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답안 #501341

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
501341 2022-01-02T20:18:27 Z Newtech66 밀림 점프 (APIO21_jumps) C++17
16 / 100
 2690 ms 66104 KB 
//#include "jumps.h"

#include <bits/stdc++.h>
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n;
vector<array<int,20> > pg,ng,hh,mxhh; //prev greater,next greater,highest height,max index reached while taking highest height jumps
//note: mxhh is -1 is jump is invalid, and answer otherwise
vector<int> Hq;

int pgq(int st,int x)
{
    while(x>0 && st>-1)
    {
        st=pg[st][__builtin_ctz(x)];
        x^=x&(-x);
    }
    return st;
}

int ngq(int st,int x)
{
    while(x>0 && st>-1)
    {
        st=ng[st][__builtin_ctz(x)];
        x^=x&(-x);
    }
    return st;
}

int hhq(int st,int x)
{
    while(x>0 && st>-1)
    {
        st=hh[st][__builtin_ctz(x)];
        x^=x&(-x);
    }
    return st;
}

int mxhhq(int st,int x)
{
    if(hhq(st,x)==-1)   return -1;
    int res=st;
    while(x>0)
    {
        res=max(res,mxhh[st][__builtin_ctz(x)]);
        st=hh[st][__builtin_ctz(x)];
        x^=x&(-x);
    }
    return res;
}

void init(int N, std::vector<int> H) {
    n=N;
    Hq=H;
    pg.resize(N),ng.resize(N),hh.resize(N),mxhh.resize(N);
    stack<int> st;
    pg[0][0]=-1;
    st.push(0);
    for(int i=1;i<N;i++)
    {
        while(!st.empty() && H[st.top()]<H[i])  st.pop();
        if(st.empty())  pg[i][0]=-1;
        else    pg[i][0]=st.top();
        st.push(i);
    }
    while(!st.empty())  st.pop();
    ng[N-1][0]=-1;
    st.push(N-1);
    for(int i=N-2;i>=0;i--)
    {
        while(!st.empty() && H[st.top()]<H[i])  st.pop();
        if(st.empty())  ng[i][0]=-1;
        else    ng[i][0]=st.top();
        st.push(i);
    }
    for(int i=0;i<N;i++)
    {
        int mx=-1,posmx=-1;
        if(pg[i][0]>-1 && H[pg[i][0]]>mx)   mx=H[pg[i][0]],posmx=pg[i][0];
        if(ng[i][0]>-1 && H[ng[i][0]]>mx)   mx=H[ng[i][0]],posmx=ng[i][0];
        hh[i][0]=mxhh[i][0]=posmx;
        if(posmx>-1)    mxhh[i][0]=max(i,posmx);
    }
    for(int j=1;j<20;j++)
    {
        for(int i=0;i<N;i++)
        {
            pg[i][j]=ng[i][j]=hh[i][j]=mxhh[i][j]=-1;
            if(pg[i][j-1]>-1)   pg[i][j]=pg[pg[i][j-1]][j-1];
            if(ng[i][j-1]>-1)   ng[i][j]=ng[ng[i][j-1]][j-1];
            if(hh[i][j-1]>-1)   hh[i][j]=hh[hh[i][j-1]][j-1];
            if(hh[i][j]>-1) mxhh[i][j]=max(mxhh[i][j-1],mxhh[mxhh[i][j-1]][j-1]);
        }
    }
}

int minimum_jumps(int A, int B, int C, int D) {
    int l,r,mid,ans; //remember to reset this before each binary search
    int cnt=n;
    l=0,r=n-1,ans=-1;
    while(l<=r)
    {
        mid=l+(r-l)/2;
        int pos=ngq(C,mid);
        if(pos==-1 || pos>D)    r=mid-1;
        else
        {
            ans=mid;
            l=mid+1;
        }
    }
    int mxCD=Hq[ngq(C,ans)];
    //cout<<mxCD<<endl;
    l=0,r=n-1,ans=-1;
    while(l<=r)
    {
        mid=l+(r-l)/2;
        int pos=pgq(B,mid);
        if(pos==-1 || pos<A || Hq[pos]>mxCD)    r=mid-1;
        else
        {
            ans=mid;
            l=mid+1;
        }
    }
    if(ans>-1)
    {
        //cout<<"Case 2: ";
        int tmp=0;
        int posAB=pgq(B,ans);
        l=0,r=n-1,ans=-1;
        while(l<=r)
        {
            mid=l+(r-l)/2;
            int mxpos=mxhhq(posAB,mid),pos=hhq(posAB,mid);
            if((pos==-1 && mxpos!=-1) || (pos!=-1 && mxpos==-1))    exit(1);
            if(mxpos==-1 || mxpos>D || Hq[pos]>mxCD)    r=mid-1;
            else
            {
                if(mxpos>=C)    ans=mid,r=mid-1;
                else
                {
                    int nxtpos=ng[pos][0];
                    if(nxtpos>=C && nxtpos<=D)  ans=mid,r=mid-1;
                    else
                    {
                        if(nxtpos==-1)  r=mid-1;
                        else
                        {
                            if(nxtpos<C)    ans=mid,l=mid+1;
                            else    r=mid-1;
                        }
                    }
                }
            }
        }
        tmp+=ans;
        //cout<<tmp<<endl;
        int cpos=hhq(posAB,ans);
        l=0,r=n-1,ans=0;
        while(l<=r)
        {
            mid=l+(r-l)/2;
            int pos=ngq(cpos,mid);
            if(pos==-1 || pos>D)    r=mid-1;
            else
            {
                if(pos<C)   l=mid+1;
                else
                {
                    ans=mid;
                    r=mid-1;
                }
            }
        }
        tmp+=ans;
        int fpos=ngq(cpos,ans);
        //cout<<posAB<<" "<<cpos<<" "<<fpos<<" "<<tmp<<endl;
        if(fpos>=C && fpos<=D)    cnt=min(tmp,cnt);
    }
    return ((cnt==n)?-1:cnt);
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 0 ms 200 KB Output is correct
3 Correct 343 ms 52660 KB Output is correct
4 Correct 2690 ms 66092 KB Output is correct
5 Correct 1792 ms 33344 KB Output is correct
6 Correct 2332 ms 66068 KB Output is correct
7 Correct 1662 ms 45204 KB Output is correct
8 Correct 2349 ms 66104 KB Output is correct

Subtask #2
0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 0 ms 200 KB Output is correct
4 Correct 0 ms 200 KB Output is correct
5 Correct 2 ms 200 KB Output is correct
6 Correct 4 ms 264 KB Output is correct
7 Correct 2 ms 328 KB Output is correct
8 Correct 3 ms 328 KB Output is correct
9 Correct 1 ms 328 KB Output is correct
10 Correct 2 ms 328 KB Output is correct
11 Correct 2 ms 328 KB Output is correct
12 Correct 3 ms 328 KB Output is correct
13 Correct 2 ms 328 KB Output is correct
14 Correct 3 ms 328 KB Output is correct
15 Incorrect 2 ms 328 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #3
0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 0 ms 200 KB Output is correct
4 Correct 0 ms 200 KB Output is correct
5 Correct 2 ms 200 KB Output is correct
6 Correct 4 ms 264 KB Output is correct
7 Correct 2 ms 328 KB Output is correct
8 Correct 3 ms 328 KB Output is correct
9 Correct 1 ms 328 KB Output is correct
10 Correct 2 ms 328 KB Output is correct
11 Correct 2 ms 328 KB Output is correct
12 Correct 3 ms 328 KB Output is correct
13 Correct 2 ms 328 KB Output is correct
14 Correct 3 ms 328 KB Output is correct
15 Incorrect 2 ms 328 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #4
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 0 ms 200 KB Output is correct
3 Correct 0 ms 200 KB Output is correct
4 Correct 0 ms 200 KB Output is correct
5 Correct 120 ms 52500 KB Output is correct
6 Correct 136 ms 65172 KB Output is correct
7 Correct 70 ms 33468 KB Output is correct
8 Correct 134 ms 65252 KB Output is correct
9 Correct 18 ms 10092 KB Output is correct
10 Correct 135 ms 65360 KB Output is correct
11 Correct 146 ms 66100 KB Output is correct
12 Correct 130 ms 65940 KB Output is correct
13 Correct 148 ms 65856 KB Output is correct
14 Correct 131 ms 65272 KB Output is correct
15 Correct 160 ms 65632 KB Output is correct
16 Correct 140 ms 65984 KB Output is correct
17 Correct 137 ms 66032 KB Output is correct
18 Correct 0 ms 200 KB Output is correct
19 Correct 0 ms 328 KB Output is correct
20 Correct 0 ms 328 KB Output is correct
21 Correct 1 ms 328 KB Output is correct
22 Correct 0 ms 328 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 0 ms 328 KB Output is correct
25 Correct 0 ms 328 KB Output is correct
26 Correct 1 ms 584 KB Output is correct
27 Correct 1 ms 968 KB Output is correct
28 Correct 1 ms 968 KB Output is correct
29 Correct 1 ms 968 KB Output is correct
30 Correct 1 ms 976 KB Output is correct
31 Correct 1 ms 968 KB Output is correct
32 Correct 0 ms 200 KB Output is correct
33 Correct 138 ms 65044 KB Output is correct
34 Correct 134 ms 65196 KB Output is correct
35 Correct 134 ms 65848 KB Output is correct
36 Correct 150 ms 65268 KB Output is correct
37 Correct 167 ms 65692 KB Output is correct
38 Correct 136 ms 66100 KB Output is correct
39 Correct 0 ms 200 KB Output is correct
40 Correct 79 ms 37868 KB Output is correct
41 Correct 137 ms 65180 KB Output is correct
42 Correct 133 ms 66060 KB Output is correct
43 Correct 137 ms 65176 KB Output is correct
44 Correct 169 ms 65676 KB Output is correct
45 Correct 130 ms 66092 KB Output is correct

Subtask #5
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 0 ms 200 KB Output is correct
3 Correct 0 ms 200 KB Output is correct
4 Incorrect 312 ms 29900 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #6
0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 0 ms 200 KB Output is correct
3 Correct 0 ms 200 KB Output is correct
4 Incorrect 312 ms 29900 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 200 KB Output is correct
2 Correct 0 ms 200 KB Output is correct
3 Correct 343 ms 52660 KB Output is correct
4 Correct 2690 ms 66092 KB Output is correct
5 Correct 1792 ms 33344 KB Output is correct
6 Correct 2332 ms 66068 KB Output is correct
7 Correct 1662 ms 45204 KB Output is correct
8 Correct 2349 ms 66104 KB Output is correct
9 Correct 0 ms 200 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 0 ms 200 KB Output is correct
12 Correct 0 ms 200 KB Output is correct
13 Correct 2 ms 200 KB Output is correct
14 Correct 4 ms 264 KB Output is correct
15 Correct 2 ms 328 KB Output is correct
16 Correct 3 ms 328 KB Output is correct
17 Correct 1 ms 328 KB Output is correct
18 Correct 2 ms 328 KB Output is correct
19 Correct 2 ms 328 KB Output is correct
20 Correct 3 ms 328 KB Output is correct
21 Correct 2 ms 328 KB Output is correct
22 Correct 3 ms 328 KB Output is correct
23 Incorrect 2 ms 328 KB Output isn't correct
24 Halted 0 ms 0 KB -