結果

問題 No.1315 渦巻洞穴
ユーザー milanis48663220
提出日時 2020-12-12 22:18:10
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 6 ms / 2,000 ms
コード長 4,820 bytes
コンパイル時間 1,360 ms
コンパイル使用メモリ 110,112 KB
最終ジャッジ日時 2025-01-16 23:05:36
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 79
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cassert>
#include <cmath>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

struct point{
    ll x, y;
};

const double eps = 0.01;
void validate(string s);

ll right_up(ll k){ return (2*k-1)*(2*k-1)+(2*k); }
ll left_up(ll k){ return (2*k)*(2*k)+1; }
ll left_bottom(ll k){ return (2*k)*(2*k)+2*k+1; }
ll right_bottom(ll k){ return (2*k+1)*(2*k+1); }

ll sqrt_ll(ll n){
    ll ans = (ll)(sqrt(n)+eps);
    if(ans*ans > n) ans--;
    return ans;
}

ll to_cycle(ll n){
    ll s = sqrt_ll(n);
    if(s%2 == 0) s--;
    if(s*s == n){
        return (s+1)/2-1;
    }
    return (s+3)/2-1;
}

point to_cood(ll n){
    ll k = to_cycle(n);
    ll x = -1, y = -1;
    if(n <= right_up(k)){
        x = k, y = k-(right_up(k)-n);
    }else if(n <= left_up(k)){
        x = -k+(left_up(k)-n), y = k;
    }else if(n <= left_bottom(k)){
        x = -k, y = -k+(left_bottom(k)-n);
    }else{
        x = k-(right_bottom(k)-n), y = -k;
    }
    return (point){x, y};
}

ll to_number(point p){
    ll k = max(abs(p.x), abs(p.y));
    if(p.x == k){
        return right_up(k)-(k-p.y);
    }else if(p.y == k){
        return left_up(k)-(p.x+k);
    }else if(p.x == -k){
        return left_bottom(k)-(p.y+k);
    }else{
        return right_bottom(k)-(k-p.x);        
    }
}

ll dist(point p1, point p2){
    return abs(p1.x-p2.x)+abs(p1.y-p2.y);
}

ll s, t;
ll x, y;
ll sx, sy, tx, ty;

vector<ll> vx, vy;

void go_up(){
    y++;
    vx.push_back(x);
    vy.push_back(y);
}

void go_down(){
    y--;
    vx.push_back(x);
    vy.push_back(y);
}

void go_left(){
    x--;
    vx.push_back(x);
    vy.push_back(y);
}

void go_right(){
    x++;
    vx.push_back(x);
    vy.push_back(y);
}

void solve_odd(){
    while(x != tx){
        if(x < tx) go_right();
        else go_left();
    }
    while(y != ty){
        if(y < ty) go_up();
        else go_down();
    }
    ll sz = vx.size();
    string ans;
    for(ll i = 0; i < sz-1; i++){
        if(i%2 == 0){
            if(vx[i+1] == vx[i]+1) ans += "RLR";
            if(vx[i+1] == vx[i]-1) ans += "LRL";
            if(vy[i+1] == vy[i]+1) ans += "UDU";
            if(vy[i+1] == vy[i]-1) ans += "DUD";
        }else{
            if(vx[i+1] == vx[i]+1) ans += "R";
            if(vx[i+1] == vx[i]-1) ans += "L";
            if(vy[i+1] == vy[i]+1) ans += "U";
            if(vy[i+1] == vy[i]-1) ans += "D";
        }
    }
    assert(ans.size() <= 200000); 
    cout << 0 << endl;
    cout << ans.size() << endl;
    cout << ans << endl;
    validate(ans);
}


void solve_even(){
    ll u = s^t;
    auto pu = to_cood(u);
    ll ux = pu.x, uy = pu.y;
    while(x != ux){
        if(x < ux) go_right();
        else go_left();
    }
    while(y != uy){
        if(y < uy) go_up();
        else go_down();
    }
    while(x != tx){
        if(x < tx) go_right();
        else go_left();
    }
    while(y != ty){
        if(y < ty) go_up();
        else go_down();
    }
    ll sz = vx.size();
    ll i = 0;
    string ans;
    for(ll j = 0; j < sz-1; j++){
        if(i%2 == 1){
            if(vx[j+1] == vx[j]+1) ans += "RLR";
            if(vx[j+1] == vx[j]-1) ans += "LRL";
            if(vy[j+1] == vy[j]+1) ans += "UDU";
            if(vy[j+1] == vy[j]-1) ans += "DUD";
        }else{
            if(vx[j+1] == vx[j]+1) ans += "R";
            if(vx[j+1] == vx[j]-1) ans += "L";
            if(vy[j+1] == vy[j]+1) ans += "U";
            if(vy[j+1] == vy[j]-1) ans += "D";
        }
        if(vx[j+1] != ux || vy[j+1] != uy) i++;
    }
    assert(ans.size() <= 200000); 
    cout << 0 << endl;
    cout << ans.size() << endl;
    cout << ans << endl;
    validate(ans);
}

void validate(string d){
    auto ps = to_cood(s);
    int x = ps.x, y = ps.y;
    int ans = to_number((point){x, y});
    for(char c : d){
        if(c == 'U') y++;
        if(c == 'D') y--;
        if(c == 'L') x--;
        if(c == 'R') x++;
        ans ^= to_number((point){x, y});
    }
    // assert(ans == 0);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    cin >> s >> t;
    auto ps = to_cood(s);
    auto pt = to_cood(t);
    x = ps.x, y = ps.y;
    sx = ps.x, sy = ps.y;
    tx = pt.x, ty = pt.y;
    vx.push_back(sx);
    vy.push_back(sy);
    if(dist(ps, pt)%2 == 0){
        solve_even();
    }else{
        solve_odd();
    }
}
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