Блог пользователя atcoder_official

Автор atcoder_official, история, 6 месяцев назад, По-английски

We will hold Denso Create Programming Contest 2024(AtCoder Beginner Contest 361).

We are looking forward to your participation!

  • Проголосовать: нравится
  • +136
  • Проголосовать: не нравится

»
6 месяцев назад, # |
  Проголосовать: нравится -105 Проголосовать: не нравится

Contest Topic Predictions for ABC:

A will be brute force.

B,C and D will be a Graph/Segment Tree/Advanced DP Problem/BS on answers/Sweepline.

E,F and G will be advanced data structures, MST, ternary search, NP Hard and 3 SAT problem.

»
6 месяцев назад, # |
  Проголосовать: нравится -48 Проголосовать: не нравится

Plz dont organise contest by Denso hereafter. Bring Back Suntory contests.

»
6 месяцев назад, # |
Rev. 3   Проголосовать: нравится -15 Проголосовать: не нравится

If I still can't solve till I open problem D, I may really cry.

»
6 месяцев назад, # |
  Проголосовать: нравится -10 Проголосовать: не нравится

GL & HF

Hope E.

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится -25 Проголосовать: не нравится

    Hello, I'm a primary school student, too. I live in Dalian Development Zone!

»
6 месяцев назад, # |
  Проголосовать: нравится -33 Проголосовать: не нравится

Are there any Chinese?

»
6 месяцев назад, # |
  Проголосовать: нравится -23 Проголосовать: не нравится

qpqp

»
6 месяцев назад, # |
  Проголосовать: нравится -16 Проголосовать: не нравится

I couldn't solve problem B any more! Because my maths is terrible, I couldn't imagine those cubiods' location!

  • »
    »
    6 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +10 Проголосовать: не нравится

    Disclaimer: contest is over now so we are allowed to discuss solutions.

    Define a boolean function $$$f(x_1, y_1, x_2, y_2)$$$ to be true if the ranges $$$(x1, y1)$$$ and $$$(x2, y2)$$$ intersect. (Take note of the open intervals).

    Then, the two cuboids intersect if and only if $$$f(a, d, g, j)$$$, $$$f(b, e, h, k)$$$ and $$$f(c, f, i, l)$$$ are all true.

    My (messy) solution. I find it funny how I solved the problems in the order A CDEF B.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Is F a known problem? I was sure I'd find code for it somewhere online but could only find a paper on it.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

This solution for F gives WA for 2 test cases,can anyone help?

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

This was a great contest, enjoyed all problems and this is my first time solving A-F. B was a bit annoying tho.

  • »
    »
    6 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

    Me too. I regretted skipping B because it added a lot of time to my penalty :(

    (I did the problems in the order A CDEF B)

    • »
      »
      »
      6 месяцев назад, # ^ |
        Проголосовать: нравится 0 Проголосовать: не нравится

      is this your alt acc,i mean reaching upto F and still a newbie doesnt make sense to me

      • »
        »
        »
        »
        6 месяцев назад, # ^ |
          Проголосовать: нравится 0 Проголосовать: не нравится

        No, my accounts on both Codeforces and AtCoder are jatrophalouvre, but my accounts are very new (I created them around two weeks ago) so my ratings are not accurate yet.

    • »
      »
      »
      5 месяцев назад, # ^ |
        Проголосовать: нравится 0 Проголосовать: не нравится

      AtCoder penalty time is the maximum submission time, not their (weighted) sum. The order doesn't matter if you solve the same set of problems.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

This contest was easier than usual, hmmm?

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Oh my god

There is an original problem

»
6 месяцев назад, # |
Rev. 2   Проголосовать: нравится +8 Проголосовать: не нравится

My logic for E was as follows: The optimal path will start from a leaf and end at another leaf. Let's say the two optimal leaves are a and b, and their LCA (lowest common ancestor is) c, then all the edges in the tree will be traversed twice except the ones between a and c, and b and c. Hence we want to maximise the sum of those edges.

For this I iterated over all the vertices assuming them as LCA and found out the maximum value of highest depth. See my code for more details: https://atcoder.jp/contests/abc361/submissions/55306890

But I'm getting Wrong Answer on 5 test cases. Can anyone help me find out the issue here?

Update: Found the error. I needed to use multiset instead of set

  • »
    »
    6 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +2 Проголосовать: не нравится

    The answer can be calculated as each edge weight * 2 minus the weighted diameter of the tree

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    My ideas was for each node i to find the maximum distance to some other node denoted by ans[i] . Now if I start from u, the answer will be 2 * ( sum of all edge weight ) — ans[u] . We need to return the minimum . JAVA : TLE C++ : AC

»
6 месяцев назад, # |
  Проголосовать: нравится -10 Проголосовать: не нравится

B and C were bad, and I am surprised to see those many submissions on them. I really feel the dumbest.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

D cooked me ,time to focus on implementation

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

how to solve d?

  • »
    »
    6 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

    D is a brute force search problem. I did double-ended BFS. It is a bit overkill but I used this because I didn't want to TLE, although I've seen normal BFS work too.

    Edit: downvoters please explain?

    • »
      »
      »
      6 месяцев назад, # ^ |
        Проголосовать: нравится 0 Проголосовать: не нравится

      could you please explain ?? with your code ?

      • »
        »
        »
        »
        6 месяцев назад, # ^ |
        Rev. 3   Проголосовать: нравится 0 Проголосовать: не нравится

        I wrote a normal BFS solution as well. I will be using this code because it is easier to understand. However, the prerequisites are that you understand and know how to apply BFS algorithms. If not, a simple search will suffice.

        Starting with main(), we first cin>>n>>st>>te. To make our lives easier, we add ".." to the end of st and te. Now that we have initialized our start and goal states, we carry out bfs().

        Moving onto bfs(), the first line should be fairly obvious: if st==te then we clearly return 0. Otherwise, we start with some more initializing.

        unordered_map<string, int> d tracks the distance from st, i.e. d[s] is the minimal number of operations required to get from st to s. Then, we want to find d[te].

        unordered_map<string, bool> vis tracks whether we have already processed a string, i.e. if vis[s]=1, then we have already processed s, and we shall not process s again.

        queue<string> q is the standard BFS queue. Actually, all of these initializing things should make sense if you know BFS.

        The main idea of the BFS is that we start from a string u and brute force every string v that can be reached from u in 1 operation. To do this, we first add st to q, set d[st]=0 and vis[st]=1. These should be self-explanatory.

        Then, to find all strings v that can be reached from u in 1 operation, we first initialize an integer pos, which is the position of the gaps, i.e. $$$u[pos]=u[pos+1]='.'$$$. Now that we know the gaps, we brute force swapping every adjacent characters with $$$[pos, pos+1]$$$. We do this by looping from i=0 to i=u.size()-2. Note that we don't loop to i=u.size()-1, because then i+1 will be out of range of u. We need some additional if conditionals to ensure that the intervals $$$[i, i+1]$$$ and $$$[pos, pos+1]$$$ don't overlap.

        Then, to swap $$$[i, i+1]$$$ and $$$[pos, pos+1]$$$, simply taking swap(v[i], v[pos]) and swap(v[i+1], v[pos+1]) suffices. The rest are all standard BFS procedures.

        • »
          »
          »
          »
          »
          6 месяцев назад, # ^ |
          Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

          hello can u help me in debugging my it's not working for 3rd test case int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int n; cin>>n; string s; cin>>s; string t; cin>>t; map<string ,int>mp; if(s==t){ cout<<0; } else{ s.push_back('.'); s.push_back('.'); t.push_back('.'); t.push_back('.');

          map<string ,int>vis;
          multiset<pair<int ,pair<string ,int>>>mm;
          mm.insert({0,{s,n}});
          mp[s]=0;
          vis[s]=1;
          while(mm.size()!=0){
              auto vv=*mm.begin();
              int xx=vv.first;
              string sn=vv.second.first;
              int nn=vv.second.second;
              mm.erase(mm.begin());
              //mm.pop();
              vis[sn]=1;
              for(int i=0;i<=n;i++){
                  if(i==nn){
                      continue;
                  }
                  if(i==nn+1){
                      continue;
                  }
                  if(i==nn-1){
                      continue;
                  }
                  string s2=sn;
                  swap(s2[i],s2[nn]);
                  swap(s2[i+1],s2[nn+1]);
                  if(vis[s2]==0){
          
                      mm.insert({xx+1,{s2,i}});
                      mp[s2]=xx+1;
                      vis[s2]=1;
          
                  }
          
              }
          }
          if(mp[t]==0){
              cout<<-1;
          }
          else{
              cout<<mp[t];
          }

          }

          return 0; } edit: i got my mistake

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

how to do f?

»
6 месяцев назад, # |
Rev. 3   Проголосовать: нравится 0 Проголосовать: не нравится

luck for me,is can be ac! (problem D)

#include <bits/stdc++.h>
#define pii pair<int, int>
#define int long long
#define rep(i, j, n) for (int i = (int)(j); i <= (int)(n); i++)
#define endl '\n'
using namespace std;
const int Mod = 1e9 + 7;
inline int add(int a, const int &b){ a += b &mdash; Mod; a += (a>>31) & Mod; return a; }
inline void usub(int &a, const int &b){ a -= b; a += (a>>31) & Mod; }
inline int sub(int a, const int &b){ a -= b, a += (a>>31) & Mod; return a; }
inline void umul(int &a, const int &b){ a = (int)(1ll * a * b % Mod); }
inline int mul(const int &a, const int &b){ return (int)(1ll * a * b % Mod); }
int qpow(int b, int p){ int ret = 1; while(p){ if(p & 1) umul(ret, b); umul(b, b), p >>= 1; } return ret; }
// priority_queue<pii, vector<pii>, less<pii>> q;
char c[20],c1[20];
int n;
int aws=100000000000000000;
int vis[20];
bool j(){
	rep(i,1,n){
		if(c[i]!=c1[i]){
			return false;
		}
	}
	return true;
}
void dfs(int p,int lay){
	if(j()){
		aws=min(aws,lay);
	}
	if(lay>8){
		return;
	}
	rep(i,lay-1,n-1){
		if(c[i]!='.'&&c[i+1]!='.'&&vis[i]==0){
			swap(c[i],c[p]);
			swap(c[i+1],c[p+1]);
			vis[i]=1;
			dfs(i,lay+1);
			vis[i]=0;
			swap(c[i],c[p]);
			swap(c[i+1],c[p+1]);
		}
	}
}
void solve() {
	cin>>n;
	int ct1=0,ct2=0,ct3=0,ct4=0;
	rep(i,1,n){
		cin>>c[i];
		ct1+=(c[i]=='B');
		ct2+=(c[i]=='W');
	}
	rep(i,1,n){
		cin>>c1[i];
		ct3+=(c1[i]=='B');
		ct4+=(c1[i]=='W');
	}
	if(ct1==ct3&&ct2==ct4){
		n++;
		c[n]='.';
		c1[n]='.';
		n++;
		c[n]='.';
		c1[n]='.';
		dfs(n-1,0);
		cout<<(aws == 100000000000000000 ? -1:aws);
	}
	else{
		cout<<-1;
	}
}
int32_t main() {
	ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
// int t;
// cin >> t;
// while (t--){
	solve();
//}
	return 0;
}
//
»
6 месяцев назад, # |
Rev. 3   Проголосовать: нравится 0 Проголосовать: не нравится

What is wrong with this solution in C?

#include <vector>
#include <cmath>
#include <algorithm>
#include <numeric>
#include <iostream>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#define all(x) x.begin(),x.end()
using namespace std;
void paveway(){
    long long n , k; cin >> n >> k; vector<long long> a(n); 
    long long mn = 10000000000 , mx = -10000000000;
    for(long long i = 0; i < n; i++) cin >> a[i];
    sort(all(a));
    if(!( k %  2)){
        for(ll i = (k / 2)-1; i < (n - (i + 1)); i++){
            mn = min(mn , a[i]);
            mx = max(mx , a[i]);
        }
        cout << mx - mn << endl ;
    }else{
        for(long long i = (k/2)+1;i < (n - ((k/2))); i++){
            mn = min(mn , a[i]);
            mx = max(mx , a[i]);
        }
        cout << mx - mn << endl;
    }
}
int main (){ 
	ios::sync_with_stdio(false); 
	cin.tie(nullptr);
	long long t = 1;
	//long long t; cin >> t;
	for(;t--;)
	paveway();
return 0;
}
»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Why this time abc361 have a same problem with luogu(an oj in China)?

The same problem in luogu: https://www.luogu.com.cn/problem/P9118

There is a discuss in luogu recently: https://www.luogu.com.cn/discuss/845537

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    Disappointing, I was pretty sure the problem wasn't original but couldn't find the solution for it using an english search engine.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

The problem F is an original problem.A lot of people do it.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Solved ABCF, D and E were harder than F

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Is F based on Mobius Function? I believe F is Inclusion-Exclusion, but could not figure out which values to include/exclude in time.

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    Yes it is.

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится +6 Проголосовать: не нравится

    You don't need any advanced knowledge for F. Just try to optimize the brute force. There is ~$$$10^6$$$ values of x where $$$b \geq 3$$$ so you can track those values in a set to avoid overcounting. For $$$b = 2$$$ binary search on the biggest square that is less or equal to $$$N$$$. My submission: https://atcoder.jp/contests/abc361/submissions/55297768

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится +5 Проголосовать: не нравится

    It is kind of smart brute force. Firstly we will count the number of values such that $$$i^2<=N$$$ . After this, we have to count the cubes and higher power. For doing this we can just start a loop from $$$2$$$ till $$$\sqrt[3]{n}$$$ .

    We must take care to not overcount elements, for example $$$64$$$ which is both the square of 8 and the cube of 2

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится +5 Проголосовать: не нравится

    You can do it using Inclusion-Exclusion too. You've to basically count all squares, cubes, a^4,.. a^k less than N. Iterate from highest power to lowest power and find those values (using kth root). Then for each power k you've to exclude calculated value of its multiples.

    • »
      »
      »
      5 месяцев назад, # ^ |
        Проголосовать: нравится 0 Проголосовать: не нравится

      can u explain how to count squares, cubes, a^4,.. a^k with kth root ??

      • »
        »
        »
        »
        5 месяцев назад, # ^ |
          Проголосовать: нравится 0 Проголосовать: не нравится

        The amount of k-th powers from 1 to N is floor(N^(1/k)).

      • »
        »
        »
        »
        5 месяцев назад, # ^ |
        Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

        Count of a^k from 1 to n is a^(1/k). You can calculate kth root using binary search, it's a pretty standard problem you can google it. Take care of the edge case when a^k exceeds long long range. Here's a link to my submission.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

can anyone please help me with this: https://atcoder.jp/contests/abc361/submissions/55314240? I'm getting WA on two tests, even though my code passed for 1 and 1e18

»
6 месяцев назад, # |
Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

There's an exactly same problem from the National Olympics in Informatics (Spring Contest, 2023) in China, even the samples are same (original sample #3->sample #1, original sample #4->sample #3). Is it a concidence?

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

https://www.luogu.com.cn/problem/P9118 You know that F is an known problem,but you don't know that this problem is a pro version of F.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Solved ABCD,problem B is funny

»
6 месяцев назад, # |
Rev. 3   Проголосовать: нравится 0 Проголосовать: не нравится

This is the code for question B, only one test point did not pass. Can anyone provide me with a set of hack data?

#include <iostream>
#include <algorithm>
#include <cstring>
#include <sstream>
#include <cstdio>
#include <vector>
#include <queue>
#include <map>
#include <stack>

#define endl "\n"
typedef long long LL;

using std::cin;
using std::cout;
using std::getline;

using std::max;
using std::min;
using std::sort;

using std::vector;
using std::string;
using std::stringstream;
using std::queue;
using std::priority_queue;
using std::map;
using std::stack;

struct Node {
    int x, y, z;
};

vector<Node> pii;

int main() {
    int x, y, z, a, b, c;
    int xx, yy, zz, aa, bb, cc;
    cin >> x >> y >> z >> a >> b >> c;
    xx = x;
    yy = y;
    zz = z;
    aa = a;
    bb = b;
    cc = c;
    pii.push_back({x, y, z});
    pii.push_back({a, y, z});
    pii.push_back({x, y, c});
    pii.push_back({a, y, c});
    pii.push_back({a, b, c});
    pii.push_back({x, b, c});
    pii.push_back({x, b, z});
    pii.push_back({a, b, z});
    cin >> x >> y >> z >> a >> b >> c;
    pii.push_back({x, y, z});
    pii.push_back({a, y, z});
    pii.push_back({x, y, c});
    pii.push_back({a, y, c});
    pii.push_back({a, b, c});
    pii.push_back({x, b, c});
    pii.push_back({x, b, z});
    pii.push_back({a, b, z});
    bool ok = false;
    if (a == aa && b == bb && c == cc && x == xx && y == yy && z == zz) ok = true;
    int cccc = 0;
    for (int i = 0; i < 8; i ++) {
        Node now = pii[i];
        if (now.x > min(x, a) && now.x < max(x, a) && now.y > min(y, b) && now.y < max(y, b) && now.z > min(z, c) && now.z < max(z, c)) {
            ok = true; 
        }
    }
    if ((xx < a && yy < b && zz < c && aa >= a && bb >= b && cc >= c) || (x < aa && y < bb && z < cc && a >= aa && b >= bb && c >= cc)) ok = true;
    x = xx;
    y = yy;
    z = zz;
    a = aa;
    b = bb;
    c = cc;
    for (int i = 8; i < 16; i ++) {
        Node now = pii[i];
        if (now.x > min(x, a) && now.x < max(x, a) && now.y > min(y, b) && now.y < max(y, b) && now.z > min(z, c) && now.z < max(z, c)) {
            ok = true; 
        }
    }
    if (ok) cout << "Yes" << endl;
    else cout << "No" << endl;
    return 0;
}

/*

*/
»
6 месяцев назад, # |
  Проголосовать: нравится +3 Проголосовать: не нравится

Is there an explanation as to why G isn't commonly included in official editorials?

»
6 месяцев назад, # |
Rev. 3   Проголосовать: нравится 0 Проголосовать: не нравится

I noticed a strange behaviour in c++ today while writing code for problem D. When I use & sign before "it" in the code, the output is some gibberish like "��q{xU"

    ll n = 16;
    string s = "BBBWBWWWBBWWBW..";
    queue<pair<ll,string>>q;
    q.push({n,s});
    while(!q.empty()){
        ll sz = q.size();
        while(sz--){
            auto &it = q.front();
            q.pop();
            ll pos = it.first;
            string str = it.second;
            cout<<"str = "<<str<<endl;
        }
    } 

But when I remove the & sign, I get the expected output "BBBWBWWWBBWWBW..". Can someone explain what is this and why is this happening ?

  • »
    »
    6 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

    You use & when you want a reference to the value. i.e. for (auto & i : v) i++; will increase all elements in a vector, while for(auto i : v) i++; will not affect the original vector. You are getting a reference to the front of your queue, then removing the front, so you may get some garbage because you're referencing something that doesn't exist.

    • »
      »
      »
      6 месяцев назад, # ^ |
      Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

      What you are saying is true and I agree with you. However, this issue only happens when string length is >15. I tried for various lengths <=15 and it works in those cases. Do you have any explanation for that ?

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

If anyone could tell me the idea for G that would be great. I tried the following:

First, we clearly just want to find all enclosed areas. Let pair<int, int> f[i] denote the coordinates of the i-th stone. Then, we connect a (bidirectional) edge from $$$u$$$ to $$$v$$$ if |f[u].first-f[v].first|<=1 and |f[u].second-f[v].second|<=1. Then, an enclosed area is analogous to a cycle in this graph. If we have a cycle $$$a_1, a_2, \dots, a_n$$$ in this graph, we can calculate the number of lattice points enclosed by the polygon formed by f[a[1]], f[a[2]], ..., f[a[n]] by using Pick's Theorem. We can calculate the area using shoelace and "reverse engineer" the number of lattice points enclosed by the polygon using Pick's Theorem. Summation of this should give us the answer.

This, however, is giving WA. If anyone could correct me, that would be greatly appreciated.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Lol, I didn't expect this to work, but F is brute force!

F Brute Force

»
6 месяцев назад, # |
  Проголосовать: нравится +9 Проголосовать: не нравится

Many thanks to yuto1115 for sharing an amazing solution of G — Go Territory (*ˊᗜˋ*)/ᵗᑋᵃᐢᵏ ᵞᵒᵘ*

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится +19 Проголосовать: не нравится

    I totally agree. During the contest I came up with the original idea (from another editorial) and failed to consider all cases properly. Actually, it took me nearly a dozen of submissions after the contest for all tests to be passed. I was wondering how so many people during the contest did it so fast and clean. After reading about yuto1115's approach I feel really stupid, but now I fully understand how this problem should have been solved during the contest. For sure, one of the most educational problems I've seen so far on AtCoder.

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

E is this problem

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

hey guys. how to solve F?

  • »
    »
    6 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    there is said to be a brute force solution, but i cannot really understand that. my solution is to use dp and inclusion-exclusion principle. first, we can ignore 1 as it is too special. then let f[x] be the number of integars between 1 and N that can be written as pow(p, x). we can calculate it with floor(pow(n, 1/x)) - 1 (you may need to implement bisection method to avoid precision problem with these cmath functions). but there is obviously some duplicated integars calculated. for example, 2^6 is in f[6] while also in f[3] as 4^3. to avoid this, you can substract all f[x*j] from f[x] where j are integars greater than 2. the reason is simple: we calculate an integar only in f[x] where x is the greatest possible. by doing this all f[x] we calculated includes no duplicated integars. we can get the sum of all f[x] as the answer. lastly dont forget the 1 we excluded previously. my code

    • »
      »
      »
      6 месяцев назад, # ^ |
        Проголосовать: нравится 0 Проголосовать: не нравится

      thanks! I still don't understand why your solution works. (the inclusion-exclusion part). Can you prove that you're not overcounting (or undercounting) anything?

      • »
        »
        »
        »
        6 месяцев назад, # ^ |
          Проголосовать: нравится 0 Проголосовать: не нравится

        if an integar x is going to be counted, it can be written as p^q, let assune a case where q is the greatest. in another word, if we decompose the prime factors of x, the gcd of all the index of the factors is q. now we can learn that for every integar x there exist an only q which is greatest possible. as 2^60 > 1e18, all the q of the integars we are counting is no greater than 60, so we can enumerate q from 60 to 2. for each m as a factor of q. m < q, x = p^q = (p^(q/m))^m. when we are calculating f[m], such x is also calculated in f[q], so we substract it. and m*j (j>=2) can enumerate all the integars that have a factor m and is greater than m. when m = q, in this case we will not substract f[q] from f[m] because m*j>m. therefore the f[m] remaining includes only x=p^m where m is the greatest and it will make the following recursion holds true. (please forgive my terrible wording as i am not a native english speaker)

        • »
          »
          »
          »
          »
          6 месяцев назад, # ^ |
          Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

          Thanks. It's a beautiful solution! though It took me a while to understand it

      • »
        »
        »
        »
        6 месяцев назад, # ^ |
          Проголосовать: нравится 0 Проголосовать: не нравится

        btw, a similar technique is also performed in this problem (although i think that is much harder)

»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

I got 2 WA on F, i am not sure whether it is not the correct solution or it is just the precision problem.

#include<bits/stdc++.h>

long long n;
int mem[10000002];

long long qp(long long p, long long q) {
	long long r = 1, b = p;
	while (q) {
		if (q & 1) r = r * b;
		b = b * b;
		q >>= 1;
	}
	return r;
}

long long f(long long x) {
	if (x == 0) return 0;
	if (x <= 1e7) {
		if (mem[x]) return mem[x];
	}
	long long res = 0;
	for (int i = 2; i <= 61; i ++) {
		
		long long l = floor(pow((long double)x, (long double)1.0 / i) + 1e-9);
		res += l - f(l);
	}res ++;
	if (x <= 1e7) mem[x] = res;
	return res;
}

signed main(){
	std::ios::sync_with_stdio(0);
	std::cin.tie(0); std::cout.tie(0);
	mem[1] = 1;
	std::cin >> n;
	std::cout << f(n);
	return 0;
}
»
6 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Is there any way to know what would their CF rating be?

»
5 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

I don't know why Atcoder promotes its contests within Codeforce

»
5 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится
#include <bits/stdc++.h>
using namespace std;
const int N = 1e9 + 5;

#ifndef ONLINE_JUDGE
#include "algo/debug.h"
#else
#define debug(...) 42
#endif

void dfs(int u, int parent, vector<pair<int, int>> adj[], vector<int>& dist, vector<long long>& weight) {
    for(auto& pair : adj[u]) {
        int child = pair.first;
        int wt = pair.second;
        if(child == parent) {
            continue;
        }
        dist[child] = dist[u] + 1;
        weight[child] = weight[u] + wt;
        dfs(child, u, adj, dist, weight);
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int tt = 1;
    cin >> tt;
    while (tt--) {
        int n;
        cin >> n;
        vector<pair<int, int>> adj[n + 1];
        long long totalWeight = 0;
        for(int i = 0; i < n - 1; i++) {
            int u, v, w;
            cin >> u >> v >> w;
            adj[u].push_back({v, w});
            adj[v].push_back({u, w});
            totalWeight += w;
        }
        vector<int> dist(n + 1);
        vector<long long> weight(n + 1);
        dfs(1, -1, adj, dist, weight);
        int oneEnd = -1; 
        long long mxDist = -1;
        for(int i = 1; i <= n; i++) {
            mxDist = max(mxDist, dist[i]);
        }
        int mxWeight = -1;
        for(int i = 1; i <= n; i++) {
            if(mxDist == dist[i]) {
                if(weight[i] > mxWeight) {
                    oneEnd = i;
                    mxWeight = weight[i];
                }
            }
        }
        fill(weight.begin(), weight.end(), 0);
        dfs(oneEnd, -1, adj, dist, weight);
        mxWeight = -1;
        for(int i = 1; i <= n; i++) {
            mxWeight = max(mxWeight, weight[i]);
        }
        cout << (long long)(2 * totalWeight - mxWeight) << "\n";
    }
    return 0;
}

Probelm: E I dont know why is this failing for 7 test cases. Can anyone please help...