Problem: We have N points numbered 1 to N arranged in a line in this order.

Takahashi decides to make an undirected graph, using these points as the vertices. In the beginning, the graph has no edge. Takahashi will do M operations to add edges in this graph. The i-th operation is as follows:

* The operation uses integers L_i and R_i between 1 and N (inclusive), and a positive integer C_i. For every pair of integers (s, t) such that L_i \leq s < t \leq R_i, add an edge of length C_i between Vertex s and Vertex t.



The integers L_1, ..., L_M, R_1, ..., R_M, C_1, ..., C_M are all given as input.

Takahashi wants to solve the shortest path problem in the final graph obtained. Find the length of the shortest path from Vertex 1 to Vertex N in the final graph.

Constraints

* 2 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i < R_i \leq N
* 1 \leq C_i \leq 10^9

Input

Input is given from Standard Input in the following format:


N M
L_1 R_1 C_1
:
L_M R_M C_M


Output

Print the length of the shortest path from Vertex 1 to Vertex N in the final graph. If there is no shortest path, print `-1` instead.

Examples

Input

4 3
1 3 2
2 4 3
1 4 6


Output

5


Input

4 2
1 2 1
3 4 2


Output

-1


Input

10 7
1 5 18
3 4 8
1 3 5
4 7 10
5 9 8
6 10 5
8 10 3


Output

28

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

@SuppressWarnings("unused")
public class Main {
    private FastScanner in;
    private PrintWriter out;
    int MOD = (int)1e9+7;
    long ceil(long a, long b){return (a + b - 1) / b;}
    long gcd(long a, long b){return b == 0 ? a : gcd(b, a % b);}
    long lcm(long a, long b){return a / gcd(a, b) * b; /*オーバーフローに注意*/}

    void solve() {
        int N = in.nextInt(), M = in.nextInt();
        int[][] E = new int[M][3];
        for(int i = 0; i < M; i++){
            E[i][0] = in.nextInt();
            E[i][1] = in.nextInt();
            E[i][2] = in.nextInt();
        }
        Arrays.sort(E, (e1, e2)->e1[1] != e2[1] ? Integer.compare(e1[1], e2[1]) : Integer.compare(e1[2], e2[2]));

        /*
        for(int i = 0; i < M; i++){
            out.println(E[i][0] + " " + E[i][1] + " " + E[i][2]);
        }
        */

        long[] dp = new long[N+1];
        SegmentTree seg = new SegmentTree(N+1);
        long INF = Long.MAX_VALUE / 2;
        Arrays.fill(dp, INF);
        dp[1] = 0;
        seg.setPoint(1, 0);
        int idx = 0;
        for(int i = 2; i <= N; i++){
            while(idx < M && E[idx][1] == i){
                dp[i] = Math.min(dp[i], seg.getSegment(E[idx][0], i+1) + E[idx][2]);
                idx++;
            }
            seg.setPoint(i, dp[i]);
        }
        out.println(dp[N] == INF ? "-1" : dp[N]);
    }
    //end solve

    class SegmentTree{
        int n;
        long[] node;

        /*二項演算で使える単位元*/
        private long e = Long.MAX_VALUE / 2;
        //private long e = 0;

        /*結合律が成り立つ、要素同士の二項演算*/
        private long f(long e1, long e2){
            return Math.min(e1, e2); //区間最小値
            //return e1 + e2; //区間和
        }

        /*要素更新用の演算(可換でなくてもよい)*/
        private long g(long nodeVal, long val){
            return val; //更新
            //return nodeVal + val; //加算
        }

        /* 単位元で初期化 */
        public SegmentTree(int sz){
            n = 1;
            while(n < sz) n *= 2;
            node = new long[2*n];
            Arrays.fill(node, e);
        }

        /* 元配列vでセグメント木を初期化 */
        public SegmentTree(long[] v){
            this(v.length);
            for(int i = 0; i < v.length; i++)
                node[i+n] = v[i];
            for(int i = n-1; i > 0; i--)
                node[i] = f(node[2*i+0], node[2*i+1]);
        }

        public long getPoint(int x){
            return node[x + n];
        }

        /* 0-indexed:xの要素をg(node[x], val)に更新 */
        public void setPoint(int x, long val){
            x += n;
            node[x] = g(node[x], val);
            while(x > 1){
                x = x / 2;
                node[x] = f(node[2*x+0], node[2*x+1]);
            }
        }

        /* 指定した区間[L,R)の区間演算の結果を求めるクエリ */
        public long getSegment(int L, int R){
            L += n;
            R += n;
            long resL = e, resR = e;
            while (L < R) {
                if ((L & 1) != 0){
                    resL = f(resL, node[L]);
                    L++;
                }
                if ((R & 1) != 0){
                    --R;
                    resR = f(resR, node[R]);
                }
                L >>= 1;
                R >>= 1;
            }
            return f(resL, resR);
        }
    }

    public static void main(String[] args) {
        new Main().m();
    }


    private void m() {
        in = new FastScanner(System.in);
        out = new PrintWriter(System.out);
        /*
        try {
            String path = "output.txt";
            out = new PrintWriter(new BufferedWriter(new FileWriter(new File(path))));
        }catch (IOException e){
            e.printStackTrace();
        }
        */
        solve();
        out.flush();
        in.close();
        out.close();
    }

    static class FastScanner {
        private Reader input;

        public FastScanner() {this(System.in);}
        public FastScanner(InputStream stream) {this.input = new BufferedReader(new InputStreamReader(stream));}
        public void close() {
            try {
                this.input.close();
            } catch (IOException e) {
                e.printStackTrace();
            }
        }

        public int nextInt() {return (int) nextLong();}

        public long nextLong() {
            try {
                int sign = 1;
                int b = input.read();
                while ((b < '0' || '9' < b) && b != '-' && b != '+') {
                    b = input.read();
                }
                if (b == '-') {
                    sign = -1;
                    b = input.read();
                } else if (b == '+') {
                    b = input.read();
                }
                long ret = b - '0';
                while (true) {
                    b = input.read();
                    if (b < '0' || '9' < b) return ret * sign;
                    ret *= 10;
                    ret += b - '0';
                }
            } catch (IOException e) {
                e.printStackTrace();
                return -1;
            }
        }

        public double nextDouble() {
            try {
                double sign = 1;
                int b = input.read();
                while ((b < '0' || '9' < b) && b != '-' && b != '+') {
                    b = input.read();
                }
                if (b == '-') {
                    sign = -1;
                    b = input.read();
                } else if (b == '+') {
                    b = input.read();
                }
                double ret = b - '0';
                while (true) {
                    b = input.read();
                    if (b < '0' || '9' < b) break;
                    ret *= 10;
                    ret += b - '0';
                }
                if (b != '.') return sign * ret;
                double div = 1;
                b = input.read();
                while ('0' <= b && b <= '9') {
                    ret *= 10;
                    ret += b - '0';
                    div *= 10;
                    b = input.read();
                }
                return sign * ret / div;
            } catch (IOException e) {
                e.printStackTrace();
                return Double.NaN;
            }
        }

        public char nextChar() {
            try {
                int b = input.read();
                while (Character.isWhitespace(b)) {
                    b = input.read();
                }
                return (char) b;
            } catch (IOException e) {
                e.printStackTrace();
                return 0;
            }
        }

        public String nextStr() {
            try {
                StringBuilder sb = new StringBuilder();
                int b = input.read();
                while (Character.isWhitespace(b)) {
                    b = input.read();
                }
                while (b != -1 && !Character.isWhitespace(b)) {
                    sb.append((char) b);
                    b = input.read();
                }
                return sb.toString();
            } catch (IOException e) {
                e.printStackTrace();
                return "";
            }
        }

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

        public int[] nextIntArrayDec(int n) {
            int[] res = new int[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextInt() - 1;
            }
            return res;
        }

        public int[] nextIntArray1Index(int n) {
            int[] res = new int[n + 1];
            for (int i = 0; i < n; i++) {
                res[i + 1] = nextInt();
            }
            return res;
        }

        public long[] nextLongArray(int n) {
            long[] res = new long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong();
            }
            return res;
        }

        public long[] nextLongArrayDec(int n) {
            long[] res = new long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong() - 1;
            }
            return res;
        }

        public long[] nextLongArray1Index(int n) {
            long[] res = new long[n + 1];
            for (int i = 0; i < n; i++) {
                res[i + 1] = nextLong();
            }
            return res;
        }

        public double[] nextDoubleArray(int n) {
            double[] res = new double[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextDouble();
            }
            return res;
        }
    }
}