Hướng dẫn giải của VOI 12 Bài 5 - Robocon


Chỉ dùng lời giải này khi không có ý tưởng, và đừng copy-paste code từ lời giải này. Hãy tôn trọng người ra đề và người viết lời giải.
Nộp một lời giải chính thức trước khi tự giải là một hành động có thể bị ban.

Lưu ý: Các code mẫu dưới đây chỉ mang tính tham khảo và có thể không AC được bài tập này

Code mẫu của flashmt

#include <iostream>
#include <algorithm>
#include <cstdio>
using namespace std;

char a[505][505],f[2][2][505][1010];
int n,ans=2000;

int main()
{
    int k,x,y,z=0;
    cin >> n >> k;
    while (k--) scanf("%d%d",&x,&y), a[x][y]=1;

    for (int i=1;i<=n && !a[1][i];i++) f[0][0][i][i-1]=1;
    for (int i=n;i && !a[1][i];i--) f[1][0][i][n-i]=1;

    for (int i=2;i<=n && i-1<ans;i++)
    {
        z^=1;
        for (int j=1;j<=n;j++)
            for (int k=0;k<=i*2;k++)
                f[0][z][j][k]=f[1][z][j][k]=0;

        for (int j=1;j<=n;j++)
            if (!a[i][j])
                for (int k=i-1;k<ans && k<=i+j-2;k++)
                    f[0][z][j][k]=f[0][1-z][j-1][k-1] | f[0][1-z][j][k-1] | f[0][z][j-1][k-1];

        for (int j=n;j;j--)
            if (!a[i][j])
                for (int k=i-1;k<ans && k<=i-1+n-j;k++)
                {
                    f[1][z][j][k]=f[1][1-z][j+1][k-1] | f[1][1-z][j][k-1] | f[1][z][j+1][k-1];
                    if (f[1][z][j][k] && f[0][z][j][k]) ans=k;
                }
    }

    cout << ans << endl;
}

Code mẫu của ladpro98

#include <cstring>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <memory.h>
#include <cassert>
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define REP(i, a, b) for(int i = (a); i <=(b); i++)
#define FORD(i, a, b) for(int i = (a); i > (b); i--)
#define REPD(i, a, b) for(int i = (a); i >=(b); i--)
#define SZ(a) (int((a).size()))
#define ALL(a) (a).begin(), (a).end()
#define PB push_back
#define MP make_pair
#define LL long long
#define LD long double
#define II pair<int, int>
#define X first
#define Y second
#define VI vector<int>
const int N = 505;
const int NN = 15 * N * N;
const int dx1[] = {0, 1, 1};
const int dy1[] = {1, 1, 0};
const int dx2[] = {0, 1, 1};
const int dy2[] = {-1, -1, 0};

using namespace std;
II Q1[NN], Q2[NN];
bool block[N][N], was1[N][N], was2[N][N];
int n, k, l1, r1, l2, r2;

bool out(II u)
    {return u.X < 1 || u.Y < 1 || u.X > n || u.Y > n || block[u.X][u.Y];}

void bfs1() {
    int tmp = r1;
    while (l1 <= r1) {
        II u = Q1[l1++];
        FOR(i, 0, 3) {
            II v (u.X + dx1[i], u.Y + dy1[i]);
            if (out(v)) continue;
            if (!was1[v.X][v.Y]) {
                was1[v.X][v.Y] = 1;
                Q1[++tmp] = v;
            }
        }
    }
    r1 = tmp;
}


bool bfs2() {
    int tmp = r2;
    while (l2 <= r2) {
        II u = Q2[l2++];
        FOR(i, 0, 3) {
            II v (u.X + dx2[i], u.Y + dy2[i]);
            if (out(v)) continue;
            if (was1[v.X][v.Y]) return true;
            if (!was2[v.X][v.Y]) {
                was2[v.X][v.Y] = 1;
                Q2[++tmp] = v;
            }
        }
    }
    r2 = tmp;
    return false;
}


int main() {
    ios :: sync_with_stdio(0); cin.tie(0);
    cin >> n >> k;
    int u, v;
    FOR(i, 0, k) {
        cin >> u >> v;
        block[u][v] = 1;
    }
    l1 = r1 = 1; Q1[1] = II(1, 1);
    l2 = r2 = 1; Q2[1] = II(1, n);
    FOR(step, 1, n * n) {
        bfs1();
        if (bfs2()) {cout << step; break;}
        REP(i, l1, r1) was1[Q1[i].X][Q1[i].Y] = 0;
        REP(i, l2, r2) was2[Q2[i].X][Q2[i].Y] = 0;
    }
    return 0;
}

Code mẫu của RR

#include <sstream>
#include <iomanip>
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <string>
#include <deque>
#include <complex>

#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; i++)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; i--)
#define REP(i,a) for(int i=0,_a=(a); i<_a; i++)
#define FORN(i,a,b) for(int i=(a),_b=(b);i<_b;i++)
#define DOWN(i,a,b) for(int i=a,_b=(b);i>=_b;i--)
#define SET(a,v) memset(a,v,sizeof(a))
#define sqr(x) ((x)*(x))
#define ll long long
#define F first
#define S second
#define PB push_back
#define MP make_pair

#define DEBUG(x) cout << #x << " = "; cout << x << endl;
#define PR(a,n) cout << #a << " = "; FOR(_,1,n) cout << a[_] << ' '; cout << endl;
#define PR0(a,n) cout << #a << " = "; REP(_,n) cout << a[_] << ' '; cout << endl;
using namespace std;

//Buffer reading
int INP,AM,REACHEOF;
#define BUFSIZE (1<<12)
char BUF[BUFSIZE+1], *inp=BUF;
#define GETCHAR(INP) { \
    if(!*inp) { \
        if (REACHEOF) return 0;\
        memset(BUF,0,sizeof BUF);\
        int inpzzz = fread(BUF,1,BUFSIZE,stdin);\
        if (inpzzz != BUFSIZE) REACHEOF = true;\
        inp=BUF; \
    } \
    INP=*inp++; \
}
#define DIG(a) (((a)>='0')&&((a)<='9'))
#define GN(j) { \
    AM=0;\
    GETCHAR(INP); while(!DIG(INP) && INP!='-') GETCHAR(INP);\
    if (INP=='-') {AM=1;GETCHAR(INP);} \
    j=INP-'0'; GETCHAR(INP); \
    while(DIG(INP)){j=10*j+(INP-'0');GETCHAR(INP);} \
    if (AM) j=-j;\
}
//End of buffer reading

const long double PI = acos((long double) -1.0);

int n, a[511][511];
pair<int,int> qu[2][2][511*511];
int top[2][2];
bool mark[2][2][511][511];

const int di[2][3] = {{0,1,1}, {0,1,1}};
const int dj[2][3] = {{1,0,1}, {-1,0,-1}};

bool ok(pair<int,int> v) {
    return v.F > 0 && v.F <= n && v.S > 0 && v.S <= n && a[v.F][v.S] == 0;
}

int main() {
    int k;
    scanf("%d%d", &n, &k);
    while (k--) {
        int u, v; scanf("%d%d", &u, &v);
        a[u][v] = 1;
    }
    if (n == 1) {
        puts("0");
        return 0;
    }
    // queue(turn, robot, id)
    top[0][0] = 1; qu[0][0][1] = MP(1,1);
    top[0][1] = 1; qu[0][1][1] = MP(1,n);
    int cur = 0;

    FOR(time,1,n+n) {
        cur = 1 - cur;
        memset(mark[cur], 0, sizeof mark[cur]);
        REP(robot,2) {
            top[cur][robot] = 0;
            pair<int,int> u, v;

            FOR(i,1,top[1-cur][robot]) {
                u = qu[1-cur][robot][i];
                REP(dir,3) {
                    v = MP(u.F + di[robot][dir], u.S + dj[robot][dir]);
                    if (!ok(v)) continue;
                    if (!mark[cur][robot][v.F][v.S]) {
                        mark[cur][robot][v.F][v.S] = true;
                        qu[cur][robot][++top[cur][robot]] = v;
                    }
                }
            }
        }

        bool ok = false;
        FOR(i,1,top[cur][0]) {
            pair<int,int> u = qu[cur][0][i];
            if (mark[cur][0][u.F][u.S] && mark[cur][1][u.F][u.S]) {
                ok = true;
                break;
            }
        }
        if (ok) {
            printf("%d\n", time);
            return 0;
        }
    }
    return 0;
}

Code mẫu của hieult

#include<cstdio>
#include<cmath>
#include<math.h>
#include<cstring>
#include<cstdlib>
#include<cassert>
#include<ctime>
#include<algorithm>
#include<iterator>
#include<iostream>
#include<cctype>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<queue>
#include<list>
#define ep 0.00001
#define maxn 1030
#define oo 2000000001
#define modunlo 111539786
#define TR(c, it) for(typeof((c).begin()) it=(c).begin(); it!=(c).end(); it++)
#define fi first
#define se second
//#define g 9.81
double const PI=4*atan(1.0);

using namespace std;

typedef pair<int, int> II;
typedef vector<int> VI;
typedef vector<II> VII;
typedef vector<VI> VVI;
typedef vector<VII> VVII;

bool a[505][505] = {0},f[2][505][500] = {0},g[2][505][505] = {0};
int n,k,u,v;

int main(){

    //freopen("input.in","r",stdin);
    //freopen("output.out","w",stdout);
    scanf("%d %d",&n,&k);

    for(int ik = 0; ik < k; ik++){
        scanf("%d %d",&u,&v);
        a[u][v] = 1;
    }

    if(n == 1){
        printf("0");
        return 0;
    }

    g[0][1][0] = 1;
    g[1][n][0] = 1;
    int MIN = oo;

    for(int i = 1; i <= n; i++){
        memset(g,0,sizeof(g));
        for(int j = 1; j <= n; j++){
            if(i == 1 && j == 1) g[0][1][0] = 1;
            else if(!a[i][j]){
            for(int k = 0; k < j; k++) g[0][j][k] = f[0][j][k] | g[0][j-1][k-1] | f[0][j-1][k];
            }    
        }
        for(int j = n; j >=1; j--){
            if(i == 1 && j == n) g[1][n][0] = 1;
            else if(!a[i][j]){
                for(int k = 0; k < j; k++) g[1][j][k] = f[1][j][k] | g[1][j+1][k-1] | f[1][j+1][k];
            }
        }
        for(int j = 1; j <=n; j++){
            for(int k = 0; k < j; k++){
                f[0][j][k] = g[0][j][k];
                f[1][j][k] = g[1][j][k];
                if(f[0][j][k] && f[1][j][k]){
                   // printf("%d %d %d\n",i,j,k);
                    MIN = min(MIN,i + k - 1);
                } 
            }
        }
    }
    printf("%d\n",MIN);
}

Code mẫu của ll931110

#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#define BLOCK 60
using namespace std;

long long olda[1005][17],newa[1005][17],oldb[1005][17],newb[1005][17],wall[1005][17];
int n,k;

int main() {
  scanf("%d %d", &n, &k);
  for (int i = 0; i < n; i++)
    for (int j = 0; j < n; j++) wall[i][j/BLOCK] |= (1LL << (j % BLOCK));
  for (int i = 0; i < k; i++) {
    int x,y;
    scanf("%d %d", &x, &y);
    x--;  y--;
    wall[x][y/BLOCK] ^= (1LL << (y % BLOCK));
  }

  olda[0][0] = 1;
  oldb[0][(n - 1)/BLOCK] = 1LL << ((n - 1) % BLOCK);
  for (int ret = 1; ret <= n + n; ret++) {
    memset(newa,0,sizeof(newa));
    for (int i = 0; i < n; i++)
      for (int j = 0; j < 17; j++) {
        newa[i][j] |= olda[i][j] << 1;
    if (olda[i][j] & (1LL << (BLOCK - 1))) newa[i][j + 1] |= 1;
    newa[i][j] %= (1LL << BLOCK);
        if (i >= n - 1) continue;
    newa[i + 1][j] |= olda[i][j];
    newa[i + 1][j] |= olda[i][j] << 1;
    if (olda[i][j] & (1LL << (BLOCK - 1))) newa[i + 1][j + 1] |= 1;
    newa[i + 1][j] |= (1LL << BLOCK);
      }

    for (int i = 0; i < n; i++)
      for (int j = 0; j < 17; j++) {
        newb[i][j] |= oldb[i][j] >> 1;
    if (j && (oldb[i][j] & 1)) newb[i][j - 1] |= (1LL << (BLOCK - 1));
    if (i >= n - 1) continue;
    newb[i + 1][j] |= oldb[i][j];
    newb[i + 1][j] |= oldb[i][j] >> 1;
    if (j && (oldb[i][j] & 1)) newb[i + 1][j - 1] |= (1LL << (BLOCK - 1));
      }

    for (int i = 0; i < n; i++)
      for (int j = 0; j < 17; j++) {
        olda[i][j] = newa[i][j] & wall[i][j];
    oldb[i][j] = newb[i][j] & wall[i][j];
    if (olda[i][j] & oldb[i][j]) {
      printf("%d\n", ret);
      return 0;
    }
      }
  }
  printf("-1\n");
}

Code mẫu của skyvn97

#include<cstdio>
#include<queue>
#define MAX   505
#define FOR(i,a,b) for (int i=(a),_b=(b);i<=_b;i=i+1)
#define REP(i,n) for (int i=0,_n=(n);i<_n;i=i+1)
#define fi   first
#define se   second
using namespace std;
bool allowCell[MAX][MAX];
bool inQueue[2][2][MAX][MAX];
int n;
int dx[][3]={{0,1,1},{0,1,1}};
int dy[][3]={{1,0,1},{-1,0,-1}};
void init(void) {
    int k;
    scanf("%d%d",&n,&k);
    FOR(i,1,n) FOR(j,1,n) allowCell[i][j]=true;
    REP(zz,k) {
        int x,y;
        scanf("%d%d",&x,&y);
        allowCell[x][y]=false;
    }
}
bool canMove(int x,int y) {
    if (x<1 || x>n || y<1 || y>n) return (false);
    return (allowCell[x][y]);
}
void process(void) {
    queue<pair<int,int> > q[2][2];
    q[0][0].push(make_pair(1,1));
    q[0][1].push(make_pair(1,n));
    inQueue[0][0][1][1]=true;
    inQueue[0][1][1][n]=true;
    REP(t,MAX*MAX) {
        int curPos=t%2;
        int nextPos=curPos^1;
        REP(i,2) while (!q[curPos][i].empty()) {
            int x=q[curPos][i].front().fi;
            int y=q[curPos][i].front().se;
            q[curPos][i].pop();
            inQueue[curPos][i][x][y]=false;
            if (inQueue[curPos][i^1][x][y]) {
                printf("%d\n",t);
                return;
            }
            REP(j,3) if (canMove(x+dx[i][j],y+dy[i][j])) {
                int tx=x+dx[i][j];
                int ty=y+dy[i][j];
                if (!inQueue[nextPos][i][tx][ty]) {
                    inQueue[nextPos][i][tx][ty]=true;
                    q[nextPos][i].push(make_pair(tx,ty));
                }
            }
        }
    }
}
int main(void) {
    init();
    process();
    return 0;
}

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