt[i] = i;
ii tol_1 = {0, 0};
for(auto it : edges) if(merge(it.fi.fi, it.fi.se)) tol_1 = {tol_1.fi + it.se.fi, tol_1.se + it.se.se};
sort(edges.begin(), edges.end(), cmp2);
for(int i = 1; i <= n; i++) sz[i] = 1, rt[i] = i;
ii tol_2 = {0, 0};
for(auto it : edges) if(merge(it.fi.fi, it.fi.se)) tol_2 = {tol_2.fi + it.se.fi, tol_2.se + it.se.se};
edges2.resize(edges.size());
mpp[tol_1] = {1, 0};
mpp[tol_2] = {0, 1};
answer = min(answer, {tol_1.fi * tol_1.se, tol_1});
answer = min(answer, {tol_2.fi * tol_2.se, tol_2});
solve(tol_1, tol_2);
cout << answer.se.fi << " " << answer.se.se << "\n";
//cout << mpp[answer.se].fi << " " << mpp[answer.se].se << "\n";
// edges2.clear();
int cnt = 0;
for(auto it : edges){
edges2[cnt] = {{it.fi.fi, it.fi.se}, {it.se.fi * mpp[answer.se].fi + it.se.se * mpp[answer.se].se, cnt}};
cnt++;
}
sort(edges2.begin(), edges2.end(), cmp);
int tol_a = 0, tol_b = 0;
for(int i = 1; i <= n; i++){
sz[i] = 1, rt[i] = i;
}
for(auto it : edges2){
if(merge(it.fi.fi, it.fi.se)){
cout << it.fi.fi - 1 << " " << it.fi.se - 1 << "\n";
}
}
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen("kek.inp", "r", stdin);
// freopen("kek.out", "w", stdout);
process();
}
#endif
Compilation message
timeismoney.cpp: In function 'void process()':
timeismoney.cpp:135:6: warning: unused variable 'tol_a' [-Wunused-variable]
135 | int tol_a = 0, tol_b = 0;
| ^~~~~
timeismoney.cpp:135:17: warning: unused variable 'tol_b' [-Wunused-variable]
135 | int tol_a = 0, tol_b = 0;
| ^~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
4 ms |
728 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
1 ms |
212 KB |
Output is correct |
| 11 |
Correct |
1 ms |
212 KB |
Output is correct |
| 12 |
Execution timed out |
2086 ms |
15980 KB |
Time limit exceeded |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
3 ms |
340 KB |
Output is correct |
| 15 |
Correct |
2 ms |
340 KB |
Output is correct |
| 16 |
Correct |
110 ms |
412 KB |
Output is correct |
| 17 |
Correct |
97 ms |
340 KB |
Output is correct |
| 18 |
Incorrect |
35 ms |
412 KB |
Output isn't correct |
| 19 |
Correct |
459 ms |
784 KB |
Output is correct |
| 20 |
Correct |
438 ms |
784 KB |
Output is correct |
