Submission #1016768

#	Time	Username	Problem	Language	Result	Execution time	Memory
1016768		JakobZorz	Dungeons Game (IOI21_dungeons)	C++17	100 / 100	2141 ms	1083388 KiB

dungeons

#include"dungeons.h"
#include<vector>
#include<iostream>
typedef long long ll;
using namespace std;
 
int n;
 
struct Dungeon{
    vector<int>nxt1; // win
    vector<int>nxt2; // lose
    vector<int>st1;  // strength
    vector<int>st2;  // gain on losing
    vector<vector<int>>jmp; // where to jump?
    vector<vector<ll>>gain; // strength gain of that jump
    vector<vector<int>>win;  // strength requirement to win in that jump
    int pw;
    ll thres=0;
    
    Dungeon(int n):nxt1(n),nxt2(n),st1(n),st2(n){}
    Dungeon()=default;
    
    void setup(){
        jmp=vector<vector<int>>((pw+1)/2,vector<int>(n+1));
        gain=vector<vector<ll>>((pw+1)/2,vector<ll>(n+1));
        win=vector<vector<int>>((pw+1)/2,vector<int>(n+1));
        for(int p=0;p<pw;p++)
            jmp[p/2][n]=n;
        
        for(int i=0;i<n;i++){
            jmp[0][i]=nxt2[i];
            gain[0][i]=st2[i];
            win[0][i]=st1[i];
        }
            
        for(int p=1;p<pw;p++){
            for(int i=0;i<n;i++){
                gain[p/2][i]=gain[(p-1)/2][i]+gain[(p-1)/2][jmp[(p-1)/2][i]];
                if(win[(p-1)/2][jmp[(p-1)/2][i]]==1e9)
                    win[p/2][i]=win[(p-1)/2][i];
                else
                    win[p/2][i]=max(0LL,min(1LL*win[(p-1)/2][i],1LL*win[(p-1)/2][jmp[(p-1)/2][i]]-gain[(p-1)/2][i]));
            }
            
            for(int i=0;i<n;i++)
                jmp[p/2][i]=jmp[(p-1)/2][jmp[(p-1)/2][i]];
        }
    }
    
    // simulate until it either reaches n-th node, wins, or strength>=thres
    pair<int,ll>simulate(int x,ll st){
        for(int p=(pw-1)/2;p>=0;p--){
            while(jmp[p][x]!=n&&(1LL*win[p][x]>st||win[p][x]==1e9)&&st+gain[p][x]<thres){
                st+=gain[p][x];
                x=jmp[p][x];
            }
        }
        while(x!=n&&st<thres){
            // do 1 more jump
            if(st>=st1[x]&&st1[x]!=1e9){
                st+=st1[x];
                x=nxt1[x];
                break;
            }else{
                st+=st2[x];
                x=nxt2[x];
            }
        }
        return{x,st};
    }
};
 
Dungeon dun[25];
vector<int>s,p,w,l;

void init(int N,vector<int>S,vector<int>P,vector<int>W,vector<int>L){
    s=S;
    p=P;
    w=W;
    l=L;
    n=N;
    
    for(int pw=0;pw<25;pw++){
        dun[pw]=Dungeon(n);
        dun[pw].thres=2LL<<pw;
        dun[pw].pw=pw+1;
        for(int i=0;i<n;i++){
            if(s[i]<=1<<pw){
                dun[pw].nxt1[i]=0;
                dun[pw].nxt2[i]=w[i];
                dun[pw].st1[i]=1e9;
                dun[pw].st2[i]=s[i];
            }else if(s[i]>=2<<pw){
                dun[pw].nxt1[i]=0;
                dun[pw].nxt2[i]=l[i];
                dun[pw].st1[i]=1e9;
                dun[pw].st2[i]=p[i];
            }else{
                dun[pw].nxt1[i]=w[i];
                dun[pw].nxt2[i]=l[i];
                dun[pw].st1[i]=s[i];
                dun[pw].st2[i]=p[i];
            }
        }
    }
    dun[24].thres=1e18;
    for(int pw=9;pw<25;pw++)
        dun[pw].setup();
}
 
ll simulate(int x,int z){
    ll st=z;
    while(x!=n&&st<(1<<9)){
        // do 1 more jump
        if(st>=s[x]&&s[x]!=1e9){
            st+=s[x];
            x=w[x];
        }else{
            st+=p[x];
            x=l[x];
        }
    }
    
    for(int p=9;p<25;p++){
        while(x!=n&&st<2LL<<p){
            auto r=dun[p].simulate(x,st);
            x=r.first;
            st=r.second;
        }
    }
    
    return st;
}

• Subtask 1: 11 / 11
• Subtask 2: 26 / 26
• Subtask 3: 13 / 13
• Subtask 4: 12 / 12
• Subtask 5: 27 / 27
• Subtask 6: 11 / 11