gauss

#include <fstream>
#include <cmath>
#include <iomanip>
#include <vector>

using namespace std;

long double EPS = 0.0000000000001;
ifstream cin("linear.in");
ofstream cout("linear.out");

int main() {
    cin.sync_with_stdio(false);
    cout.sync_with_stdio(false);
    int n;
    cin >> n;
    vector< vector<long double> > vv(n, vector<long double>(n + 1));
    vector<int> where(n, -1);
    vector<long double> ans(n, 0.0);
    for (int i = 0; i < n; i++)
        for (int j = 0; j < n + 1; j++)
            cin >> vv[i][j];
    int row = 0;
    for (int col = 0; col < n && row < n; col++) {
        int cur = row;
        for (int i = cur; i < n; i++)
            if (abs(vv[i][col]) > abs(vv[cur][col]))
                cur = i;
        if (abs(vv[cur][col]) < EPS)
            continue;
        for (int i = col; i < n + 1; i++)
            swap(vv[cur][i], vv[row][i]);
        long double d = vv[row][col];
        for (int i = col; i < n + 1; i++)
            vv[row][i] /= d;
        where[col] = row;
        for (int i = row + 1; i < n; i++) {
            long double c = vv[i][col];
            for (int j = col; j < n + 1; j++)
                vv[i][j] -= vv[row][j] * c;
        }
        row++;
    }
    for(int i = row; i < n; i++)
        if (abs(vv[i][n]) > EPS) {
            cout << "impossible";
            return 0;
        }
    for (int i = 0; i < n; i++)
        if (where[i] == -1) {
            cout << "infinity";
            return 0;
        }
    for (int i = n - 1; i > -1; i--) {
        long double c = vv[i][n];
        for (int j = n - 1; j > i; j--)
            c -= ans[j] * vv[i][j];
        ans[i] = c / vv[i][i];
    }
    cout << "single" << endl;
    for (int i = 0; i < n; i++)
        cout << fixed << setprecision(3) << ans[i] << ' ';
    return 0;
}