#include <algorithm>
#include <stdio.h>
#include <vector>
bool isColorsSame(const std::vector<bool> &inputColor, const std::vector<bool> &outputColor, const int n)
{
for (int i = 1; i <= n; ++i)
if (inputColor[i] != outputColor[i])
return false;
return true;
}
int countColors(const std::vector<bool> &color, const int n)
{
bool zeroColor{false}, oneColor{false};
for (int i = 1; i <= n; ++i)
{
zeroColor = zeroColor || !color[i];
oneColor = oneColor || color[i];
}
return zeroColor + oneColor;
}
int countMixedEdge(const std::vector<bool> &color, const std::vector<std::pair<int, int>> &edges)
{
int sum{0};
for (const auto &[a, b] : edges)
if (color[a] != color[b])
sum++;
return sum;
}
bool solve(
const std::vector<bool> &inputColor,
const std::vector<bool> &outputColor,
const std::vector<std::pair<int, int>> &edges,
const std::vector<int> &count,
const int n)
{
if (isColorsSame(inputColor, outputColor, n))
return true;
{
const auto inputColors = countColors(inputColor, n);
const auto outputColors = countColors(outputColor, n);
if (inputColors < outputColors || (inputColors == 1 && outputColors == 1))
return false;
}
if (2 < *std::max_element(count.cbegin(), count.cend()))
{
for (const auto &[a, b] : edges)
if (outputColor[a] == outputColor[b])
return true;
return false;
}
else
{
const int inputMixedEdge = countMixedEdge(inputColor, edges);
const int outputMixedEdge = countMixedEdge(outputColor, edges);
if (inputMixedEdge == outputMixedEdge)
{
int lowest{1};
for (int i = 1; i <= n; ++i)
if (count[i] == 1)
{
lowest = i;
break;
}
return inputColor[lowest] == outputColor[lowest];
}
else
{
return outputMixedEdge <= inputMixedEdge;
}
}
}
int main()
{
int t, n, a, b;
char color[100001];
scanf("%d", &t);
for (int i = 1; i <= t; ++i)
{
scanf("%d", &n);
std::vector<bool> inputColor;
std::vector<bool> outputColor;
std::vector<int> count;
std::vector<std::pair<int, int>> edges;
inputColor.resize(n + 1);
outputColor.resize(n + 1);
count.resize(n + 1);
scanf("%s", color);
for (int i = 0; i < n; ++i)
inputColor[i + 1] = color[i] == '1';
scanf("%s", color);
for (int i = 0; i < n; ++i)
outputColor[i + 1] = color[i] == '1';
for (int i = 1; i <= n - 1; ++i)
{
scanf("%d %d", &a, &b);
edges.push_back({a, b});
count[a]++;
count[b]++;
}
if (solve(inputColor, outputColor, edges, count, n))
printf("TAK\n");
else
printf("NIE\n");
}
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 | #include <algorithm> #include <stdio.h> #include <vector> bool isColorsSame(const std::vector<bool> &inputColor, const std::vector<bool> &outputColor, const int n) { for (int i = 1; i <= n; ++i) if (inputColor[i] != outputColor[i]) return false; return true; } int countColors(const std::vector<bool> &color, const int n) { bool zeroColor{false}, oneColor{false}; for (int i = 1; i <= n; ++i) { zeroColor = zeroColor || !color[i]; oneColor = oneColor || color[i]; } return zeroColor + oneColor; } int countMixedEdge(const std::vector<bool> &color, const std::vector<std::pair<int, int>> &edges) { int sum{0}; for (const auto &[a, b] : edges) if (color[a] != color[b]) sum++; return sum; } bool solve( const std::vector<bool> &inputColor, const std::vector<bool> &outputColor, const std::vector<std::pair<int, int>> &edges, const std::vector<int> &count, const int n) { if (isColorsSame(inputColor, outputColor, n)) return true; { const auto inputColors = countColors(inputColor, n); const auto outputColors = countColors(outputColor, n); if (inputColors < outputColors || (inputColors == 1 && outputColors == 1)) return false; } if (2 < *std::max_element(count.cbegin(), count.cend())) { for (const auto &[a, b] : edges) if (outputColor[a] == outputColor[b]) return true; return false; } else { const int inputMixedEdge = countMixedEdge(inputColor, edges); const int outputMixedEdge = countMixedEdge(outputColor, edges); if (inputMixedEdge == outputMixedEdge) { int lowest{1}; for (int i = 1; i <= n; ++i) if (count[i] == 1) { lowest = i; break; } return inputColor[lowest] == outputColor[lowest]; } else { return outputMixedEdge <= inputMixedEdge; } } } int main() { int t, n, a, b; char color[100001]; scanf("%d", &t); for (int i = 1; i <= t; ++i) { scanf("%d", &n); std::vector<bool> inputColor; std::vector<bool> outputColor; std::vector<int> count; std::vector<std::pair<int, int>> edges; inputColor.resize(n + 1); outputColor.resize(n + 1); count.resize(n + 1); scanf("%s", color); for (int i = 0; i < n; ++i) inputColor[i + 1] = color[i] == '1'; scanf("%s", color); for (int i = 0; i < n; ++i) outputColor[i + 1] = color[i] == '1'; for (int i = 1; i <= n - 1; ++i) { scanf("%d %d", &a, &b); edges.push_back({a, b}); count[a]++; count[b]++; } if (solve(inputColor, outputColor, edges, count, n)) printf("TAK\n"); else printf("NIE\n"); } return 0; } |
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