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96
S2OJ/1909/1909.cpp
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96
S2OJ/1909/1909.cpp
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#include <iostream>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2005;
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int n, a[N][N];
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int gauss() {
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int c, r;
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for (c = r = 1; c <= n; c++) {
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int t = r;
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for (int i = r; i <= n; i++) {
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if (a[i][c]) t = i;
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}
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if (!a[t][c]) continue;
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std::swap(a[t], a[r]);
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for (int i = r + 1; i <= n; i++) {
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if (a[i][c]) {
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for (int j = n + 1; j >= c; j--) {
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a[i][j] ^= a[r][j];
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}
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}
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}
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r++;
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}
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if (r <= n) {
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for (int i = r; i <= n; i++) {
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if (a[i][n + 1]) {
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return -1;
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}
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}
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}
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for (int i = n; i; i--) {
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for (int j = i + 1; j <= n; j++) {
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a[i][n + 1] ^= a[i][j] & a[j][n + 1];
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}
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}
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return 0;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n;
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for (int i = 1, k; i <= n; i++) {
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cin >> k;
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for (int j = 1, x; j <= k; j++) {
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cin >> x;
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a[i][x] = 1;
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}
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if (k % 2) {
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a[i][i] = 1;
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a[i][n + 1] = 1;
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}
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}
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if (gauss() != 0) {
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cout << -1 << endl;
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} else {
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std::vector<int> ans;
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for (int i = 1; i <= n; i++) {
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if (a[i][n + 1]) {
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ans.push_back(i);
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}
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}
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cout << ans.size() << endl;
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for (int x : ans) {
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cout << x << ' ';
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}
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cout << endl;
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}
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return 0;
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}
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