In a small but very proud high school it was decided to win ACM ICPC. This goal requires to compose as many teams of three as possible, but since there were only 6 students who wished to participate, the decision was to build exactly two teams.

After practice competition, participant number i got a score of ai. Team score is defined as sum of scores of its participants. High school management is interested if it's possible to build two teams with equal scores. Your task is to answer that question.

Input

The single line contains six integers a1, ..., a6 (0 ≤ ai ≤ 1000) — scores of the participants

Output

Print "YES" (quotes for clarity), if it is possible to build teams with equal score, and "NO" otherwise.

You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").

Examples

Input

1 3 2 1 2 1


Output

YES


Input

1 1 1 1 1 99


Output

NO

Note

In the first sample, first team can be composed of 1st, 2nd and 6th participant, second — of 3rd, 4th and 5th: team scores are 1 + 3 + 1 = 2 + 1 + 2 = 5.

In the second sample, score of participant number 6 is too high: his team score will be definitely greater.
import java.io.*;
import java.util.*;

/*
Good, better, best. Never let it rest. 'Til your good is better and your better is best.
 */

public class C {

    // SOLVER
    static void solve() {
        // INPUT OUTPUT
        InputReader in = new InputReader(System.in);
        PrintWriter pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));

        int testCase = 1;
        StringBuilder result = new StringBuilder();
        while (--testCase >= 0)
        /**************************************************************************/ {
            // SOLVE
            int[] scoreOfPerStudents = in.nextIntArray(6);

//            int temp = scoreOfPerStudents[0];
//            for (int i = 0; i < scoreOfPerStudents.length - 1; i++) {
//                pw.print(temp + " ");
//                if (scoreOfPerStudents[i + 1] > scoreOfPerStudents[i]) {
//                    temp += (scoreOfPerStudents[i + 1]);
//                } else if (scoreOfPerStudents[i + 1] < scoreOfPerStudents[i]) {
//                    temp -= (scoreOfPerStudents[i + 1]);
//                } else {
//                    continue;
//                }
//            }
//            if (temp == 0){
//                result.append("YES");
//            } else {
//                result.append("NO");
//            }
            double totalScoredGainedByStudent = 0;
            for (int i = 0; i < scoreOfPerStudents.length; i++) {
                totalScoredGainedByStudent += scoreOfPerStudents[i];
            }
            double halfOfTotalScore = totalScoredGainedByStudent / (1.0 * 2);
            boolean flag = false;
            for (int i = 0; i < 4; i++) {
                for (int k = i + 1; k < 5; k++) {
                    for (int m = k + 1; m < 6; m++) {
                        if (scoreOfPerStudents[i] + scoreOfPerStudents[k] + scoreOfPerStudents[m] == halfOfTotalScore) {
                            flag = true;
                            break;
                        }
                    }
                    if (flag){
                        break;
                    }
                }
                if (flag) {
                    break;
                }
            }
            if (flag){
                result.append("YES");
            } else {
                result.append("NO");
            }
            /*****************************************/
        }
        pw.println(result.toString().trim());
        // *************************************
        {
            pw.close();
        }
    }

    /**************************************************************************
     *************************************************************************/
    // DRIVER CODE
    public static void main(String[] args) {
        solve();
    }

    /*Md. Nazrul Islam*/

    // FAST INPUT
    static class InputReader {

        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;
        private SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int snext() {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars) {
                curChar = 0;
                try {
                    snumChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = snext();
            while (isSpaceChar(c)) {
                c = snext();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = snext();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public long nextLong() {
            int c = snext();
            while (isSpaceChar(c)) {
                c = snext();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = snext();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] nextIntArray(int n) {
            int a[] = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = nextInt();
            }
            return a;
        }

        public String readString() {
            int c = snext();
            while (isSpaceChar(c)) {
                c = snext();
            }
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = snext();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public String nextLine() {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = snext();
            } while (!isEndOfLine(c));
            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}




				  		 		 		 		 							 	  	