#include <bits/stdc++.h>
using namespace std;
void dfs(int c, int p, vector<vector<int>>& graph, string& act, string& need, bool& ok){
for (auto& child : graph[c]){
if (child != p){
if (need[c-1] == need[child-1])
ok = true;
dfs(child, c, graph, act, need, ok);
}
}
}
void solve(){
int n;
cin >> n;
string act, need;
cin >> act;
cin >> need;
vector<bool> need_is(2), act_is(2);
for (int i = 0; i < n; i++){
act_is[act[i] - '0'] = true;
need_is[need[i] - '0'] = true;
}
vector<vector<int>> graph(n+1);
vector<int> edges(n+1);
int a, b;
for (int i = 0; i < n-1; i++){
cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
edges[a]++;
edges[b]++;
}
if (act == need){
cout << "TAK" << "\n";
return;
}
if ((need_is[0] == true && act_is[0] == false) || (need_is[1] == true && act_is[1] == false)){
cout << "NIE" << "\n";
return;
}
int curr = -1;
for (int i = 1; i <= n; i++){
if (edges[i] == 1)
curr = i;
if (edges[i] >= 3){
int was0 = 0, was1 = 0;
for (auto& child : graph[i]){
was0 |= (need[child-1] == '0');
was1 |= (need[child-1] == '1');
}
if ((was0 && was1) || ((was0 && need[i] == 0) || (was1 && need[i] == 1))){
cout << "TAK" << "\n";
return;
}
}
}
for (int i = 1; i <= n; i++){
if (edges[i] >= 3){
bool ok = false;
dfs(i, -1, graph, act, need, ok);
cout << ((ok) ? "TAK" : "NIE") << "\n";
return;
}
}
vector<int> tab_a(n), tab_n(n);
queue<int> ones, zeros;
vector<bool> seen(n+1);
for (int i = 0; true; i++){
tab_a[i] = act[curr-1] - '0';
tab_n[i] = need[curr-1] - '0';
if (act[curr-1] == '0')
zeros.push(i);
else
ones.push(i);
if (graph[curr].size() == 1 && seen[graph[curr][0]])
break;
seen[curr] = true;
curr = ((seen[graph[curr][0]]) ? graph[curr][1] : graph[curr][0]);
}
int all_0 = -1, all_1 = -1;
for (int i = 0; i < n; i++){
if (tab_n[i] == 0){
while (zeros.size() > 0 && all_1 >= zeros.front())
zeros.pop();
if (zeros.size() == 0){
cout << "NIE" << "\n";
return;
}
all_0 = zeros.front();
}
else{
while (ones.size() > 0 && all_0 >= ones.front())
ones.pop();
if (ones.size() == 0){
cout << "NIE" << "\n";
return;
}
all_1 = ones.front();
}
}
cout << "TAK" << "\n";
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int t;
cin >> t;
while (t){
solve();
t--;
}
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 | #include <bits/stdc++.h> using namespace std; void dfs(int c, int p, vector<vector<int>>& graph, string& act, string& need, bool& ok){ for (auto& child : graph[c]){ if (child != p){ if (need[c-1] == need[child-1]) ok = true; dfs(child, c, graph, act, need, ok); } } } void solve(){ int n; cin >> n; string act, need; cin >> act; cin >> need; vector<bool> need_is(2), act_is(2); for (int i = 0; i < n; i++){ act_is[act[i] - '0'] = true; need_is[need[i] - '0'] = true; } vector<vector<int>> graph(n+1); vector<int> edges(n+1); int a, b; for (int i = 0; i < n-1; i++){ cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); edges[a]++; edges[b]++; } if (act == need){ cout << "TAK" << "\n"; return; } if ((need_is[0] == true && act_is[0] == false) || (need_is[1] == true && act_is[1] == false)){ cout << "NIE" << "\n"; return; } int curr = -1; for (int i = 1; i <= n; i++){ if (edges[i] == 1) curr = i; if (edges[i] >= 3){ int was0 = 0, was1 = 0; for (auto& child : graph[i]){ was0 |= (need[child-1] == '0'); was1 |= (need[child-1] == '1'); } if ((was0 && was1) || ((was0 && need[i] == 0) || (was1 && need[i] == 1))){ cout << "TAK" << "\n"; return; } } } for (int i = 1; i <= n; i++){ if (edges[i] >= 3){ bool ok = false; dfs(i, -1, graph, act, need, ok); cout << ((ok) ? "TAK" : "NIE") << "\n"; return; } } vector<int> tab_a(n), tab_n(n); queue<int> ones, zeros; vector<bool> seen(n+1); for (int i = 0; true; i++){ tab_a[i] = act[curr-1] - '0'; tab_n[i] = need[curr-1] - '0'; if (act[curr-1] == '0') zeros.push(i); else ones.push(i); if (graph[curr].size() == 1 && seen[graph[curr][0]]) break; seen[curr] = true; curr = ((seen[graph[curr][0]]) ? graph[curr][1] : graph[curr][0]); } int all_0 = -1, all_1 = -1; for (int i = 0; i < n; i++){ if (tab_n[i] == 0){ while (zeros.size() > 0 && all_1 >= zeros.front()) zeros.pop(); if (zeros.size() == 0){ cout << "NIE" << "\n"; return; } all_0 = zeros.front(); } else{ while (ones.size() > 0 && all_0 >= ones.front()) ones.pop(); if (ones.size() == 0){ cout << "NIE" << "\n"; return; } all_1 = ones.front(); } } cout << "TAK" << "\n"; } int main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t; while (t){ solve(); t--; } return 0; } |
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