Hướng dẫn giải của Trồng cây


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

const max=250;
var a,b:array[1..max,1..max] of byte;
    h,v:array[1..max] of byte;
    m,n:byte;
    dem:longint;

procedure rf;
var i,j:byte;
begin
     fillchar(h,sizeof(h),0);
     fillchar(v,sizeof(v),0);
     readln(m,n);
     for i:=1 to m do
     begin
          for j:=1 to n do
          begin
               read(a[i,j]);
               if a[i,j]=1 then
               begin
                    inc(h[i]);
                    inc(v[j]);
               end;
          end;
          readln;
     end;
end;

function find(var i:byte):byte;
var j:byte;
begin
     for j:=1 to m do
         if h[j] mod 2 = 1 then
         begin
              i:=j;
              exit(1);
         end;
     for j:=1 to n do
         if v[j] mod 2 = 1 then
         begin
              i:=j;
              exit(2);
         end;
     for j:=1 to m do
         if h[j]>0 then
         begin
              i:=j;
              exit(3);
         end;
     for j:=1 to n do
         if v[j]>0 then
         begin
              i:=j;
              exit(4);
         end;
     exit(0);
end;

procedure work(k,c:byte);
var i:byte;
begin
     if (k=1) or (k=3) then
     begin
          repeat
                for i:=1 to n do
                    if a[c,i]=1 then
                    begin
                         b[c,i]:=1+dem mod 2;
                         inc(dem);
                         dec(h[c]);
                         dec(v[i]);
                         a[c,i]:=0;
                         break;
                    end;
                c:=i;
                if v[c]=0 then break;
                for i:=1 to m do
                    if a[i,c]=1 then
                    begin
                         b[i,c]:=1+dem mod 2;
                         inc(dem);
                         dec(h[i]);
                         dec(v[c]);
                         a[i,c]:=0;
                         break;
                    end;
                c:=i;
                if h[c]=0 then break;
          until false;
     end
     else
     begin
          repeat
                for i:=1 to m do
                    if a[i,c]=1 then
                    begin
                         b[i,c]:=1+dem mod 2;
                         inc(dem);
                         dec(h[i]);
                         dec(v[c]);
                         a[i,c]:=0;
                         break;
                    end;
                c:=i;
                if h[c]=0 then break;
                for i:=1 to n do
                    if a[c,i]=1 then
                    begin
                         b[c,i]:=1+dem mod 2;
                         inc(dem);
                         dec(h[c]);
                         dec(v[i]);
                         a[c,i]:=0;
                         break;
                    end;
                c:=i;
                if v[c]=0 then break;
          until false;
     end;
end;

procedure pr;
var i,j:byte;
begin
     fillchar(b,sizeof(b),0);
     dem:=1;
     repeat
           i:=find(j);
           if i=0 then break;
           work(i,j);
     until false;
end;

procedure wf;
var i,j:byte;
begin
     for i:=1 to m do
     begin
          for j:=1 to n do
              write(b[i,j],' ');
          writeln;
     end;
end;

begin
     rf;
     pr;
     wf;
end.

Code mẫu của RR

#include <iostream>
#include <algorithm>
#include <vector>

#define FOR(i,a,b)  for(int i=a; i<=b; i++)
#define FORD(i,a,b) for(int i=a; i>=b; i--)
#define FORV(i,v)   for(typeof(v.begin()) i=v.begin(); i!=v.end(); i++)
#define MAXN 255
#define P pair<int,int>
#define X first
#define Y second
#define PB push_back
using namespace std;

int m,n,a[MAXN][MAXN],ind[MAXN][MAXN],npoint,color[MAXN*MAXN];
P pos[MAXN*MAXN];
vector<int> ke[MAXN*MAXN];

void inp() {
    scanf("%d %d",&m,&n);
    FOR(i,1,m)
    FOR(j,1,n) {
        scanf("%d",&a[i][j]);
        if (a[i][j]) {
            npoint++;
            pos[npoint].X=i; pos[npoint].Y=j;
            ind[i][j]=npoint; 
        }
    }
}

void init() {
    int last;
    FOR(i,1,m) {
        int cnt=0;
        FOR(j,1,n)
            if (a[i][j]) {
                if (cnt&1) {
                    ke[ind[i][j]].PB(last);
                    ke[last].PB(ind[i][j]);
                }
                cnt++;
                last=ind[i][j];
            }
    }

    FOR(j,1,n) {
        int cnt=0;
        FOR(i,1,m)
            if (a[i][j]) {
                if (cnt&1) {
                    ke[ind[i][j]].PB(last);
                    ke[last].PB(ind[i][j]);
                }
                cnt++;
                last=ind[i][j];
            }
    }
}

int first,last,qu[MAXN*MAXN],n1,n2;

inline void paint(int u,int k) {
    color[u]=k;
    if (k==1) n1++;
    else n2++;
}

void bfs(int u) {
    first=1; last=1; qu[1]=u;
    if (n1<n2) paint(u,1);
    else paint(u,2);
    while (first<=last) {
        u=qu[first]; first++;
        FORV(v,ke[u])
        if (!color[*v]) {
            paint(*v,3-color[u]);
            last++; qu[last]=*v;
        }
    }
}

void solve() {
    n1 = n2 = 0;
    FOR(i,1,m)
    FOR(j,1,n)
        if (a[i][j] && !color[ind[i][j]]) {
            bfs(ind[i][j]);
        }

    FOR(i,1,m) {
        FOR(j,1,n)
            if (!a[i][j]) printf("0 ");
            else printf("%d ",color[ind[i][j]]);
        printf("\n");
    }
}

int main() {
//    freopen("input.txt","r",stdin);
//    freopen("output.txt","w",stdout);
    inp();
    init();
    solve();
    return 0;
}

Code mẫu của hieult

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

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(int i = 0; i < (n); ++i)
#define Repd(i,n) for(int i = (n)-1; i >= 0; --i)
#define For(i,a,b) for(int i = (a); i <= (b); ++i)
#define Ford(i,a,b) for(int 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))

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> 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> 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 = (int) 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;
}

typedef pair<int, int> II;
const ld PI = acos(-1.0);
const ld eps = 1e-12;
const int dr[] = { -1, 0, +1, 0};
const int dc[] = { 0, +1, 0, -1};
const int inf = (int) 1e9 + 5;
const ll linf = (ll) 1e18 + 5;
const int mod = (ll) (1e9 + eps);

using namespace std;
#define maxv 1005
#define maxe 250005

struct Dinic {
    int n, s, t, E, adj[maxe], flow[maxe], cap[maxe], next[maxe], last[maxv], run[maxv], level[maxv], que[maxv];

    void init(int _n, int _s, int _t) {
        n = _n; s = _s; t = _t; E = 0;
        For(i, 0, n) last[i] = -1;
    }

    void add(int u, int v, int c1, int c2) {
        adj[E] = v; flow[E] = 0; cap[E] = c1; next[E] = last[u]; last[u] = E++;
        adj[E] = u; flow[E] = 0; cap[E] = c2; next[E] = last[v]; last[v] = E++;
    }

    bool bfs() {
        For(i, 0, n) level[i] = -1;
        level[s] = 0;

        int qsize = 0;
        que[qsize++] = s;

        Rep(i, qsize) {
            for (int u = que[i], e = last[u]; e != -1; e = next[e]) {
                int v = adj[e];
                if (flow[e] < cap[e] && level[v] == -1) {
                    level[v] = level[u] + 1;
                    que[qsize++] = v;
                }
            }
        }

        return level[t] != -1;
    }

    int dfs(int u, int bot) {
        if (u == t) return bot;
        for (int &e = run[u]; e != -1; e = next[e]) {
            int v = adj[e], delta = 0;
            if (level[v] == level[u] + 1 && flow[e] < cap[e] && (delta = dfs(v, min(bot, cap[e] - flow[e]))) > 0) {
                flow[e] += delta; flow[e ^ 1] -= delta;
                return delta;
            }
        }
        return 0;
    }

    int maxflow() {
        int total = 0;
        while (bfs()) {
            For(i, 0, n) run[i] = last[i];
            for (int delta = dfs(s, inf); delta > 0; delta = dfs(s, inf)) total += delta;
        }
        return total;
    }
} dinic;

int n, m, row[maxv], col[maxv], oddrow, oddcol, a[maxv][maxv], sum;

int main(){
//  freopen("in.txt", "r", stdin);

    cin >> n >> m;
    ms(row, 0); ms(col, 0); sum = 0;
    dinic.init(n + m + 4, n + m + 3, n + m + 4);
    For(i, 1, n) For(j, 1, m) {
        scanf("%d", &a[i][j]);
        row[i] += a[i][j];
        col[j] += a[i][j];
        sum += a[i][j];
    }

    oddrow = 0; oddcol = 0;
    For(i, 1, n) oddrow += (row[i] & 1);
    For(i, 1, m) oddcol += (col[i] & 1);

    For(i, 1, n) For(j, 1, m) if(a[i][j]){
        dinic.add(i, j + n, 1, 0);
    }

    For(i, 1, n) dinic.add(n + m + 1, i, row[i] / 2, 0);
    For(i, 1, m) dinic.add(i + n, n + m + 2, col[i] / 2, 0);
    dinic.add(n + m + 3, n + m + 1, sum / 2, 0);
    dinic.add(n + m + 2, n + m + 4, sum / 2, 0);
    dinic.maxflow();
    if(oddrow > oddcol){
        Rep(i, n) dinic.cap[i * 2 + sum * 2] = row[i + 1] - row[i + 1] / 2;
        dinic.maxflow();
        Rep(i, m) dinic.cap[i * 2 + n * 2 + sum * 2] = col[i + 1] - col[i + 1] / 2;
        dinic.maxflow();
    }
    else{
        Rep(i, m) dinic.cap[i * 2 + n * 2 + sum * 2] = col[i + 1] - col[i + 1] / 2;
        dinic.maxflow();
        Rep(i, n) dinic.cap[i * 2 + sum * 2] = row[i + 1] - row[i + 1] / 2;
        dinic.maxflow();
    }

    int run = 0;
    For(i, 1, n) For(j, 1, m){
        if(a[i][j]){
            if(dinic.flow[run]) printf("1%c", j == m ? '\n' : ' ');
            else printf("2%c", j == m ? '\n' : ' ');
            run += 2;
        }
        else printf("0%c", j == m ? '\n' : ' ');
    }

    return 0;
}

Code mẫu của ll931110

{$R+,Q+}
{$MODE DELPHI}
program GARDEN25;
const
  input = '';
  output = '';
  maxn = 250;
var
  hz,ve,a,res: array[1..maxn,1..maxn] of integer;
  free: array[1..maxn,1..maxn] of boolean;
  m,n,delta: integer;

procedure init;
var
  f: text;
  i,j: integer;
begin
  assign(f, input);
    reset(f);

  readln(f, m, n);
  for i := 1 to m do
    for j := 1 to n do read(f, a[i,j]);

  close(f);
  delta := 0;
end;

procedure construct;
var
  t,i,j: integer;
begin
  fillchar(hz, sizeof(hz), 0);
  fillchar(ve, sizeof(ve), 0);

  for i := 1 to m do
    begin
      t := 0;
      for j := 1 to n do if a[i,j] = 1 then
        if t = 0 then t := j else
          begin
            hz[i,t] := j;
            hz[i,j] := t;
            t := 0;
          end;
    end;

  for j := 1 to n do
    begin
      t := 0;
      for i := 1 to m do if a[i,j] = 1 then
        if t = 0 then t := i else
          begin
            ve[t,j] := i;
            ve[i,j] := t;
            t := 0;
          end;
    end;
end;

procedure DFS(i,j: integer);
var
  k,t: integer;
begin
  free[i,j] := false;

  t := hz[i,j];
  if (t <> 0) and (a[i,t] = 1) then
    if free[i,t] then
      begin
        res[i,t] := 3 - res[i,j];
        if res[i,t] = 1 then inc(delta) else dec(delta);
        DFS(i,t);
      end;

  t := ve[i,j];
  if (t <> 0) and (a[t,j] = 1) then
    if free[t,j] then
      begin
        res[t,j] := 3 - res[i,j];
        if res[t,j] = 1 then inc(delta) else dec(delta);
        DFS(t,j);
      end;
end;

procedure solve;
var
  i,j: integer;
begin
  fillchar(free, sizeof(free), true);
  fillchar(res, sizeof(res), 0);

  for i := 1 to m do
    for j := 1 to n do if free[i,j] and (a[i,j] = 1) then
      begin
        if delta <= -1 then
          begin
            inc(delta);
            res[i,j] := 1;
          end
        else
          begin
            dec(delta);
            res[i,j] := 2;
          end;
        DFS(i,j);
      end;
end;

procedure printresult;
var
  f: text;
  i,j: integer;
begin
  assign(f, output);
    rewrite(f);

  for i := 1 to m do
    begin
      write(f, res[i,1]);
      for j := 2 to n do write(f, ' ', res[i,j]);
      if i <> m then writeln(f);
    end;
  close(f);
end;

begin
  init;
  construct;
  solve;
  printresult;
end.

Code mẫu của skyvn97

#include<bits/stdc++.h>
#define MAX   555
#define FOR(i,a,b) for (int i=(a);i<=(b);i=i+1)
#define REP(i,n) for (int i=0;i<(n);i=i+1)
#define FORE(i,v) for (__typeof((v).begin()) i=(v).begin();i!=(v).end();i++)
using namespace std;
const int INF=(int)1e9+7;
class DinicFlow {
    public:
    vector<int> dist,head,q,work;
    vector<int> point,capa,flow,next;
    int n,m;
    DinicFlow() {
        n=0;m=0;
    }
    DinicFlow(int n) {
        this->n=n;m=0;
        dist.assign(n+7,0);
        head.assign(n+7,-1);
        q.assign(n+7,0);
        work.assign(n+7,0);
    }
    void addedge(int u,int v,int c1,int c2) {
        point.push_back(v);capa.push_back(c1);flow.push_back(0);next.push_back(head[u]);head[u]=m++;
        point.push_back(u);capa.push_back(c2);flow.push_back(0);next.push_back(head[v]);head[v]=m++;
    }
    bool bfs(int s,int t) {
        FOR(i,1,n) dist[i]=-1;
        int sz=0;
        q[sz++]=s;dist[s]=0;
        REP(x,sz) {
            int u=q[x];
            for (int i=head[u];i>=0;i=next[i])
                if (dist[point[i]]<0 && flow[i]<capa[i]) {
                    dist[point[i]]=dist[u]+1;
                    q[sz++]=point[i];
                }
        }
        return (dist[t]>=0);
    }
    int dfs(int s,int t,int f) {
        if (s==t) return (f);
        for (int &i=work[s];i>=0;i=next[i])
            if (dist[point[i]]==dist[s]+1 && flow[i]<capa[i]) {
                int d=dfs(point[i],t,min(f,capa[i]-flow[i]));
                if (d>0) {
                    flow[i]+=d;
                    flow[i^1]-=d;
                    return (d);
                }
            }
        return (0);
    }
    int getflow(int s,int t) {
        int totflow=0;
        while (bfs(s,t)) {
            FOR(i,1,n) work[i]=head[i];
            while (true) {
                int d=dfs(s,t,INF);
                if (d<=0) break;
                totflow+=d;
            }
        }
        return (totflow);
    }
};
class DemandFlow {
    public:
    DinicFlow G;
    vector<int> si,so;
    int n;
    DemandFlow() {
        n=0;
    }
    DemandFlow(int n) {
        this->n=n;
        si.assign(n+7,0);
        so.assign(n+7,0);
        G=DinicFlow(n+2);
    }
    void addedge(int u,int v,int d,int c) {
        si[v]+=d;
        so[u]+=d;
        G.addedge(u,v,c-d,0);
    }
    bool haveflow(int s,int t) {
        int sd=0;
        FOR(i,1,n) {
            sd+=si[i];
            if (si[i]>0) G.addedge(n+1,i,si[i],0);
            if (so[i]>0) G.addedge(i,n+2,so[i],0);
        }
        G.addedge(t,s,INF-7,0);
        return (G.getflow(n+1,n+2)==sd);
    }
};
DemandFlow DF;
int n,m,cnt;
int sr[MAX],sc[MAX],a[MAX][MAX];
void process(void) {
    scanf("%d%d",&m,&n);
    DF=DemandFlow(m+n+3);
    FOR(i,1,m) FOR(j,1,n) {
        scanf("%d",&a[i][j]);
        if (a[i][j]) {
            sr[i]++;
            sc[j]++;
            cnt++;
            DF.addedge(i,m+j,0,1);
        }
    }
    FOR(i,1,m) DF.addedge(m+n+1,i,sr[i]/2,sr[i]-sr[i]/2);
    FOR(i,1,n) DF.addedge(m+i,m+n+2,sc[i]/2,sc[i]-sc[i]/2);
    DF.addedge(m+n+3,m+n+1,cnt/2,cnt-cnt/2);
    assert(DF.haveflow(m+n+3,m+n+2));
    int id=0;
    FOR(i,1,m) FOR(j,1,n) {
        if (a[i][j]) printf("%d",2-DF.G.flow[2*id++]); else printf("0");
        if (j<n) printf(" "); else printf("\n");
    }
}
int main(void) {
#ifndef ONLINE_JUDGE
    freopen("tmp.txt","r",stdin);
#endif
    int id=0;
    process();
    return 0;
}

Code mẫu của khuc_tuan

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

int m, n;
int a[255][255], b[255][255];
int degx[255], degy[255];
// int start_color;
int C[3];

void gox(int i, int color);
void goy(int j, int color);

void gox(int i, int color) {
    for(int j=0;j<n;++j)
        if(a[i][j] == 1 && b[i][j] == 0) {
            b[i][j] = color;
            ++C[color];
            --degx[i]; --degy[j];
            goy( j, 3 - color);
            return;
        }
}

void goy(int j, int color) {
    for(int i=0;i<m;++i)
        if(a[i][j] == 1 && b[i][j] == 0) {
            b[i][j] = color;
            ++C[color];
            --degx[i]; --degy[j];
            gox( i, 3 - color);
            return;
        }
}

int main() {
    scanf("%d%d", &m, &n);
    for(int i=0;i<m;++i)
        for(int j=0;j<n;++j)
            scanf("%d", &a[i][j]);
    for(int i=0;i<m;++i)
        for(int j=0;j<n;++j)
            if(a[i][j]) {
                ++degx[i];
                ++degy[j];
            }
    // start_color = 1;
    for(int i=0;i<m;++i)
        if(degx[i] % 2 == 1) {
            if(C[1] > C[2]) gox( i, 2);
            else gox( i, 1);
            // start_color = 3 - start_color;
        }
    for(int j=0;j<n;++j)
        if(degy[j] % 2 == 1) {
            if(C[1] > C[2]) goy( j, 2);
            else goy( j, 1);
            // goy( j, start_color);
            // start_color = 3 - start_color;
        }
    for(int i=0;i<m;++i)
        if(degx[i] > 0)
            gox( i, 1);
    for(int j=0;j<n;++j)
        if(degy[j] > 0)
            goy( j, 1);
    for(int i=0;i<m;++i) {
        for(int j=0;j<n;++j) printf("%d ", b[i][j]);
        printf("\n");
    }
    // system("pause");
    return 0;   
}

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