{"raw_statement":[{"iden":"problem statement","content":"There is an infinitely long street that runs west to east, which we consider as a number line.\nThere are $N$ roadworks scheduled on this street. The $i$\\-th roadwork blocks the point at coordinate $X_i$ from time $S_i - 0.5$ to time $T_i - 0.5$.\n$Q$ people are standing at coordinate $0$. The $i$\\-th person will start the coordinate $0$ at time $D_i$, continue to walk with speed $1$ in the positive direction and stop walking when reaching a blocked point.\nFind the distance each of the $Q$ people will walk."},{"iden":"constraints","content":"*   All values in input are integers.\n*   $1 \\leq N, Q \\leq 2 \\times 10^5$\n*   $0 \\leq S_i < T_i \\leq 10^9$\n*   $1 \\leq X_i \\leq 10^9$\n*   $0 \\leq D_1 < D_2 < ... < D_Q \\leq 10^9$\n*   If $i \\neq j$ and $X_i = X_j$, the intervals $[S_i, T_i)$ and $[S_j, T_j)$ do not overlap."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $Q$\n$S_1$ $T_1$ $X_1$\n$:$\n$S_N$ $T_N$ $X_N$\n$D_1$\n$:$\n$D_Q$"},{"iden":"sample input 1","content":"4 6\n1 3 2\n7 13 10\n18 20 13\n3 4 2\n0\n1\n2\n3\n5\n8"},{"iden":"sample output 1","content":"2\n2\n10\n-1\n13\n-1\n\nThe first person starts coordinate $0$ at time $0$ and stops walking at coordinate $2$ when reaching a point blocked by the first roadwork at time $2$.\nThe second person starts coordinate $0$ at time $1$ and reaches coordinate $2$ at time $3$. The first roadwork has ended, but the fourth roadwork has begun, so this person also stops walking at coordinate $2$.\nThe fourth and sixth persons encounter no roadworks while walking, so they walk forever. The output for these cases is $-1$."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}