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#include "testlib.h" |
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#include <bits/stdc++.h> |
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using namespace std; |
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struct UnionFind { |
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int n; |
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vector<int> p; |
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UnionFind(int n = 0): n(n), p(n, -1) {} |
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int find(int x) { |
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if (p[x] < 0) return x; |
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return p[x] = find(p[x]); |
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} |
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bool unite(int a, int b) { |
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a = find(a); b = find(b); |
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if (a == b) return false; |
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if (-p[a] < -p[b]) swap(a, b); |
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p[a] += p[b]; |
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p[b] = a; |
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return true; |
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} |
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bool same(int a, int b) { return find(a) == find(b); } |
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int size(int x) { return -p[find(x)]; } |
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}; |
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static long long compute_score(InStream& inf, InStream& ouf) { |
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long long N = inf.readLong(); |
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long long T = inf.readLong(); |
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vector<string> rows(N); |
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for (long long i = 0; i < N; i++) { |
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rows[i] = inf.readToken(); |
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if ((long long)rows[i].size() != N) quitf(_fail, "row length mismatch at row %lld", i); |
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} |
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auto hexval = [](char c) -> int { |
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if ('0' <= c && c <= '9') return c - '0'; |
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if ('a' <= c && c <= 'f') return 10 + (c - 'a'); |
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if ('A' <= c && c <= 'F') return 10 + (c - 'A'); |
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return -1; |
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}; |
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vector<vector<int>> tiles(N, vector<int>(N, 0)); |
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long long bi = -1, bj = -1; |
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for (long long i = 0; i < N; i++) { |
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for (long long j = 0; j < N; j++) { |
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int v = hexval(rows[i][j]); |
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if (v < 0) quitf(_fail, "invalid hex at (%lld,%lld)", i, j); |
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tiles[i][j] = v; |
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if (v == 0) { bi = i; bj = j; } |
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} |
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} |
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if (bi == -1) quitf(_fail, "no empty tile found"); |
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string moves; |
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try { |
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moves = ouf.readToken(); |
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} catch (...) { |
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moves = ""; |
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} |
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ouf.seekEof(); |
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vector<vector<pair<long long,long long>>> from(N, vector<pair<long long,long long>>(N)); |
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for (long long i = 0; i < N; i++) for (long long j = 0; j < N; j++) from[i][j] = {i, j}; |
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auto apply_move = [&](char c, long long turn, long long &ci, long long &cj) { |
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long long di = 0, dj = 0; |
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if (c == 'L') { di = 0; dj = -1; } |
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else if (c == 'U') { di = -1; dj = 0; } |
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else if (c == 'R') { di = 0; dj = 1; } |
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else if (c == 'D') { di = 1; dj = 0; } |
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else { |
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quitf(_wa, "illegal move: %c (turn %lld)", c, turn); |
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} |
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long long ni = ci + di, nj = cj + dj; |
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if (ni < 0 || ni >= N || nj < 0 || nj >= N) { |
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quitf(_wa, "illegal move: %c (turn %lld)", c, turn); |
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} |
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auto f1 = from[ci][cj]; |
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auto f2 = from[ni][nj]; |
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from[ni][nj] = f1; |
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from[ci][cj] = f2; |
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ci = ni; cj = nj; |
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}; |
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long long turn = 0; |
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long long ci = bi, cj = bj; |
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for (char c : moves) { |
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apply_move(c, turn, ci, cj); |
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turn++; |
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} |
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if (turn > T) { |
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quitf(_wa, "too many moves"); |
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} |
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vector<vector<int>> cur(N, vector<int>(N, 0)); |
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for (long long i = 0; i < N; i++) { |
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for (long long j = 0; j < N; j++) { |
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auto pr = from[i][j]; |
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cur[i][j] = tiles[pr.first][pr.second]; |
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} |
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} |
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UnionFind uf((int)(N * N)); |
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vector<char> tree(N * N, 1); |
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auto id = [N](long long i, long long j) { return (int)(i * N + j); }; |
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for (long long i = 0; i < N; i++) { |
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for (long long j = 0; j < N; j++) { |
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if (i + 1 < N) { |
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if ((cur[i][j] & 8) != 0 && (cur[i + 1][j] & 2) != 0) { |
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int a = uf.find(id(i, j)); |
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int b = uf.find(id(i + 1, j)); |
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if (a == b) { |
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tree[a] = 0; |
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} else { |
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char t = tree[a] && tree[b]; |
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uf.unite(a, b); |
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int r = uf.find(a); |
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tree[r] = t; |
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} |
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} |
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} |
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if (j + 1 < N) { |
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if ((cur[i][j] & 4) != 0 && (cur[i][j + 1] & 1) != 0) { |
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int a = uf.find(id(i, j)); |
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int b = uf.find(id(i, j + 1)); |
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if (a == b) { |
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tree[a] = 0; |
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} else { |
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char t = tree[a] && tree[b]; |
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uf.unite(a, b); |
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int r = uf.find(a); |
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tree[r] = t; |
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} |
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} |
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} |
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} |
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} |
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int max_tree = -1; |
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int max_size = -1; |
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for (long long i = 0; i < N; i++) { |
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for (long long j = 0; j < N; j++) { |
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if (cur[i][j] != 0) { |
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int r = uf.find(id(i, j)); |
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if (tree[r]) { |
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int sz = uf.size(id(i, j)); |
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if (sz > max_size) { |
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max_size = sz; |
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max_tree = id(i, j); |
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} |
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} |
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} |
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} |
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} |
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long long sizeLargest = (max_tree == -1) ? 0LL : (long long)uf.size(max_tree); |
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long long totalTiles = N * N - 1; |
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long long score; |
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if (sizeLargest == totalTiles) { |
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double val = 500000.0 * (1.0 + (double)(T - turn) / (double)T); |
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score = llround(val); |
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} else { |
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double val = 500000.0 * (double)sizeLargest / (double)totalTiles; |
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score = llround(val); |
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} |
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return score; |
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} |
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int main(int argc, char* argv[]) { |
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registerTestlibCmd(argc, argv); |
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long long score = compute_score(inf, ouf); |
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long long baseline_value = ans.readLong(); |
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long long best_value = ans.readLong(); |
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double score_ratio = max(0.0, min(1.0, (double)(score - baseline_value) / (best_value - baseline_value))); |
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double unbounded_ratio = max(0.0, (double)(score - baseline_value) / (best_value - baseline_value)); |
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quitp(score_ratio, "Value: %lld. Ratio: %.4f, RatioUnbounded: %.4f", score, score_ratio, unbounded_ratio); |
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} |