제출 #441613

#제출 시각아이디문제언어결과실행 시간메모리
441613Haruto810198Worm Worries (BOI18_worm)C++17
100 / 100
1661 ms992624 KiB
#include <bits/stdc++.h>

using namespace std;

#define int long long
#define double long double

#define FOR(i, l, r, d) for(int i=(l); i<=(r); i+=(d))
#define szof(x) ((int)(x).size())

#define vi vector<int>
#define pii pair<int,int>

#define F first
#define S second

#define pb push_back
#define eb emplace_back
#define mkp make_pair

const int INF = 2147483647;
const int LNF = INF*INF;
const int MOD = 1000000007;
const int mod = 998244353;
const double phi = (sqrt(5) + 1) / 2.0;

//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")

int X, Y, Z;
int Q;

vector<vector<vi>> arr;

int gMax;
int gMax_x, gMax_y, gMax_z;

int query(int x, int y, int z){

    int ret;

    if(x<=0 or x>=X+1 or y<=0 or y>=Y+1 or z<=0 or z>=Z+1){
        return 0;
    }

    if(arr[x][y][z] == 0){
        cout<<"? "<<x<<" "<<y<<" "<<z<<endl;
        cin>>ret;
        arr[x][y][z] = ret;
    }
    else{
        ret = arr[x][y][z];
    }

    if(ret > gMax){
        gMax = ret;
        gMax_x = x;
        gMax_y = y;
        gMax_z = z;
    }

    return ret;

}

int solve_1D(int L, int R, int mid){

    //cerr<<"solve("<<L<<", "<<R<<", "<<mid<<") "<<endl;

    if(L == R) return L;

    int ml = L + floor((R-L) * (2-phi));
    int mr = R - floor((R-L) * (2-phi));

    //assert(ml <= mr);

    if( mid*2 < L+R ){
        ml = mid;
    }
    else{
        mr = mid;
    }

    //assert(ml <= mr);

    int vl = query(ml, 1, 1);
    int vr = query(mr, 1, 1);

    if(vl > vr){
        return solve_1D(L, mr - 1, ml);
    }
    else{
        return solve_1D(ml + 1, R, mr);
    }

}

int dx[6] = {1, -1, 0, 0, 0, 0};
int dy[6] = {0, 0, 1, -1, 0, 0};
int dz[6] = {0, 0, 0, 0, 1, -1};

bool isMax(int x, int y, int z){

    bool ret = 1;

    FOR(i, 0, 5, 1){
        if( query(x, y, z) < query(x+dx[i], y+dy[i], z+dz[i]) ){
            ret = 0;
        }
    }

    return ret;

}

pii solve_2D(int xL, int xR, int yL, int yR){

    //cerr<<"solve("<<xL<<", "<<xR<<", "<<yL<<", "<<yR<<")"<<endl;

    assert(xL<=gMax_x and gMax_x<=xR and yL<=gMax_y and gMax_y<=yR);

    if(xR-xL<=1 and yR-yL<=1){
        FOR(i, xL, xR, 1){
            FOR(j, yL, yR, 1){
                if(isMax(i, j, 1)){
                    return mkp(i, j);
                }
            }
        }
    }

    if(xR-xL > yR-yL){ /// cut x

        int xmid = (xL + xR) / 2;

        FOR(i, yL, yR, 1){
            query(xmid, i, 1);
        }
        query(xmid-1, gMax_y, 1);
        query(xmid+1, gMax_y, 1);

        if(gMax_x == xmid){
            return mkp(xmid, gMax_y);
        }
        else if(gMax_x < xmid){
            return solve_2D(xL, xmid-1, yL, yR);
        }
        else{
            return solve_2D(xmid+1, xR, yL, yR);
        }

    }
    else{ /// cut y

        int ymid = (yL + yR) / 2;

        FOR(i, xL, xR, 1){
            query(i, ymid, 1);
        }

        query(gMax_x, ymid-1, 1);
        query(gMax_x, ymid+1, 1);

        if(gMax_y == ymid){
            return mkp(gMax_x, ymid);
        }
        else if(gMax_y < ymid){
            return solve_2D(xL, xR, yL, ymid-1);
        }
        else{
            return solve_2D(xL, xR, ymid+1, yR);
        }

    }

}

int randll(int r){
    int a = rand();
    int b = rand();
    int c = rand();
    int d = rand();
    return ((a<<36) ^ (b<<24) ^ (c<<12) ^ d) % r;
}

pair<pii,int> solve_3D(){

    int pick = Q/2;

    FOR(i, 1, pick, 1){
        int x = randll(X) + 1;
        int y = randll(Y) + 1;
        int z = randll(Z) + 1;
        query(x, y, z);
    }

    int px = gMax_x, py = gMax_y, pz = gMax_z;
    while(!isMax(px, py, pz)){
        px = gMax_x, py = gMax_y, pz = gMax_z;
    }

    return mkp(mkp(px, py), pz);

}

signed main(){

    //ios_base::sync_with_stdio(false);
    //cin.tie(0);
    //cout.tie(0);

    cin>>X>>Y>>Z>>Q;

    arr.resize(X + 1);
    for(auto& i : arr){
        i.resize(Y + 1);
        for(auto& j : i){
            j.resize(Z + 1);
        }
    }

    gMax = -INF;
    gMax_x = 1;
    gMax_y = 1;
    gMax_z = 1;

    if(Y==1 and Z==1){
        int res = solve_1D(1, X, 1 + (X-1)*(phi-1));
        cout<<"! "<<res<<" 1 1"<<endl;
    }
    else if(Z==1){
        pii res = solve_2D(1, X, 1, Y);
        cout<<"! "<<res.F<<" "<<res.S<<" 1"<<endl;
    }
    else{
        auto res = solve_3D();
        cout<<"! "<<res.F.F<<" "<<res.F.S<<" "<<res.S<<endl;
    }

    return 0;

}
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