Hướng dẫn giải của NKTable


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 ladpro98

program NKTABLE;
uses    math;
const   maxn=555;
        fi='';
        dx:array[1..2] of longint = (0,1);
        dy:array[1..2] of longint = (1,0);
type    e=record
                x,y:longint;
        end;
var     a:array[1..maxn,1..maxn] of longint;
        q:array[1..2*maxn*maxn] of e;
        res:array[1..maxn+maxn] of longint;
        chk,chk2:array[1..maxn,1..maxn] of boolean;
        m,n,l,r,layer:longint;

procedure input;
var     inp:text;
        i,j:longint;
begin
        assign(inp,fi);reset(inp);
        readln(inp,m,n);
        for i:=1 to m do
        for j:=1 to n do read(inp,a[i,j]);
        close(inp);
end;

procedure bfsChk;
var     l,r,i,x,y:longint;
        u:e;
begin
        l:=1;r:=1;
        q[1].x:=m;q[1].y:=n;
        chk[m,n]:=true;
        while l<=r do begin
                u:=q[l];inc(l);
                for i:=1 to 2 do begin
                        x:=u.x-dx[i];
                        y:=u.y-dy[i];
                        if (0<x) and (0<y) and (x<=m) and (y<=n)
                        and (not chk[x,y]) and (a[x,y]<2) then begin
                                inc(r);
                                q[r].x:=x;
                                q[r].y:=y;
                                chk[x,y]:=true;
                        end;
                end;
        end;
end;

function bfs:boolean;
var     i,j,x,y:longint;
        u:e;
        found:boolean;
begin
        j:=r;
        found:=false;
        while l<=r do begin
                u:=q[l];inc(l);
                for i:=1 to 2 do begin
                        x:=u.x+dx[i];
                        y:=u.y+dy[i];
                        if (0<x) and (0<y) and (x<=m) and (y<=n)
                        and (chk[x,y]) and (not chk2[x,y]) and (a[x,y]<2) then begin
                                if a[x,y] = 1 then found:=true;
                                chk2[x,y]:=true;
                                inc(j);
                                q[j].x:=x;
                                q[j].y:=y;
                        end;
                end;
        end;
        r:=j;
        exit(found);
end;

procedure resetQueue;
var     tl,tr,i:longint;
begin
        tl:=l;tr:=r;
        l:=1;r:=0;
        for i:=tl to tr do
        if a[q[i].x,q[i].y]=1 then begin
                inc(r);
                q[r]:=q[i];
        end;
end;

begin
        input;
        bfsChk;
        l:=1;r:=1;q[1].x:=1;q[1].y:=1;
        res[1]:=a[1,1];
        for layer:=2 to m+n-1 do begin
                if bfs then begin
                        res[layer]:=1;
                        resetQueue;
                end
                else    res[layer]:=0;
        end;
        for layer:=1 to m+n-1 do write(res[layer]);
end.

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);
typedef pair<int,int> P;

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

int m, n, a[511][511];
P tr[511][511];
queue< P > cur, next[2];
deque< queue<P> > v;

bool inside(int u, int v) {
    return (u > 0) && (u <= m) && (v > 0) && (v <= n);
}

void clear(queue< P > &q) {
    while (!q.empty()) q.pop();
}

void trace(int m, int n) {
    if (m == 1 && n == 1) {
        printf("%d", a[1][1]);
        return ;
    }
    trace(tr[m][n].F, tr[m][n].S);
    printf("%d", a[m][n]);
}

int main() {
    scanf("%d%d", &m, &n);
    FOR(i,1,m) FOR(j,1,n) scanf("%d", &a[i][j]);

    clear(cur); cur.push(MP(1,1));
    v.push_back(cur);

    while (!v.empty()) {
        cur = v.front();
        clear(next[0]); clear(next[1]);
        while (!cur.empty()) {
            P u = cur.front(); cur.pop();
            REP(dir,2) {
                P v = MP(u.F + di[dir], u.S + dj[dir]);
                if (inside(v.F, v.S) && a[v.F][v.S] < 2 && tr[v.F][v.S] == MP(0,0)) {
                    tr[v.F][v.S] = u;
                    next[a[v.F][v.S]].push(v);
                }
            }
        }
        if (!next[1].empty()) v.push_back(next[1]);
        if (!next[0].empty()) v.push_back(next[0]);
        v.pop_front();
    }
    trace(m, n);
    puts("");
    return 0;
}

Code mẫu của hieult

#include <set>
#include <map>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <cctype>
#include <cstdio>
#include <string>
#include <vector>
#include <cassert>
#include <cstdlib>
#include <cstring>
#include <sstream>
#include <iomanip>
#include <iostream>
#include <algorithm>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef unsigned int ui;
typedef unsigned long long ull;

#define Rep(i,n) for(typeof(n) i = 0; i < (n); ++i)
#define Repd(i,n) for(typeof(n) i = (n)-1; i >= 0; --i)
#define For(i,a,b) for(typeof(b) i = (a); i <= (b); ++i)
#define Ford(i,a,b) for(typeof(a) i = (a); i >= (b); --i)
#define Fit(i,v) for(typeof((v).begin()) i = (v).begin(); i != (v).end(); ++i)
#define Fitd(i,v) for(typeof((v).rbegin()) i = (v).rbegin(); i != (v).rend(); ++i)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define sz(a) ((int)(a).size())
#define all(a) (a).begin(), (a).end()
#define ms(a,x) memset(a, x, sizeof(a))
#define nl puts("")
#define sp printf(" ")
#define ok puts("ok")
//#include <conio.h>

template<class F, class T> T convert(F a, int p = -1) { stringstream ss; if (p >= 0) ss << fixed << setprecision(p); ss << a; T r; ss >> r; return r; }
template<class T> void db(T a, int p = -1) { if (p >= 0) cout << fixed << setprecision(p); cout << a << " "; }
template<class T> T gcd(T a, T b) { T r; while (b != 0) { r = a % b; a = b; b = r; } return a; }
template<class T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
template<class T> T sqr(T x) { return x * x; }
template<class T> T cube(T x) { return x * x * x; }
template<class T> struct Triple { T x, y, z; Triple() {} Triple(T _x, T _y, T _z) : x(_x), y(_y), z(_z) {} };
template<class T> Triple<T> euclid(T a, T b) { if (b == 0) return Triple<T>(1, 0, a); Triple<T> r = euclid(b, a % b); return Triple<T>(r.y, r.x - a / b * r.y, r.z); }
template<class T> int getbit(T s, int i) { return (s >> i) & 1; }
template<class T> T onbit(T s, int i) { return s | (T(1) << i); }
template<class T> T offbit(T s, int i) { return s & (~(T(1) << i)); }
template<class T> int cntbit(T s) { return s == 0 ? 0 : cntbit(s >> 1) + (s & 1); }
const int bfsz = 1 << 16; char bf[bfsz + 5]; int rsz = 0;int ptr = 0;
char gc() { if (rsz <= 0) { ptr = 0; rsz = fread(bf, 1, bfsz, stdin); if (rsz <= 0) return EOF; } --rsz; return bf[ptr++]; }
void ga(char &c) { c = EOF; while (!isalpha(c)) c = gc(); }
int gs(char s[]) { int l = 0; char c = gc(); while (isspace(c)) c = gc(); while (c != EOF && !isspace(c)) { s[l++] = c; c = gc(); } s[l] = '\0'; return l; }
template<class T> bool gi(T &v) {
    v = 0; char c = gc(); while (c != EOF && c != '-' && !isdigit(c)) c = gc(); if (c == EOF) return false; bool neg = c == '-'; if (neg) c = gc();
    while (isdigit(c)) { v = v * 10 + c - '0'; c = gc(); } if (neg) v = -v; return true;
}

const double PI = 2 * acos(0);
const string months[] = {"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"};
const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int dr[] = {0, +1};
const int dc[] = {+1, 0};
const int inf = (int)1e9 + 5;
const ll linf = (ll)1e16 + 5;
const double eps = 1e-9;
const ll mod = 100000007;
typedef pair<int, int> II;

#define maxn 505
#define maxe 100005

int n, m, a[maxn][maxn];
int test;
bool b[maxn][maxn], g[maxn][maxn];

bool thoaman(int r, int c){
    return (r > 0 && r <= n && c > 0 && c <= m && a[r][c] != 2);
}

void dfs(int r, int c){
   // printf("%d %d\n", r, c);
    int rr, cc;
    Rep(t, 2){
        rr = r - dr[t];
        cc = c - dc[t];
        if(thoaman(rr, cc) && ! b[rr][cc]){
            b[rr][cc] = 1;
            dfs(rr, cc);
        }
    }
}

int main() {
//    freopen("in.txt", "r", stdin);
//    freopen("out.txt", "w", stdout);
    ms(b, 0); ms(g, 0);
    scanf("%d %d", &n, &m);
    For(i, 1, n) For(j, 1, m) scanf("%d", &a[i][j]);
    b[n][m] = 1;
    dfs(n, m);
    vector<int> res;
    res.pb(a[1][1]); g[1][1] = 1;
    int j, r, c;

    For(add, 2, n + m - 1){
        int MAX = 0;
        queue<II> q;
        for(int i = 1; i <= n && i < add; i++){
            j = add - i;
            if(thoaman(i, j) && g[i][j]){
               // printf("%d %d\n", i, j);
                Rep(t, 2){
                    r = i + dr[t];
                    c = j + dc[t];
                    if(thoaman(r, c) && b[r][c]){
                        MAX = max(MAX, a[r][c]);
                        q.push(mp(r, c));
                    }
                }
            }
        }
        res.pb(MAX);
        while(!q.empty()){
            r = q.front().fi; c = q.front().se; q.pop();
            if(a[r][c] == MAX) g[r][c] = 1;
        }
    }
    Rep(i, sz(res)) printf("%d", res[i]);
   // cout << clock() << endl;
    return 0;
}

Code mẫu của skyvn97

#include<bits/stdc++.h>
#define MAX   505
struct pos {
    int x,y;
    pos(){}
    pos(const int &_x,const int &_y) {
        x=_x;y=_y;
    }
};
int a[MAX][MAX];
bool mv[MAX][MAX];
bool vs[MAX][MAX];
int m,n;
int res[2*MAX];
pos v[2][2*MAX];
int sz[2];
void init(void) {
    scanf("%d",&m);
    scanf("%d",&n);
    int i,j;
    for (i=1;i<=m;i=i+1)
        for (j=1;j<=n;j=j+1)
            scanf("%d",&a[i][j]);   
}
void optimize(void) {
    int i,j;
    mv[m][n]=true;
    vs[m][n]=false;
    for (i=m;i>=1;i=i-1)
        for (j=n-(i==m);j>=1;j=j-1) {
            if (a[i][j]==2) mv[i][j]=false;
            else mv[i][j]=mv[i+1][j]||mv[i][j+1];
            vs[i][j]=false;
        }
    for (i=0;i<=m+1;i=i+1) {
        mv[i][0]=false;
        mv[i][n+1]=false;
    }
    for (i=0;i<=n+1;i=i+1) {
        mv[0][i]=false;
        mv[m+1][i]=false;
    }
}
void BFS(void) {
    int st,i,t,mval;
    sz[1]=1;
    v[1][1]=pos(1,1);
    res[1]=a[1][1];
    for (st=1;st<m+n-1;st=st+1) {
        t=st%2;
        mval=0;
        for (i=1;i<=sz[t];i=i+1) {          
            if (mv[v[t][i].x+1][v[t][i].y] && mval<a[v[t][i].x+1][v[t][i].y]) mval=a[v[t][i].x+1][v[t][i].y];
            if (mv[v[t][i].x][v[t][i].y+1] && mval<a[v[t][i].x][v[t][i].y+1]) mval=a[v[t][i].x][v[t][i].y+1];
        }
        res[st+1]=mval;
        sz[1-t]=0;
        for (i=1;i<=sz[t];i=i+1) {
            if (!vs[v[t][i].x+1][v[t][i].y] && mv[v[t][i].x+1][v[t][i].y] && mval==a[v[t][i].x+1][v[t][i].y]) {
                sz[1-t]++;
                v[1-t][sz[1-t]]=pos(v[t][i].x+1,v[t][i].y);
                vs[v[t][i].x+1][v[t][i].y]=true;
            }
            if (!vs[v[t][i].x][v[t][i].y+1] && mv[v[t][i].x][v[t][i].y+1] && mval==a[v[t][i].x][v[t][i].y+1]) {
                sz[1-t]++;
                v[1-t][sz[1-t]]=pos(v[t][i].x,v[t][i].y+1);
                vs[v[t][i].x][v[t][i].y+1]=true;
            }
        }
    }
    for (st=1;st<m+n;st=st+1) printf("%d",res[st]);
}
int main(void) {
    init();
    optimize();
    BFS();
    return 0;
}

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