File size: 3,721 Bytes
14c9c2b | 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 | #include <bits/stdc++.h>
using namespace std;
const int T = 15;
struct PairXY {
short x = 0, y = 0;
};
unsigned char bitPos[1005][T];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
if (!(cin >> n)) return 0;
if (n == 1) {
cout << 1 << " " << 1 << '\n';
cout.flush();
return 0;
}
int pow3[T + 1];
pow3[0] = 1;
for (int i = 1; i <= T; ++i) pow3[i] = pow3[i - 1] * 3;
int arr_size = pow3[T];
vector<PairXY> arr(arr_size);
mt19937 rng((unsigned)chrono::steady_clock::now().time_since_epoch().count());
// Generate codes for positions with unique difference vectors
for (int i = 1; i <= n; ++i) {
while (true) {
for (int k = 0; k < T; ++k) {
bitPos[i][k] = (unsigned char)(rng() & 1);
}
bool ok = true;
for (int j = 1; j < i && ok; ++j) {
int idx1 = 0, idx2 = 0;
for (int k = 0; k < T; ++k) {
int d1 = (int)bitPos[j][k] - (int)bitPos[i][k]; // s[j] - s[i] => (x=i,y=j)
int d2 = -d1; // s[i] - s[j] => (x=j,y=i)
idx1 = idx1 * 3 + (d1 + 1);
idx2 = idx2 * 3 + (d2 + 1);
}
if (arr[idx1].x != 0 || arr[idx2].x != 0) {
ok = false;
break;
}
}
if (ok) {
for (int j = 1; j < i; ++j) {
int idx1 = 0, idx2 = 0;
for (int k = 0; k < T; ++k) {
int d1 = (int)bitPos[j][k] - (int)bitPos[i][k];
int d2 = -d1;
idx1 = idx1 * 3 + (d1 + 1);
idx2 = idx2 * 3 + (d2 + 1);
}
arr[idx1].x = (short)i; arr[idx1].y = (short)j; // D = s[j]-s[i] => (x=i,y=j)
arr[idx2].x = (short)j; arr[idx2].y = (short)i; // D = s[i]-s[j] => (x=j,y=i)
}
break;
}
}
}
vector<int> posVal(n + 1, -1);
// Process values in pairs (a,b)
for (int val = 1; val + 1 <= n; val += 2) {
int a = val;
int b = val + 1;
int D[T];
for (int k = 0; k < T; ++k) {
cout << 0;
for (int i = 1; i <= n; ++i) {
int v = (bitPos[i][k] ? b : a);
cout << ' ' << v;
}
cout << '\n';
cout.flush();
int score;
if (!(cin >> score)) return 0;
D[k] = score - 1; // D_k = s_k(pos[b]) - s_k(pos[a])
}
int key = 0;
for (int k = 0; k < T; ++k) {
key = key * 3 + (D[k] + 1);
}
PairXY pr = arr[key];
int x = pr.x;
int y = pr.y;
posVal[a] = x;
posVal[b] = y;
}
if (n % 2 == 1) {
int last = n;
vector<char> used(n + 1, 0);
for (int v = 1; v <= n - 1; ++v) {
if (posVal[v] >= 1 && posVal[v] <= n)
used[posVal[v]] = 1;
}
int lastpos = 1;
while (lastpos <= n && used[lastpos]) ++lastpos;
if (lastpos > n) lastpos = 1;
posVal[last] = lastpos;
}
vector<int> perm(n + 1, 0);
for (int v = 1; v <= n; ++v) {
int pos = posVal[v];
if (pos >= 1 && pos <= n) perm[pos] = v;
}
// Fallback (should not be needed)
for (int i = 1; i <= n; ++i) if (perm[i] == 0) perm[i] = 1;
cout << 1;
for (int i = 1; i <= n; ++i) {
cout << ' ' << perm[i];
}
cout << '\n';
cout.flush();
return 0;
} |