M-kun is a brilliant air traffic controller.

On the display of his radar, there are N airplanes numbered 1, 2, ..., N, all flying at the same altitude.
Each of the airplanes flies at a constant speed of 0.1 per second in a constant direction. The current coordinates of the airplane numbered i are (X_i, Y_i), and the direction of the airplane is as follows:

* if U_i is `U`, it flies in the positive y direction;
* if U_i is `R`, it flies in the positive x direction;
* if U_i is `D`, it flies in the negative y direction;
* if U_i is `L`, it flies in the negative x direction.



To help M-kun in his work, determine whether there is a pair of airplanes that will collide with each other if they keep flying as they are now.
If there is such a pair, find the number of seconds after which the first collision will happen.
We assume that the airplanes are negligibly small so that two airplanes only collide when they reach the same coordinates simultaneously.

Constraints

* 1 \leq N \leq 200000
* 0 \leq X_i, Y_i \leq 200000
* U_i is `U`, `R`, `D`, or `L`.
* The current positions of the N airplanes, (X_i, Y_i), are all distinct.
* N, X_i, and Y_i are integers.

Input

Input is given from Standard Input in the following format:


N
X_1 Y_1 U_1
X_2 Y_2 U_2
X_3 Y_3 U_3
:
X_N Y_N U_N


Output

If there is a pair of airplanes that will collide with each other if they keep flying as they are now, print an integer representing the number of seconds after which the first collision will happen.
If there is no such pair, print `SAFE`.

Examples

Input

2
11 1 U
11 47 D


Output

230


Input

4
20 30 U
30 20 R
20 10 D
10 20 L


Output

SAFE


Input

8
168 224 U
130 175 R
111 198 D
121 188 L
201 116 U
112 121 R
145 239 D
185 107 L


Output

100
import static java.lang.Math.abs;
import static java.lang.Math.min;
import static java.util.Comparator.comparingLong;

import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.InputMismatchException;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.NoSuchElementException;

public class Main {
    void solve(MyScanner in, MyWriter out) {
        int n = in.nextInt();
        var planes = new Plane[n];
        for (int i = 0; i < n; i++) {
            long x = in.nextLong();
            long y = in.nextLong();
            char u = in.nextChar();
            planes[i] = new Plane(x, y, u);
        }
        long ans = Long.MAX_VALUE;
        for (int i = 0; i < 4; i++) {
            var downUp = new HashMap<Long, List<Plane>>();
            var rightUp = new HashMap<Long, List<Plane>>();
            for (Plane p : planes) {
                if (p.u == 'D' || p.u == 'U') {
                    downUp.computeIfAbsent(p.x, k -> new ArrayList<>()).add(p);
                }
                if (p.u == 'R' || p.u == 'U') {
                    rightUp.computeIfAbsent(p.x + p.y, k -> new ArrayList<>())
                           .add(p);
                }
            }
            for (List<Plane> l : downUp.values()) {
                l.sort(comparingLong(Plane::y));
                long time = Long.MAX_VALUE;
                for (int j = 1; j < l.size(); j++) {
                    Plane prev = l.get(j - 1);
                    Plane next = l.get(j);
                    if (prev.u == 'U' && next.u == 'D') {
                        time = min(time, abs(prev.y - next.y) * 5);
                    }
                }
                ans = min(ans, time);
            }
            for (List<Plane> l : rightUp.values()) {
                l.sort(comparingLong(Plane::y));
                long time = Long.MAX_VALUE;
                for (int j = 1; j < l.size(); j++) {
                    Plane prev = l.get(j - 1);
                    Plane next = l.get(j);
                    if (prev.u == 'U' && next.u == 'R') {
                        time = min(time, abs(prev.y - next.y) * 10);
                    }
                }
                ans = min(ans, time);
            }
            for (Plane p : planes) {
                rotateRight90(p);
            }
        }
        if (ans == Long.MAX_VALUE)
            out.println("SAFE");
        else
            out.println(ans);
    }
    private static final Map<Character, Character> nextDir =
            Map.of('U', 'R', 'D', 'L', 'L', 'U', 'R', 'D');
    private static void rotateRight90(Plane p) {
        long nx = p.y;
        long ny = -p.x;
        p.x = nx;
        p.y = ny;
        p.u = nextDir.get(p.u);
    }
    private static final class Plane {
        long x;
        long y;
        char u;
        Plane(long x, long y, char u) {
            this.x = x;
            this.y = y;
            this.u = u;
        }
        long y() {
            return y;
        }
    }
    public static void main(String[] args) {
        MyWriter w = new MyWriter(System.out);
        new Main().solve(new MyScanner(System.in), w);
        w.flush();
    }
    static final class MyScanner {
        static final int BUFFER_SIZE = 8192;
        private final InputStream in;
        private final byte[] buffer = new byte[BUFFER_SIZE];
        private int point;
        private int readLength;

        MyScanner(InputStream in) {
            this.in = in;
        }
        private int readByte() {
            if (point < readLength) {
                int result = buffer[point];
                point += 1;
                return result;
            }
            try {
                readLength = in.read(buffer);
            } catch (IOException e) {
                throw new AssertionError(null, e);
            }
            if (readLength == -1) {
                return -1;
            }
            point = 1;
            return buffer[0];
        }
        private static boolean isVisibleChar(int c) {
            return 33 <= c && c <= 126;
        }
        char nextChar() {
            int c = readByte();
            while (!(c == -1 || isVisibleChar(c))) {
                c = readByte();
            }
            if (c == -1) {
                throw new NoSuchElementException();
            }
            return (char)c;
        }
        String next() {
            return next(16);
        }
        String next(int n) {
            int c = readByte();
            while (!(c == -1 || isVisibleChar(c))) {
                c = readByte();
            }
            if (c == -1) {
                throw new NoSuchElementException();
            }
            StringBuilder b = new StringBuilder(n);
            do {
                b.append((char)c);
                c = readByte();
            } while (c != -1 && isVisibleChar(c));
            return b.toString();
        }
        long nextLong() {
            int c = readByte();
            while (!(c == -1 || isVisibleChar(c))) {
                c = readByte();
            }
            if (c == -1) {
                throw new NoSuchElementException();
            }
            boolean minus = false;
            long limit = -Long.MAX_VALUE;
            if (c == '-') {
                minus = true;
                limit = Long.MIN_VALUE;
                c = readByte();
            }
            long n = 0L;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                if (n < limit / 10L) {
                    throw new InputMismatchException();
                }
                n *= 10L;
                int digit = c - '0';
                if (n < limit + digit) {
                    throw new InputMismatchException();
                }
                n -= digit;
                c = readByte();
            } while (c != -1 && isVisibleChar(c));
            return minus ? n : -n;
        }
        int nextInt() {
            long n = nextLong();
            if (n < Integer.MIN_VALUE || n > Integer.MAX_VALUE) {
                throw new InputMismatchException();
            }
            return (int)n;
        }
        double nextDouble() {
            return Double.parseDouble(next());
        }
        int[] nextIntArray(int n) {
            int[] result = new int[n];
            for (int i = 0; i < n; i++) {
                result[i] = nextInt();
            }
            return result;
        }
        long[] nextLongArray(int n) {
            long[] result = new long[n];
            for (int i = 0; i < n; i++) {
                result[i] = nextLong();
            }
            return result;
        }
        char[] nextCharArray(int n) {
            char[] result = new char[n];
            for (int i = 0; i < n; i++) {
                result[i] = nextChar();
            }
            return result;
        }
        char[][] next2dCharArray(int h, int w) {
            char[][] result = new char[h][w];
            for (int i = 0; i < h; i++) {
                for (int j = 0; j < w; j++) {
                    result[i][j] = nextChar();
                }
            }
            return result;
        }
        int[][] nextVerticalIntArrays(int arrayCount, int arrayLength) {
            int[][] result = new int[arrayCount][arrayLength];
            for (int i = 0; i < arrayLength; i++) {
                for (int j = 0; j < arrayCount; j++) {
                    result[j][i] = nextInt();
                }
            }
            return result;
        }
        long[][] nextVerticalLongArrays(int arrayCount, int arrayLength) {
            long[][] result = new long[arrayCount][arrayLength];
            for (int i = 0; i < arrayLength; i++) {
                for (int j = 0; j < arrayCount; j++) {
                    result[j][i] = nextLong();
                }
            }
            return result;
        }
        char[][] nextVerticalCharArrays(int arrayCount, int arrayLength) {
            char[][] result = new char[arrayCount][arrayLength];
            for (int i = 0; i < arrayLength; i++) {
                for (int j = 0; j < arrayCount; j++) {
                    result[j][i] = nextChar();
                }
            }
            return result;
        }
        List<String> nextStringList(int n) {
            var result = new ArrayList<String>(n);
            for (int i = 0; i < n; i++) {
                result.add(next());
            }
            return result;
        }
        List<Integer> nextIntList(int n) {
            var result = new ArrayList<Integer>(n);
            for (int i = 0; i < n; i++) {
                result.add(nextInt());
            }
            return result;
        }
        List<Long> nextLongList(int n) {
            var result = new ArrayList<Long>(n);
            for (int i = 0; i < n; i++) {
                result.add(nextLong());
            }
            return result;
        }
    }
    static final class MyWriter extends PrintWriter {
        MyWriter(OutputStream out) {
            super(out);
        }
        void println(int[] x) {
            println(x, " ");
        }
        void println(int[] x, String delimiter) {
            if (x.length > 0) {
                print(x[0]);
                for (int i = 1; i < x.length; i++) {
                    print(delimiter);
                    print(x[i]);
                }
            }
            println();
        }
        void println(long[] x) {
            println(x, " ");
        }
        void println(long[] x, String delimiter) {
            if (x.length > 0) {
                print(x[0]);
                for (int i = 1; i < x.length; i++) {
                    print(delimiter);
                    print(x[i]);
                }
            }
            println();
        }
        void println(Iterable<?> iterable) {
            println(iterable, " ");
        }
        void println(Iterable<?> iterable, String delimiter) {
            Iterator<?> i = iterable.iterator();
            if (i.hasNext()) {
                print(i.next());
                while (i.hasNext()) {
                    print(delimiter);
                    print(i.next());
                }
            }
            println();
        }
        void printLines(int[] x) {
            println(x, System.lineSeparator());
        }
        void printLines(long[] x) {
            println(x, System.lineSeparator());
        }
        void printLines(Iterable<?> iterable) {
            println(iterable, System.lineSeparator());
        }
    }
}
