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#include "testlib.h"
#include <bits/stdc++.h>
using namespace std;
struct InputData {
int N;
int si, sj;
vector<string> c;
};
int main(int argc, char* argv[]) {
registerTestlibCmd(argc, argv);
// Read input
InputData in;
in.N = inf.readInt();
in.si = inf.readInt();
in.sj = inf.readInt();
in.c.resize(in.N);
for (int i = 0; i < in.N; i++) {
in.c[i] = inf.readToken();
if ((int)in.c[i].size() != in.N) {
quitf(_wa, "Invalid input line length");
}
}
// Read output: allow empty output, but not more than one token
string out;
if (ouf.seekEof()) {
out = "";
} else {
out = ouf.readToken();
if (!ouf.seekEof()) {
quitf(_wa, "Too Many Output");
}
}
// Simulate route
int pi = in.si, pj = in.sj;
long long length = 0;
vector<pair<int,int>> ps;
ps.emplace_back(pi, pj);
for (char c : out) {
int di = 0, dj = 0;
if (c == 'U') { di = -1; dj = 0; }
else if (c == 'D') { di = 1; dj = 0; }
else if (c == 'L') { di = 0; dj = -1; }
else if (c == 'R') { di = 0; dj = 1; }
else {
// Illegal character
string msg = "Illegal output: ";
msg.push_back(c);
quitf(_wa, "%s", msg.c_str());
}
pi += di;
pj += dj;
if (pi < 0 || pi >= in.N || pj < 0 || pj >= in.N || in.c[pi][pj] == '#') {
quitf(_wa, "Visiting an obstacle");
}
length += (in.c[pi][pj] - '0');
ps.emplace_back(pi, pj);
}
// Compute visibility
vector<vector<bool>> vis(in.N, vector<bool>(in.N, false));
auto markVisibilityFrom = [&](int ci, int cj) {
// Up
for (int i = ci; i >= 0; --i) {
if (in.c[i][cj] == '#') break;
vis[i][cj] = true;
}
// Down
for (int i = ci; i < in.N; ++i) {
if (in.c[i][cj] == '#') break;
vis[i][cj] = true;
}
// Left
for (int j = cj; j >= 0; --j) {
if (in.c[ci][j] == '#') break;
vis[ci][j] = true;
}
// Right
for (int j = cj; j < in.N; ++j) {
if (in.c[ci][j] == '#') break;
vis[ci][j] = true;
}
};
for (auto &p : ps) markVisibilityFrom(p.first, p.second);
// Check return to start
if (ps.back().first != in.si || ps.back().second != in.sj) {
quitf(_wa, "You have to go back to the starting point");
}
// Compute score
long long num = 0, den = 0;
for (int i = 0; i < in.N; i++) {
for (int j = 0; j < in.N; j++) {
if (in.c[i][j] != '#') {
den++;
if (vis[i][j]) num++;
}
}
}
double score = 1e4 * (double)num / (double)den;
if (num == den) {
// length should be > 0 if full coverage is achieved
if (length <= 0) {
quitf(_wa, "Invalid length for full coverage");
}
score += 1e7 * (double)in.N / (double)length;
}
long long finalScore = llround(score);
long long baseline_value = ans.readLong();
long long best_value = ans.readLong();
double score_ratio = max(0.0, min(1.0, (double)(finalScore - baseline_value) / (best_value - baseline_value)));
double unbounded_ratio = max(0.0, (double)(finalScore - baseline_value) / (best_value - baseline_value));
quitp(score_ratio, "Value: %lld. Ratio: %.4f, RatioUnbounded: %.4f", finalScore, score_ratio, unbounded_ratio);
}