File size: 4,717 Bytes
1fd0050 | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 | #include <bits/stdc++.h>
using namespace std;
static const int64_t MAXQ = 50000;
struct Node {
long long val;
int i, j;
bool operator<(const Node& other) const {
if (val != other.val) return val > other.val; // min-heap by default
if (i != other.i) return i > other.i;
return j > other.j;
}
};
struct NodeMax {
long long val;
int i, j;
bool operator<(const NodeMax& other) const {
if (val != other.val) return val < other.val; // max-heap
if (i != other.i) return i < other.i;
return j < other.j;
}
};
int n;
long long k;
long long queries_used = 0;
long long ask(int x, int y) {
cout << "QUERY " << x << " " << y << "\n" << flush;
long long v;
if (!(cin >> v)) {
// If interactor fails, return 0 to avoid UB
exit(0);
}
queries_used++;
return v;
}
long long solve_bfs_small_k(long long K) {
vector<vector<char>> vis(n + 2, vector<char>(n + 2, 0));
priority_queue<Node> pq; // min-heap via custom operator
long long v = ask(1, 1);
vis[1][1] = 1;
pq.push({v, 1, 1});
for (long long t = 1; t < K; ++t) {
Node cur = pq.top(); pq.pop();
int i = cur.i, j = cur.j;
if (i + 1 <= n && !vis[i + 1][j]) {
long long nv = ask(i + 1, j);
vis[i + 1][j] = 1;
pq.push({nv, i + 1, j});
}
if (j + 1 <= n && !vis[i][j + 1]) {
long long nv = ask(i, j + 1);
vis[i][j + 1] = 1;
pq.push({nv, i, j + 1});
}
}
return pq.top().val;
}
long long solve_bfs_small_m(long long M) {
vector<vector<char>> vis(n + 2, vector<char>(n + 2, 0));
priority_queue<NodeMax> pq; // max-heap
long long v = ask(n, n);
vis[n][n] = 1;
pq.push({v, n, n});
for (long long t = 1; t < M; ++t) {
NodeMax cur = pq.top(); pq.pop();
int i = cur.i, j = cur.j;
if (i - 1 >= 1 && !vis[i - 1][j]) {
long long nv = ask(i - 1, j);
vis[i - 1][j] = 1;
pq.push({nv, i - 1, j});
}
if (j - 1 >= 1 && !vis[i][j - 1]) {
long long nv = ask(i, j - 1);
vis[i][j - 1] = 1;
pq.push({nv, i, j - 1});
}
}
return pq.top().val;
}
long long solve_row_merge_k(long long K) {
priority_queue<Node> pq; // min-heap
for (int i = 1; i <= n; ++i) {
long long v = ask(i, 1);
pq.push({v, i, 1});
}
for (long long t = 1; t < K; ++t) {
Node cur = pq.top(); pq.pop();
int i = cur.i, j = cur.j;
if (j + 1 <= n) {
long long nv = ask(i, j + 1);
pq.push({nv, i, j + 1});
}
}
return pq.top().val;
}
long long solve_row_merge_m(long long M) {
priority_queue<NodeMax> pq; // max-heap
for (int i = 1; i <= n; ++i) {
long long v = ask(i, n);
pq.push({v, i, n});
}
for (long long t = 1; t < M; ++t) {
NodeMax cur = pq.top(); pq.pop();
int i = cur.i, j = cur.j;
if (j - 1 >= 1) {
long long nv = ask(i, j - 1);
pq.push({nv, i, j - 1});
}
}
return pq.top().val;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
if (!(cin >> n >> k)) {
return 0;
}
long long total = 1LL * n * n;
long long m = total - k + 1;
// Predict query counts for strategies
auto safe_mul = [](long long a, long long b) -> long long {
if (a == 0 || b == 0) return 0;
if (a > (LLONG_MAX / b)) return LLONG_MAX / 2;
return a * b;
};
long long pred_bfs_k = 1 + safe_mul(2, (k > 0 ? (k - 1) : 0));
long long pred_bfs_m = 1 + safe_mul(2, (m > 0 ? (m - 1) : 0));
long long pred_merge_k = n + (k > 0 ? (k - 1) : 0);
long long pred_merge_m = n + (m > 0 ? (m - 1) : 0);
// Choose the strategy with minimal predicted queries
int strategy = 0;
long long best_pred = LLONG_MAX;
vector<pair<int, long long>> options = {
{1, pred_bfs_k}, // BFS from min side
{2, pred_bfs_m}, // BFS from max side
{3, pred_merge_k}, // Row merge from min side
{4, pred_merge_m} // Row merge from max side
};
for (auto &op : options) {
if (op.second < best_pred) {
best_pred = op.second;
strategy = op.first;
}
}
long long ans = 0;
if (strategy == 1) {
ans = solve_bfs_small_k(k);
} else if (strategy == 2) {
ans = solve_bfs_small_m(m);
} else if (strategy == 3) {
ans = solve_row_merge_k(k);
} else {
ans = solve_row_merge_m(m);
}
cout << "DONE " << ans << "\n" << flush;
return 0;
} |