File size: 2,927 Bytes
ab396f0 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 |
// Ethan Traverses a Tree
// Solution by Jacob Plachta
#define DEBUG 0
#include <algorithm>
#include <functional>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <complex>
#include <cstdlib>
#include <ctime>
#include <cstring>
#include <cassert>
#include <string>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <sstream>
using namespace std;
#define LL long long
#define LD long double
#define PR pair<int,int>
#define Fox(i,n) for (i=0; i<n; i++)
#define Fox1(i,n) for (i=1; i<=n; i++)
#define FoxI(i,a,b) for (i=a; i<=b; i++)
#define FoxR(i,n) for (i=(n)-1; i>=0; i--)
#define FoxR1(i,n) for (i=n; i>0; i--)
#define FoxRI(i,a,b) for (i=b; i>=a; i--)
#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++)
#define Min(a,b) a=min(a,b)
#define Max(a,b) a=max(a,b)
#define Sz(s) int((s).size())
#define All(s) (s).begin(),(s).end()
#define Fill(s,v) memset(s,v,sizeof(s))
#define pb push_back
#define mp make_pair
#define x first
#define y second
template<typename T> T Abs(T x) { return(x<0 ? -x : x); }
template<typename T> T Sqr(T x) { return(x*x); }
string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); }
const int INF = (int)1e9;
const LD EPS = 1e-12;
const LD PI = acos(-1.0);
#if DEBUG
#define GETCHAR getchar
#else
#define GETCHAR getchar_unlocked
#endif
bool Read(int &x)
{
char c,r=0,n=0;
x=0;
for(;;)
{
c=GETCHAR();
if ((c<0) && (!r))
return(0);
if ((c=='-') && (!r))
n=1;
else
if ((c>='0') && (c<='9'))
x=x*10+c-'0',r=1;
else
if (r)
break;
}
if (n)
x=-x;
return(1);
}
#define LIM 2000
int A[LIM],B[LIM];
int cnt[2],ord[2][LIM];
void rec(int z,int i)
{
if (i<0)
return;
if (!z)
ord[z][cnt[z]++]=i;
rec(z,A[i]);
rec(z,B[i]);
if (z)
ord[z][cnt[z]++]=i;
}
int main()
{
if (DEBUG)
freopen("in.txt","r",stdin);
// vars
int T,t;
int N,K;
int i,j,k,a,b;
vector<int> con[LIM];
int L[LIM];
queue<int> Q;
// testcase loop
Read(T);
Fox1(t,T)
{
// input
Read(N),Read(K);
Fox(i,N)
Read(A[i]),Read(B[i]),A[i]--,B[i]--;
// compute both traversals
Fill(cnt,0);
Fox(i,2)
rec(i,0);
// construct graph of nodes with equal labels
Fox(i,N)
con[i].clear();
Fox(i,2)
Fox(j,N)
con[ord[i][j]].pb(ord[1-i][j]);
// split graph into components
k=0;
Fill(L,-1);
Fox(i,N)
if (L[i]<0)
{
if (k<K)
k++;
Q.push(i),L[i]=k;
while (!Q.empty())
{
j=Q.front(),Q.pop();
Fox(a,Sz(con[j]))
if (L[b=con[j][a]]<0)
Q.push(b),L[b]=k;
}
}
// output
printf("Case #%d:",t);
if (k<K)
printf(" Impossible\n");
else
{
Fox(i,N)
printf(" %d",L[i]);
printf("\n");
}
}
return(0);
} |