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#include "testlib.h"
#include <bits/stdc++.h>
using namespace std;
struct UnionFind {
int n;
vector<int> p; // negative size for root, parent otherwise
UnionFind(int n = 0): n(n), p(n, -1) {}
int find(int x) {
if (p[x] < 0) return x;
return p[x] = find(p[x]);
}
bool unite(int a, int b) {
a = find(a); b = find(b);
if (a == b) return false;
if (-p[a] < -p[b]) swap(a, b);
p[a] += p[b];
p[b] = a;
return true;
}
bool same(int a, int b) { return find(a) == find(b); }
int size(int x) { return -p[find(x)]; }
};
// Function now takes testlib streams
static long long compute_score(InStream& inf, InStream& ouf) {
// Read input using inf
long long N = inf.readLong();
long long T = inf.readLong();
vector<string> rows(N);
for (long long i = 0; i < N; i++) {
rows[i] = inf.readToken();
if ((long long)rows[i].size() != N) quitf(_fail, "row length mismatch at row %lld", i);
}
// No fin.close() needed
// Parse tiles
auto hexval = [](char c) -> int {
if ('0' <= c && c <= '9') return c - '0';
if ('a' <= c && c <= 'f') return 10 + (c - 'a');
if ('A' <= c && c <= 'F') return 10 + (c - 'A');
return -1;
};
vector<vector<int>> tiles(N, vector<int>(N, 0));
long long bi = -1, bj = -1;
for (long long i = 0; i < N; i++) {
for (long long j = 0; j < N; j++) {
int v = hexval(rows[i][j]);
if (v < 0) quitf(_fail, "invalid hex at (%lld,%lld)", i, j);
tiles[i][j] = v;
if (v == 0) { bi = i; bj = j; }
}
}
if (bi == -1) quitf(_fail, "no empty tile found");
// Read output (moves) using ouf
string moves;
try {
moves = ouf.readToken(); // Reads the single block of moves, trimming whitespace.
} catch (...) {
// Handle empty output (which is valid)
moves = "";
}
ouf.seekEof(); // Ensure no extra output
// No fou.close() needed or whitespace removal loop
// from mapping: for position (i,j), store original (i0,j0)
vector<vector<pair<long long,long long>>> from(N, vector<pair<long long,long long>>(N));
for (long long i = 0; i < N; i++) for (long long j = 0; j < N; j++) from[i][j] = {i, j};
auto apply_move = [&](char c, long long turn, long long &ci, long long &cj) {
long long di = 0, dj = 0;
if (c == 'L') { di = 0; dj = -1; }
else if (c == 'U') { di = -1; dj = 0; }
else if (c == 'R') { di = 0; dj = 1; }
else if (c == 'D') { di = 1; dj = 0; }
else {
quitf(_wa, "illegal move: %c (turn %lld)", c, turn);
}
long long ni = ci + di, nj = cj + dj;
if (ni < 0 || ni >= N || nj < 0 || nj >= N) {
quitf(_wa, "illegal move: %c (turn %lld)", c, turn);
}
auto f1 = from[ci][cj];
auto f2 = from[ni][nj];
from[ni][nj] = f1;
from[ci][cj] = f2;
ci = ni; cj = nj;
};
long long turn = 0;
long long ci = bi, cj = bj;
for (char c : moves) {
apply_move(c, turn, ci, cj);
turn++;
}
if (turn > T) {
quitf(_wa, "too many moves");
}
// Reconstruct current tiles with mapping
vector<vector<int>> cur(N, vector<int>(N, 0));
for (long long i = 0; i < N; i++) {
for (long long j = 0; j < N; j++) {
auto pr = from[i][j];
cur[i][j] = tiles[pr.first][pr.second];
}
}
// Build graph via UnionFind
UnionFind uf((int)(N * N));
vector<char> tree(N * N, 1); // true initially
auto id = [N](long long i, long long j) { return (int)(i * N + j); };
for (long long i = 0; i < N; i++) {
for (long long j = 0; j < N; j++) {
if (i + 1 < N) {
if ((cur[i][j] & 8) != 0 && (cur[i + 1][j] & 2) != 0) {
int a = uf.find(id(i, j));
int b = uf.find(id(i + 1, j));
if (a == b) {
tree[a] = 0;
} else {
char t = tree[a] && tree[b];
uf.unite(a, b);
int r = uf.find(a);
tree[r] = t;
}
}
}
if (j + 1 < N) {
if ((cur[i][j] & 4) != 0 && (cur[i][j + 1] & 1) != 0) {
int a = uf.find(id(i, j));
int b = uf.find(id(i, j + 1));
if (a == b) {
tree[a] = 0;
} else {
char t = tree[a] && tree[b];
uf.unite(a, b);
int r = uf.find(a);
tree[r] = t;
}
}
}
}
}
int max_tree = -1;
int max_size = -1;
for (long long i = 0; i < N; i++) {
for (long long j = 0; j < N; j++) {
if (cur[i][j] != 0) {
int r = uf.find(id(i, j));
if (tree[r]) {
int sz = uf.size(id(i, j));
if (sz > max_size) {
max_size = sz;
max_tree = id(i, j);
}
}
}
}
}
long long sizeLargest = (max_tree == -1) ? 0LL : (long long)uf.size(max_tree);
long long totalTiles = N * N - 1;
long long score;
if (sizeLargest == totalTiles) {
double val = 500000.0 * (1.0 + (double)(T - turn) / (double)T);
score = llround(val);
} else {
double val = 500000.0 * (double)sizeLargest / (double)totalTiles;
score = llround(val);
}
return score;
}
int main(int argc, char* argv[]) {
registerTestlibCmd(argc, argv);
// No longer read argv[1] or argv[2]
long long score = compute_score(inf, ouf); // Pass testlib streams
long long baseline_value = ans.readLong();
long long best_value = ans.readLong();
double score_ratio = max(0.0, min(1.0, (double)(score - baseline_value) / (best_value - baseline_value)));
double unbounded_ratio = max(0.0, (double)(score - baseline_value) / (best_value - baseline_value));
quitp(score_ratio, "Value: %lld. Ratio: %.4f, RatioUnbounded: %.4f", score, score_ratio, unbounded_ratio);
}