Submission #537782

# Submission time Handle Problem Language Result Execution time Memory
537782 2022-03-15T13:46:27 Z tqbfjotld Paths (RMI21_paths) C++14
100 / 100
317 ms 19704 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long

int chainlengths[100005];
int curans = 0;
int ch[100005];
int ans[100005];

vector<pair<int,int> > adjl[100005];

int n,K;

multiset<int> s1,s2;

void add(int num){
    //printf("add %lld\n",num);
    if (s2.empty() || num>(*--s2.end())){
        s1.insert(num);
        curans += num;
    }
    else{
        s2.insert(num);
    }
    if (s1.size()>K){
        s2.insert(*s1.begin());
        curans -= *s1.begin();
        s1.erase(s1.begin());
    }
}

void rem(int num){
    //printf("rem %lld\n",num);
    auto it = s1.lower_bound(num);
    if (it!=s1.end() && (*it)==num){
        s1.erase(s1.lower_bound(num));
        curans -= num;
    }
    else{
        assert((*s2.lower_bound(num))==num);
        s2.erase(s2.lower_bound(num));
    }
    if (s1.size()<K && s2.size()>0){
        curans += *--s2.end();
        s1.insert(*--s2.end());
        s2.erase(--s2.end());
    }
}

pair<int,int> dfs1(int node, int pa){
    int cch = node;
    int cval = 0;
    for (auto x : adjl[node]){
        if (x.first==pa){
            continue;
        }
        auto res = dfs1(x.first,node);
        res.first += x.second;
        chainlengths[res.second] = res.first;
        if (res.first>cval){
            cch = res.second;
            cval = res.first;
        }
    }
    ch[node] = cch;
    return {cval,cch};
}

void dfs2(int node, int pa){
    int orig = ch[node];
    int l1 = 0;
    int l2 = 0;
    int l1n = node;
    int l2n = node;
    for (auto x : adjl[node]){
        if (chainlengths[ch[x.first]]>=l1){
            l2 = l1;
            l2n = l1n;
            l1 = chainlengths[ch[x.first]];
            l1n = x.first;
        }
        else if (chainlengths[ch[x.first]]>=l2){
            l2 = chainlengths[ch[x.first]];
            l2n = x.first;
        }
    }
    ans[node] = curans;
    assert(s1.size()<=K);
    for (auto x : adjl[node]){
        if (x.first==pa) continue;
        int chid;
        if (adjl[node].size()==1){
            chid = node;
        }
        else if (x.first==l1n){
            chid = ch[l2n];
        }
        else{
            chid = ch[l1n];
        }
        rem(chainlengths[chid]);
        chainlengths[chid]+=x.second;
        ch[node] = chid;
        add(chainlengths[chid]);
        rem(chainlengths[ch[x.first]]);
        chainlengths[ch[x.first]] -= x.second;
        add(chainlengths[ch[x.first]]);
        dfs2(x.first,node);
        rem(chainlengths[chid]);
        chainlengths[chid]-=x.second;
        add(chainlengths[chid]);
        rem(chainlengths[ch[x.first]]);
        chainlengths[ch[x.first]] += x.second;
        add(chainlengths[ch[x.first]]);
    }
    ch[node] = orig;
}

 main(){
    scanf("%lld%lld",&n,&K);
    for (int x = 0; x<n-1; x++){
        int a,b,c;
        scanf("%lld%lld%lld",&a,&b,&c);
        adjl[a].push_back({b,c});
        adjl[b].push_back({a,c});
    }
    auto res1 = dfs1(1,0);
    for (int x = 0; x<n; x++){
        add(chainlengths[x+1]);
    }
    dfs2(1,0);
    for (int x = 1; x<=n; x++){
        printf("%lld\n",ans[x]);
    }
}

Compilation message

Main.cpp: In function 'void add(long long int)':
Main.cpp:25:18: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   25 |     if (s1.size()>K){
      |         ~~~~~~~~~^~
Main.cpp: In function 'void rem(long long int)':
Main.cpp:43:18: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   43 |     if (s1.size()<K && s2.size()>0){
      |         ~~~~~~~~~^~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from Main.cpp:1:
Main.cpp: In function 'void dfs2(long long int, long long int)':
Main.cpp:88:21: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   88 |     assert(s1.size()<=K);
      |            ~~~~~~~~~^~~
Main.cpp: At global scope:
Main.cpp:119:2: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  119 |  main(){
      |  ^~~~
Main.cpp: In function 'int main()':
Main.cpp:127:10: warning: variable 'res1' set but not used [-Wunused-but-set-variable]
  127 |     auto res1 = dfs1(1,0);
      |          ^~~~
Main.cpp:120:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  120 |     scanf("%lld%lld",&n,&K);
      |     ~~~~~^~~~~~~~~~~~~~~~~~
Main.cpp:123:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  123 |         scanf("%lld%lld%lld",&a,&b,&c);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 3 ms 2772 KB Output is correct
9 Correct 3 ms 2772 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 3 ms 2772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 3 ms 2772 KB Output is correct
9 Correct 3 ms 2772 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 3 ms 2772 KB Output is correct
13 Correct 6 ms 2900 KB Output is correct
14 Correct 5 ms 3052 KB Output is correct
15 Correct 5 ms 2984 KB Output is correct
16 Correct 5 ms 2856 KB Output is correct
17 Correct 5 ms 2900 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 5 ms 2900 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 268 ms 15872 KB Output is correct
2 Correct 262 ms 18392 KB Output is correct
3 Correct 202 ms 15700 KB Output is correct
4 Correct 275 ms 15752 KB Output is correct
5 Correct 263 ms 16956 KB Output is correct
6 Correct 281 ms 15664 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 3 ms 2772 KB Output is correct
9 Correct 3 ms 2772 KB Output is correct
10 Correct 4 ms 2772 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 3 ms 2772 KB Output is correct
13 Correct 6 ms 2900 KB Output is correct
14 Correct 5 ms 3052 KB Output is correct
15 Correct 5 ms 2984 KB Output is correct
16 Correct 5 ms 2856 KB Output is correct
17 Correct 5 ms 2900 KB Output is correct
18 Correct 4 ms 2900 KB Output is correct
19 Correct 5 ms 2900 KB Output is correct
20 Correct 268 ms 15872 KB Output is correct
21 Correct 262 ms 18392 KB Output is correct
22 Correct 202 ms 15700 KB Output is correct
23 Correct 275 ms 15752 KB Output is correct
24 Correct 263 ms 16956 KB Output is correct
25 Correct 281 ms 15664 KB Output is correct
26 Correct 317 ms 16608 KB Output is correct
27 Correct 271 ms 18720 KB Output is correct
28 Correct 283 ms 19240 KB Output is correct
29 Correct 212 ms 16492 KB Output is correct
30 Correct 289 ms 16444 KB Output is correct
31 Correct 297 ms 16528 KB Output is correct
32 Correct 291 ms 17640 KB Output is correct
33 Correct 303 ms 16576 KB Output is correct
34 Correct 183 ms 16356 KB Output is correct
35 Correct 283 ms 16476 KB Output is correct
36 Correct 278 ms 19704 KB Output is correct