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Submission #538732

# Submission time Handle Problem Language Result Execution time Memory
538732 2022-03-17T15:35:29 Z dantoh000 Paths (RMI21_paths) C++14
100 / 100
 305 ms 16796 KB 
#include <bits/stdc++.h>
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef pair<int,int> ii;
int n,k;
vector<ii> G[100005];
ll d[100005];
int p[100005];
int dep[100005];
int d1 = 0;
int d2 = 0;
int vis[19];
int dtp[100005];
int ondia[100005];
ll len[100005];
multiset<ll> top;
multiset<ll> bottom;
ll cursum = 0;
ll ans[100005];
void change(ll a, ll b){
    //printf("changing %lld for %lld\n",a,b);
    if (top.find(a) != top.end()) {
        top.erase(top.find(a));
        cursum -= a;
    }
    else if (bottom.find(a) != bottom.end()) bottom.erase(bottom.find(a));
    if (top.empty() || b >= *top.begin()){
        top.insert(b);
        cursum += b;
    }
    else{
        bottom.insert(b);
    }
    while (top.size() > k){
        auto it = top.begin();
        bottom.insert(*it);
        //printf("too many, removing %lld\n",*it);
        cursum -= *it;
        top.erase(it);
    }
    while (bottom.size() && top.size() < k){
        auto it = --bottom.end();
        top.insert(*it);
        //printf("too little, adding %lld\n",*it);
        cursum += *it;
        bottom.erase(it);
    }

}

void dfs(int u){
    for (auto v : G[u]){
        if (v.fi == p[u]) continue;
        d[v.fi] = d[u]+v.se;
        dep[v.fi] = dep[u]+1;
        p[v.fi] = u;
        dtp[v.fi] = v.se;
        dfs(v.fi);
    }
}

ll dfs2(int u){
    ll best = 0;
    for (auto v : G[u]){
        if (v.fi == p[u]) continue;
        ll x = dfs2(v.fi);
        if (best < x){
            if (best != 0) change(-1, best);
            best = x;
        }
        else{
            if (x != 0) change(-1, x);
        }
    }
    len[u] = best+dtp[u];
    //printf("len from %d = %lld\n",u,len[u]);
    return len[u];
}

void dfs3(int u, ll l){
    //printf("currently at %d: ans = %lld\n",u,cursum);
    //printf("at top: "); for (auto x : top) printf("%lld ",x); printf("\n");
    //printf("at bottom: "); for (auto x : bottom) printf("%lld ",x);  printf("\n");
    ans[u] = cursum;
    for (auto v : G[u]){
        if (v.fi == p[u]) continue;
        if (ondia[u] && !ondia[v.fi]){
            l = max(d[d2]-d[u], d[u]);
            change(l,l+v.se);
            change(len[v.fi], len[v.fi]-v.se);
            dfs3(v.fi, l+v.se);
            change(len[v.fi]-v.se,len[v.fi]);
            change(l+v.se,l);
        }
        else if (!ondia[u] && !ondia[v.fi]){
            change(l,l+v.se);
            change(len[v.fi], len[v.fi]-v.se);
            dfs3(v.fi, l+v.se);
            change(len[v.fi]-v.se,len[v.fi]);
            change(l+v.se,l);
        }
        else{
            change(d[d2]-d[u], d[d2]-d[v.fi]);
            change(d[u], d[v.fi]);
            dfs3(v.fi,l);
            change(d[v.fi],d[u]);
            change(d[d2]-d[v.fi],d[d2]-d[u]);
        }
    }
}

int main(){
    scanf("%d%d",&n,&k);
    for (int i = 1 ; i < n; i++){
        int a,b,c;
        scanf("%d%d%d",&a,&b,&c);
        G[a].push_back({b,c});
        G[b].push_back({a,c});
    }
    memset(p,-1,sizeof(p));
    dfs(1);
    for (int i = 1; i <= n; i++){
        if (d[i] > d[d1]) d1 = i;
    }
    memset(p,-1,sizeof(p));
    memset(d,0,sizeof(d));
    memset(dep,0,sizeof(dep));
    memset(dtp,0,sizeof(dtp));
    dfs(d1);
    for (int i = 1; i <= n; i++){
        if (d[i] > d[d2]) d2 = i;
    }

    //printf("diameter %d %d\n",d1,d2);
    int cur = d2;
    while (cur != -1){
        ondia[cur] = 1;
        cur = p[cur];
    }
    dfs2(d1);
    if (len[d1] != 0) change(-1, len[d1]);

    dfs3(d1, 0);
    for (int i = 1; i <= n; i++){
        printf("%lld\n",ans[i]);
    }








}

Compilation message

Main.cpp: In function 'void change(ll, ll)':
Main.cpp:36:23: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   36 |     while (top.size() > k){
      |            ~~~~~~~~~~~^~~
Main.cpp:43:40: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   43 |     while (bottom.size() && top.size() < k){
      |                             ~~~~~~~~~~~^~~
Main.cpp: In function 'int main()':
Main.cpp:115:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  115 |     scanf("%d%d",&n,&k);
      |     ~~~~~^~~~~~~~~~~~~~
Main.cpp:118:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  118 |         scanf("%d%d%d",&a,&b,&c);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB Output is correct
2 Correct 3 ms 4620 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB Output is correct
2 Correct 3 ms 4620 KB Output is correct
3 Correct 3 ms 4564 KB Output is correct
4 Correct 3 ms 4564 KB Output is correct
5 Correct 4 ms 4564 KB Output is correct
6 Correct 4 ms 4564 KB Output is correct
7 Correct 4 ms 4564 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB Output is correct
2 Correct 3 ms 4620 KB Output is correct
3 Correct 3 ms 4564 KB Output is correct
4 Correct 3 ms 4564 KB Output is correct
5 Correct 4 ms 4564 KB Output is correct
6 Correct 4 ms 4564 KB Output is correct
7 Correct 4 ms 4564 KB Output is correct
8 Correct 4 ms 4692 KB Output is correct
9 Correct 4 ms 4692 KB Output is correct
10 Correct 4 ms 4692 KB Output is correct
11 Correct 4 ms 4692 KB Output is correct
12 Correct 3 ms 4692 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB Output is correct
2 Correct 3 ms 4620 KB Output is correct
3 Correct 3 ms 4564 KB Output is correct
4 Correct 3 ms 4564 KB Output is correct
5 Correct 4 ms 4564 KB Output is correct
6 Correct 4 ms 4564 KB Output is correct
7 Correct 4 ms 4564 KB Output is correct
8 Correct 4 ms 4692 KB Output is correct
9 Correct 4 ms 4692 KB Output is correct
10 Correct 4 ms 4692 KB Output is correct
11 Correct 4 ms 4692 KB Output is correct
12 Correct 3 ms 4692 KB Output is correct
13 Correct 6 ms 4692 KB Output is correct
14 Correct 7 ms 4820 KB Output is correct
15 Correct 6 ms 4692 KB Output is correct
16 Correct 5 ms 4820 KB Output is correct
17 Correct 5 ms 4692 KB Output is correct
18 Correct 6 ms 4692 KB Output is correct
19 Correct 5 ms 4692 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 272 ms 13576 KB Output is correct
2 Correct 287 ms 15412 KB Output is correct
3 Correct 143 ms 11232 KB Output is correct
4 Correct 295 ms 13524 KB Output is correct
5 Correct 228 ms 14896 KB Output is correct
6 Correct 262 ms 13584 KB Output is correct

Subtask #6
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB Output is correct
2 Correct 3 ms 4620 KB Output is correct
3 Correct 3 ms 4564 KB Output is correct
4 Correct 3 ms 4564 KB Output is correct
5 Correct 4 ms 4564 KB Output is correct
6 Correct 4 ms 4564 KB Output is correct
7 Correct 4 ms 4564 KB Output is correct
8 Correct 4 ms 4692 KB Output is correct
9 Correct 4 ms 4692 KB Output is correct
10 Correct 4 ms 4692 KB Output is correct
11 Correct 4 ms 4692 KB Output is correct
12 Correct 3 ms 4692 KB Output is correct
13 Correct 6 ms 4692 KB Output is correct
14 Correct 7 ms 4820 KB Output is correct
15 Correct 6 ms 4692 KB Output is correct
16 Correct 5 ms 4820 KB Output is correct
17 Correct 5 ms 4692 KB Output is correct
18 Correct 6 ms 4692 KB Output is correct
19 Correct 5 ms 4692 KB Output is correct
20 Correct 272 ms 13576 KB Output is correct
21 Correct 287 ms 15412 KB Output is correct
22 Correct 143 ms 11232 KB Output is correct
23 Correct 295 ms 13524 KB Output is correct
24 Correct 228 ms 14896 KB Output is correct
25 Correct 262 ms 13584 KB Output is correct
26 Correct 284 ms 13864 KB Output is correct
27 Correct 231 ms 15620 KB Output is correct
28 Correct 289 ms 16132 KB Output is correct
29 Correct 182 ms 11572 KB Output is correct
30 Correct 305 ms 13848 KB Output is correct
31 Correct 219 ms 12872 KB Output is correct
32 Correct 279 ms 15404 KB Output is correct
33 Correct 248 ms 13828 KB Output is correct
34 Correct 144 ms 11156 KB Output is correct
35 Correct 258 ms 13836 KB Output is correct
36 Correct 198 ms 16796 KB Output is correct