// High above the clouds there is a rainbow...
#include<bits/stdc++.h>
#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<int,ll> pil;
const int maxn=2e5+10,SQ=50;
const ll inf=1e18;
int a[maxn],b[maxn],_a[maxn],_b[maxn];
ll c[maxn],arr[maxn],arr2[maxn];
int pp[maxn];
vector<pil>v[maxn];
priority_queue<pil> pq;
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);
srand(time(0));
int n,m; cin>>n>>m;
for(int i=0;i<m;i++){
cin>>_a[i]>>_b[i]>>c[i], --_a[i],--_b[i];
}
for(int i=0;i<n;i++){
pp[i]=i;
}
random_shuffle(pp,pp+n);
ll ans=inf;
for(int w=0;w<min(SQ,n);w++){
memset(arr,0,sizeof arr);
memset(arr2,0,sizeof arr2);
for(int i=0;i<n;i++){
v[i].clear();
}
while(sz(pq)){
pq.pop();
}
for(int i=0;i<m;i++){
a[i]=(_a[i]+pp[w])%n, b[i]=(_b[i]+pp[w])%n;
if(a[i]>b[i]) swap(a[i],b[i]);
v[a[i]].PB({b[i],c[i]});
arr[a[i]]+=c[i], arr[b[i]]-=c[i];
}
for(int i=1;i<n;i++){
arr[i]+=arr[i-1];
}
for(int i=0;i<n;i++){
arr[i]=(1+arr[i])/2;
}
ll cnt=0,nw=0;
for(int i=0;i<n;i++){
for(auto x:v[i]){
pq.push(x);
}
nw+=arr2[i];
while(arr[i]-nw>0){
pil x=pq.top();
pq.pop();
ll num= min(arr[i]-nw,x.S);
x.S-=num, nw+=num, arr2[x.F]-=num, cnt+=num;
if(x.S>0) pq.push(x);
}
}
ans=min(ans,cnt);
}
return cout<<ans<<endl,0;
}
// Deathly mistakes:
// * Read the problem curfully.
// * Check maxn.
// * Overflows.
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
8192 KB |
Output is correct |
2 |
Correct |
12 ms |
8192 KB |
Output is correct |
3 |
Correct |
12 ms |
8192 KB |
Output is correct |
4 |
Correct |
11 ms |
8192 KB |
Output is correct |
5 |
Correct |
11 ms |
8192 KB |
Output is correct |
6 |
Correct |
11 ms |
8320 KB |
Output is correct |
7 |
Correct |
14 ms |
8192 KB |
Output is correct |
8 |
Correct |
12 ms |
8192 KB |
Output is correct |
9 |
Correct |
11 ms |
8192 KB |
Output is correct |
10 |
Correct |
13 ms |
8192 KB |
Output is correct |
11 |
Correct |
12 ms |
8192 KB |
Output is correct |
12 |
Correct |
12 ms |
8220 KB |
Output is correct |
13 |
Correct |
12 ms |
8244 KB |
Output is correct |
14 |
Correct |
11 ms |
8192 KB |
Output is correct |
15 |
Correct |
11 ms |
8192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
8192 KB |
Output is correct |
2 |
Correct |
12 ms |
8192 KB |
Output is correct |
3 |
Correct |
12 ms |
8192 KB |
Output is correct |
4 |
Correct |
11 ms |
8192 KB |
Output is correct |
5 |
Correct |
11 ms |
8192 KB |
Output is correct |
6 |
Correct |
11 ms |
8320 KB |
Output is correct |
7 |
Correct |
14 ms |
8192 KB |
Output is correct |
8 |
Correct |
12 ms |
8192 KB |
Output is correct |
9 |
Correct |
11 ms |
8192 KB |
Output is correct |
10 |
Correct |
13 ms |
8192 KB |
Output is correct |
11 |
Correct |
12 ms |
8192 KB |
Output is correct |
12 |
Correct |
12 ms |
8220 KB |
Output is correct |
13 |
Correct |
12 ms |
8244 KB |
Output is correct |
14 |
Correct |
11 ms |
8192 KB |
Output is correct |
15 |
Correct |
11 ms |
8192 KB |
Output is correct |
16 |
Correct |
16 ms |
8192 KB |
Output is correct |
17 |
Correct |
17 ms |
8192 KB |
Output is correct |
18 |
Correct |
18 ms |
8192 KB |
Output is correct |
19 |
Correct |
17 ms |
8192 KB |
Output is correct |
20 |
Correct |
17 ms |
8320 KB |
Output is correct |
21 |
Correct |
18 ms |
8320 KB |
Output is correct |
22 |
Correct |
17 ms |
8192 KB |
Output is correct |
23 |
Correct |
17 ms |
8192 KB |
Output is correct |
24 |
Correct |
18 ms |
8320 KB |
Output is correct |
25 |
Correct |
18 ms |
8420 KB |
Output is correct |
26 |
Correct |
17 ms |
8364 KB |
Output is correct |
27 |
Correct |
17 ms |
8320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
8192 KB |
Output is correct |
2 |
Correct |
12 ms |
8192 KB |
Output is correct |
3 |
Correct |
12 ms |
8192 KB |
Output is correct |
4 |
Correct |
11 ms |
8192 KB |
Output is correct |
5 |
Correct |
11 ms |
8192 KB |
Output is correct |
6 |
Correct |
11 ms |
8320 KB |
Output is correct |
7 |
Correct |
14 ms |
8192 KB |
Output is correct |
8 |
Correct |
12 ms |
8192 KB |
Output is correct |
9 |
Correct |
11 ms |
8192 KB |
Output is correct |
10 |
Correct |
13 ms |
8192 KB |
Output is correct |
11 |
Correct |
12 ms |
8192 KB |
Output is correct |
12 |
Correct |
12 ms |
8220 KB |
Output is correct |
13 |
Correct |
12 ms |
8244 KB |
Output is correct |
14 |
Correct |
11 ms |
8192 KB |
Output is correct |
15 |
Correct |
11 ms |
8192 KB |
Output is correct |
16 |
Correct |
16 ms |
8192 KB |
Output is correct |
17 |
Correct |
17 ms |
8192 KB |
Output is correct |
18 |
Correct |
18 ms |
8192 KB |
Output is correct |
19 |
Correct |
17 ms |
8192 KB |
Output is correct |
20 |
Correct |
17 ms |
8320 KB |
Output is correct |
21 |
Correct |
18 ms |
8320 KB |
Output is correct |
22 |
Correct |
17 ms |
8192 KB |
Output is correct |
23 |
Correct |
17 ms |
8192 KB |
Output is correct |
24 |
Correct |
18 ms |
8320 KB |
Output is correct |
25 |
Correct |
18 ms |
8420 KB |
Output is correct |
26 |
Correct |
17 ms |
8364 KB |
Output is correct |
27 |
Correct |
17 ms |
8320 KB |
Output is correct |
28 |
Correct |
37 ms |
8676 KB |
Output is correct |
29 |
Correct |
36 ms |
8824 KB |
Output is correct |
30 |
Correct |
40 ms |
8696 KB |
Output is correct |
31 |
Correct |
39 ms |
8824 KB |
Output is correct |
32 |
Correct |
39 ms |
9004 KB |
Output is correct |
33 |
Correct |
37 ms |
8824 KB |
Output is correct |
34 |
Correct |
71 ms |
8828 KB |
Output is correct |
35 |
Correct |
39 ms |
9000 KB |
Output is correct |
36 |
Correct |
37 ms |
8824 KB |
Output is correct |
37 |
Correct |
35 ms |
8480 KB |
Output is correct |
38 |
Correct |
35 ms |
8536 KB |
Output is correct |
39 |
Correct |
34 ms |
8448 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
8192 KB |
Output is correct |
2 |
Correct |
12 ms |
8192 KB |
Output is correct |
3 |
Correct |
12 ms |
8192 KB |
Output is correct |
4 |
Correct |
11 ms |
8192 KB |
Output is correct |
5 |
Correct |
11 ms |
8192 KB |
Output is correct |
6 |
Correct |
11 ms |
8320 KB |
Output is correct |
7 |
Correct |
14 ms |
8192 KB |
Output is correct |
8 |
Correct |
12 ms |
8192 KB |
Output is correct |
9 |
Correct |
11 ms |
8192 KB |
Output is correct |
10 |
Correct |
13 ms |
8192 KB |
Output is correct |
11 |
Correct |
12 ms |
8192 KB |
Output is correct |
12 |
Correct |
12 ms |
8220 KB |
Output is correct |
13 |
Correct |
12 ms |
8244 KB |
Output is correct |
14 |
Correct |
11 ms |
8192 KB |
Output is correct |
15 |
Correct |
11 ms |
8192 KB |
Output is correct |
16 |
Correct |
16 ms |
8192 KB |
Output is correct |
17 |
Correct |
17 ms |
8192 KB |
Output is correct |
18 |
Correct |
18 ms |
8192 KB |
Output is correct |
19 |
Correct |
17 ms |
8192 KB |
Output is correct |
20 |
Correct |
17 ms |
8320 KB |
Output is correct |
21 |
Correct |
18 ms |
8320 KB |
Output is correct |
22 |
Correct |
17 ms |
8192 KB |
Output is correct |
23 |
Correct |
17 ms |
8192 KB |
Output is correct |
24 |
Correct |
18 ms |
8320 KB |
Output is correct |
25 |
Correct |
18 ms |
8420 KB |
Output is correct |
26 |
Correct |
17 ms |
8364 KB |
Output is correct |
27 |
Correct |
17 ms |
8320 KB |
Output is correct |
28 |
Correct |
37 ms |
8676 KB |
Output is correct |
29 |
Correct |
36 ms |
8824 KB |
Output is correct |
30 |
Correct |
40 ms |
8696 KB |
Output is correct |
31 |
Correct |
39 ms |
8824 KB |
Output is correct |
32 |
Correct |
39 ms |
9004 KB |
Output is correct |
33 |
Correct |
37 ms |
8824 KB |
Output is correct |
34 |
Correct |
71 ms |
8828 KB |
Output is correct |
35 |
Correct |
39 ms |
9000 KB |
Output is correct |
36 |
Correct |
37 ms |
8824 KB |
Output is correct |
37 |
Correct |
35 ms |
8480 KB |
Output is correct |
38 |
Correct |
35 ms |
8536 KB |
Output is correct |
39 |
Correct |
34 ms |
8448 KB |
Output is correct |
40 |
Correct |
2261 ms |
26040 KB |
Output is correct |
41 |
Correct |
2339 ms |
26080 KB |
Output is correct |
42 |
Correct |
2354 ms |
27124 KB |
Output is correct |
43 |
Correct |
2284 ms |
33648 KB |
Output is correct |
44 |
Correct |
2315 ms |
31756 KB |
Output is correct |
45 |
Correct |
2168 ms |
38800 KB |
Output is correct |
46 |
Correct |
2210 ms |
25972 KB |
Output is correct |
47 |
Correct |
2029 ms |
25520 KB |
Output is correct |
48 |
Correct |
2167 ms |
26420 KB |
Output is correct |
49 |
Correct |
1362 ms |
14960 KB |
Output is correct |
50 |
Correct |
1818 ms |
16368 KB |
Output is correct |
51 |
Correct |
1482 ms |
15980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
8192 KB |
Output is correct |
2 |
Correct |
12 ms |
8192 KB |
Output is correct |
3 |
Correct |
12 ms |
8192 KB |
Output is correct |
4 |
Correct |
11 ms |
8192 KB |
Output is correct |
5 |
Correct |
11 ms |
8192 KB |
Output is correct |
6 |
Correct |
11 ms |
8320 KB |
Output is correct |
7 |
Correct |
14 ms |
8192 KB |
Output is correct |
8 |
Correct |
12 ms |
8192 KB |
Output is correct |
9 |
Correct |
11 ms |
8192 KB |
Output is correct |
10 |
Correct |
13 ms |
8192 KB |
Output is correct |
11 |
Correct |
12 ms |
8192 KB |
Output is correct |
12 |
Correct |
12 ms |
8220 KB |
Output is correct |
13 |
Correct |
12 ms |
8244 KB |
Output is correct |
14 |
Correct |
11 ms |
8192 KB |
Output is correct |
15 |
Correct |
11 ms |
8192 KB |
Output is correct |
16 |
Correct |
16 ms |
8192 KB |
Output is correct |
17 |
Correct |
17 ms |
8192 KB |
Output is correct |
18 |
Correct |
18 ms |
8192 KB |
Output is correct |
19 |
Correct |
17 ms |
8192 KB |
Output is correct |
20 |
Correct |
17 ms |
8320 KB |
Output is correct |
21 |
Correct |
18 ms |
8320 KB |
Output is correct |
22 |
Correct |
17 ms |
8192 KB |
Output is correct |
23 |
Correct |
17 ms |
8192 KB |
Output is correct |
24 |
Correct |
18 ms |
8320 KB |
Output is correct |
25 |
Correct |
18 ms |
8420 KB |
Output is correct |
26 |
Correct |
17 ms |
8364 KB |
Output is correct |
27 |
Correct |
17 ms |
8320 KB |
Output is correct |
28 |
Correct |
37 ms |
8676 KB |
Output is correct |
29 |
Correct |
36 ms |
8824 KB |
Output is correct |
30 |
Correct |
40 ms |
8696 KB |
Output is correct |
31 |
Correct |
39 ms |
8824 KB |
Output is correct |
32 |
Correct |
39 ms |
9004 KB |
Output is correct |
33 |
Correct |
37 ms |
8824 KB |
Output is correct |
34 |
Correct |
71 ms |
8828 KB |
Output is correct |
35 |
Correct |
39 ms |
9000 KB |
Output is correct |
36 |
Correct |
37 ms |
8824 KB |
Output is correct |
37 |
Correct |
35 ms |
8480 KB |
Output is correct |
38 |
Correct |
35 ms |
8536 KB |
Output is correct |
39 |
Correct |
34 ms |
8448 KB |
Output is correct |
40 |
Correct |
2261 ms |
26040 KB |
Output is correct |
41 |
Correct |
2339 ms |
26080 KB |
Output is correct |
42 |
Correct |
2354 ms |
27124 KB |
Output is correct |
43 |
Correct |
2284 ms |
33648 KB |
Output is correct |
44 |
Correct |
2315 ms |
31756 KB |
Output is correct |
45 |
Correct |
2168 ms |
38800 KB |
Output is correct |
46 |
Correct |
2210 ms |
25972 KB |
Output is correct |
47 |
Correct |
2029 ms |
25520 KB |
Output is correct |
48 |
Correct |
2167 ms |
26420 KB |
Output is correct |
49 |
Correct |
1362 ms |
14960 KB |
Output is correct |
50 |
Correct |
1818 ms |
16368 KB |
Output is correct |
51 |
Correct |
1482 ms |
15980 KB |
Output is correct |
52 |
Correct |
2659 ms |
26080 KB |
Output is correct |
53 |
Correct |
2643 ms |
26788 KB |
Output is correct |
54 |
Correct |
2781 ms |
26220 KB |
Output is correct |
55 |
Correct |
2592 ms |
32616 KB |
Output is correct |
56 |
Correct |
2465 ms |
35720 KB |
Output is correct |
57 |
Correct |
2483 ms |
25888 KB |
Output is correct |
58 |
Correct |
2494 ms |
25500 KB |
Output is correct |
59 |
Correct |
1452 ms |
14960 KB |
Output is correct |