Submission #890675

#	Time	Username	Problem	Language	Result	Execution time	Memory
890675		Ahmed57	Sprinkler (JOI22_sprinkler)	C++17	0 / 100	4051 ms	445296 KiB

sprinkler

#include <bits/stdc++.h>

using namespace std;
#define int long long
int dp[200001][41];
int lo[200001][41];
int P[200001],dep[200001];
int Pr[200001][41];
int cnt = 0,n,l;
map<int,int> mp[200001];
vector<int> adj[200001];
int h[200001],sz[200001];
int vis[200001];
map<pair<int,int>,int> getIndex;
int dfs(int i,int pr){
    sz[i] = 1;
    for(auto j:adj[i]){
        if(j==pr||vis[j])continue;
        sz[i]+=dfs(j,i);
    }
    return sz[i];
}
int getCen(int i,int pr,int ss){
    for(auto j:adj[i]){
        if(j==pr||vis[j])continue;
        if(sz[j]*2>ss)return getCen(j,i,ss);
    }
    return i;
}
void lol(int i,int pr,int co,int de){
    mp[de][i] = co;
    for(auto j:adj[i]){
        if(j==pr||vis[j])continue;
        lol(j,i,co,de);
    }
}
void centroid(int i,int pr){
    int cen = getCen(i,i,dfs(i,i));
    vis[cen] = 1;
    P[cen] = pr;
    for(auto j:adj[cen]){
        if(vis[j])continue;
        lol(j,cen,j,cen);
        getIndex[{cen,j}] = cnt++;
    }
    for(auto j:adj[cen]){
        if(vis[j])continue;
        centroid(j,cen);
    }
}
void init(int i,int pr){
    Pr[i][0] = pr;
    dep[i] = dep[pr]+1;
    for(int j = 1;j<19;j++){
        Pr[i][j] = Pr[Pr[i][j-1]][j-1];
    }
    for(auto j:adj[i]){
        if(j==pr)continue;
        init(j,i);
    }
}
long long fast(long long a,long long b){
    if(b==0)return 1;
    long long h = fast(a,b/2);h*=h;h%=l;
    if(b&1)return (h*a)%l;
    else return h;
}
int lca(int a,int b){
    int sum = dep[a]+dep[b];
    if(dep[a]<dep[b])swap(a,b);
    for(int j = 18;j>=0;j--){
        if(dep[Pr[a][j]]>=dep[b])a = Pr[a][j];
    } 
    if(a==b){
        return sum-2*dep[a];
    }
    for(int j = 18;j>=0;j--){
        if(Pr[a][j]!=Pr[b][j]){
            a = Pr[a][j];
            b = Pr[b][j];
        }
    }
    return sum-2*dep[Pr[a][0]];
}
signed main(){
    ios_base::sync_with_stdio(0);cin.tie(0);
    //freopen("input.txt","r",stdin);
    //freopen("outout.txt","w",stdout);
    cin>>n>>l;
    for(int i = 0;i<n-1;i++){
        int a,b;cin>>a>>b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    for(int i = 1;i<=n;i++){
        cin>>h[i];
    }
    //cout<<"hhh"<<endl;
    init(1,1);
    //cout<<"hhh"<<endl;
    centroid(1,-1);
    for(int i = 1;i<=n;i++){
        for(int j = 0;j<=40;j++)dp[i][j] = 1;
        if(i<=cnt){
            for(int j = 0;j<=40;j++)lo[i-1][j] = 1;
        }
    }
    //cout<<"hhh"<<endl;
    int q;cin>>q;
    while(q--){
        int ty;cin>>ty;
        if(ty==1){
            int x,d,v;
            cin>>x>>d>>v;
            int org = x;
            for(int j = 0;j<=d;j++)dp[x][j]++;
            while(P[x]!=-1){
                x = P[x];
                int w = mp[x][org];
                int id = getIndex[{x,w}];
                int le = lca(x,org);
                if(le<=d){
                    for(int j = 0;j<=d-le;j++){
                        lo[id][j]*=v;lo[id][j]%=l;
                        dp[x][j]*=v;dp[x][j]%=l;
                    }
                }
            }
        }else{
            int x;cin>>x;
            long long all = (h[x]*dp[x][0])%l;
            int org = x;
            while(P[x]!=-1){
                x = P[x];
                int w = mp[x][org];
                int id = getIndex[{x,w}];
                int le = lca(x,org);
                all*=dp[x][le];all%=l;
                all*=fast(lo[id][le],l-2);all%=l;
            }
            cout<<all<<endl;
        }
    }
}

• Subtask 1: 0 / 3
• Subtask 2: 0 / 9
• Subtask 3: 0 / 29
• Subtask 4: 0 / 12
• Subtask 5: 0 / 30
• Subtask 6: 0 / 17