//Krzysztof Pieprzak #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef unsigned long long ull; typedef unsigned int uint; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<int,int> pii; typedef pair<long long, long long> pll; typedef vector<pii> vpii; typedef vector<pll> vpll; #define Size(x) (int)x.size() #define VAR(v,n) auto v = (n) #define FOR(i,a,b) for(VAR(i,a); i < (b); ++i) #define FORE(i,a,b) for(VAR(i,a); i <= (b); ++i) #define FORREV(i,a,b) for(VAR(i,b); i >= (a); --i) #define FORSTEP(i,a,b,step) for(VAR(i,a); i < (b); i += (step)) #define FOREACH(i,c) for(auto i : (c)) #define FOREACHS(i,c,n) for(VAR(i,&(c)[0]); i-(c)<(n); ++i) #define ALL(x) x.begin(),x.end() #define CLEAR(t) memset(t, 0, sizeof(t)) #define F first #define S second #define MP make_pair #define PUB push_back #define POB pop_back #define pieprzu ios_base::sync_with_stdio(0); #define debugOn 0 #define debug(a,b) if (debugOn) cout << a << ": " << b << endl; const int INF = 1000000001; const double EPS = 10e-9; const int MAXN = 100000; vi t[MAXN + 5]; char inputColors[MAXN + 5]; char outputColors[MAXN + 5]; int n = 0; bool vis[MAXN + 5]; int path[MAXN + 5]; void cleanup() { FOR (i, 0, n) { t[i].clear(); vis[i] = 0; } } void read() { scanf("%d", &n); scanf("%s", inputColors); scanf("%s", outputColors); int a, b; FOR (i, 1, n) { scanf("%d %d", &a, &b); --a; --b; t[a].PUB(b); t[b].PUB(a); } } int getColorsHash(char *colors) { int colorsHash = 0; FOR (i, 0, n) { if (colors[i] == '0') { colorsHash |= 1; } else { colorsHash |= 2; } if (colorsHash == 3) { return colorsHash; } } return colorsHash; } bool containsThreeDegVertex() { FOR (i, 0, n) { if (Size(t[i]) > 2) { return true; } } return false; } int getFirstVertexOnPath() { FOR (i, 0, n) { if (Size(t[i]) == 1) { return i; } } return -1; } int getNext(int v) { FOREACH (w, t[v]) { if (!vis[w]) { return w; } } return -1; } void preparePath() { int idx = 0; for (int v = getFirstVertexOnPath(); v != -1; v = getNext(v)) { path[idx++] = v; vis[v] = 1; } } int countDifferentParts(char *colors) { int cnt = 1; FOR (i, 1, n) { if (colors[path[i]] != colors[path[i - 1]]) { ++cnt; } } return cnt; } bool solvePath() { if (n == 1) { return inputColors[0] == outputColors[0]; } preparePath(); int cntInput = countDifferentParts(inputColors); int cntOutput = countDifferentParts(outputColors); int mxAllowedOutputParts = cntInput - (inputColors[path[0]] != outputColors[path[0]] ? 1 : 0) - (inputColors[path[n - 1]] != outputColors[path[n - 1]] ? 1 : 0); return cntOutput <= mxAllowedOutputParts; } bool noChanges() { FOR (i, 0, n) { if (inputColors[i] != outputColors[i]) { return false; } } return true; } bool containsNeighborsOfTheSameColor() { FOR (v, 0, n) { int color = outputColors[v]; FOREACH (w, t[v]) { if (outputColors[w] == color) { return true; } } } return false; } bool solve() { if (noChanges()) { return true; } int inputColorsHash = getColorsHash(inputColors); int outputColorsHash = getColorsHash(outputColors); if (inputColorsHash < 3) { debug("one color in input", inputColorsHash - 1); debug("output colors hash", outputColorsHash); return inputColorsHash == outputColorsHash; } else if (outputColorsHash < 3) { debug("multiple colors in input but one color in output", outputColorsHash - 1); return true; } else if (containsThreeDegVertex()) { debug("tree contains three deg vertex", -1); return containsNeighborsOfTheSameColor(); } else { debug("tree is a path", -1); return solvePath(); } } void rob(int test) { cleanup(); read(); bool result = solve(); if (result) { printf("TAK\n"); } else { printf("NIE\n"); } } int main() { int test = 1; scanf("%d", &test); FORE (i, 1, test) rob(i); return 0; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 | //Krzysztof Pieprzak #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef unsigned long long ull; typedef unsigned int uint; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<int,int> pii; typedef pair<long long, long long> pll; typedef vector<pii> vpii; typedef vector<pll> vpll; #define Size(x) (int)x.size() #define VAR(v,n) auto v = (n) #define FOR(i,a,b) for(VAR(i,a); i < (b); ++i) #define FORE(i,a,b) for(VAR(i,a); i <= (b); ++i) #define FORREV(i,a,b) for(VAR(i,b); i >= (a); --i) #define FORSTEP(i,a,b,step) for(VAR(i,a); i < (b); i += (step)) #define FOREACH(i,c) for(auto i : (c)) #define FOREACHS(i,c,n) for(VAR(i,&(c)[0]); i-(c)<(n); ++i) #define ALL(x) x.begin(),x.end() #define CLEAR(t) memset(t, 0, sizeof(t)) #define F first #define S second #define MP make_pair #define PUB push_back #define POB pop_back #define pieprzu ios_base::sync_with_stdio(0); #define debugOn 0 #define debug(a,b) if (debugOn) cout << a << ": " << b << endl; const int INF = 1000000001; const double EPS = 10e-9; const int MAXN = 100000; vi t[MAXN + 5]; char inputColors[MAXN + 5]; char outputColors[MAXN + 5]; int n = 0; bool vis[MAXN + 5]; int path[MAXN + 5]; void cleanup() { FOR (i, 0, n) { t[i].clear(); vis[i] = 0; } } void read() { scanf("%d", &n); scanf("%s", inputColors); scanf("%s", outputColors); int a, b; FOR (i, 1, n) { scanf("%d %d", &a, &b); --a; --b; t[a].PUB(b); t[b].PUB(a); } } int getColorsHash(char *colors) { int colorsHash = 0; FOR (i, 0, n) { if (colors[i] == '0') { colorsHash |= 1; } else { colorsHash |= 2; } if (colorsHash == 3) { return colorsHash; } } return colorsHash; } bool containsThreeDegVertex() { FOR (i, 0, n) { if (Size(t[i]) > 2) { return true; } } return false; } int getFirstVertexOnPath() { FOR (i, 0, n) { if (Size(t[i]) == 1) { return i; } } return -1; } int getNext(int v) { FOREACH (w, t[v]) { if (!vis[w]) { return w; } } return -1; } void preparePath() { int idx = 0; for (int v = getFirstVertexOnPath(); v != -1; v = getNext(v)) { path[idx++] = v; vis[v] = 1; } } int countDifferentParts(char *colors) { int cnt = 1; FOR (i, 1, n) { if (colors[path[i]] != colors[path[i - 1]]) { ++cnt; } } return cnt; } bool solvePath() { if (n == 1) { return inputColors[0] == outputColors[0]; } preparePath(); int cntInput = countDifferentParts(inputColors); int cntOutput = countDifferentParts(outputColors); int mxAllowedOutputParts = cntInput - (inputColors[path[0]] != outputColors[path[0]] ? 1 : 0) - (inputColors[path[n - 1]] != outputColors[path[n - 1]] ? 1 : 0); return cntOutput <= mxAllowedOutputParts; } bool noChanges() { FOR (i, 0, n) { if (inputColors[i] != outputColors[i]) { return false; } } return true; } bool containsNeighborsOfTheSameColor() { FOR (v, 0, n) { int color = outputColors[v]; FOREACH (w, t[v]) { if (outputColors[w] == color) { return true; } } } return false; } bool solve() { if (noChanges()) { return true; } int inputColorsHash = getColorsHash(inputColors); int outputColorsHash = getColorsHash(outputColors); if (inputColorsHash < 3) { debug("one color in input", inputColorsHash - 1); debug("output colors hash", outputColorsHash); return inputColorsHash == outputColorsHash; } else if (outputColorsHash < 3) { debug("multiple colors in input but one color in output", outputColorsHash - 1); return true; } else if (containsThreeDegVertex()) { debug("tree contains three deg vertex", -1); return containsNeighborsOfTheSameColor(); } else { debug("tree is a path", -1); return solvePath(); } } void rob(int test) { cleanup(); read(); bool result = solve(); if (result) { printf("TAK\n"); } else { printf("NIE\n"); } } int main() { int test = 1; scanf("%d", &test); FORE (i, 1, test) rob(i); return 0; } |