Editorial for VOI 12 Bài 5 - Robocon
Remember to use this editorial only when stuck, and not to copy-paste code from it. Please be respectful to the problem author and editorialist.
Submitting an official solution before solving the problem yourself is a bannable offence.
Submitting an official solution before solving the problem yourself is a bannable offence.
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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