## DMOPC '19 Contest 2 P2 - Squares

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Points: 5
Time limit: 3.0s
Memory limit: 64M

Author:
Problem type
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Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pascal, Perl, PHP, Pike, Prolog, Python, Racket, Ruby, Rust, Scala, Scheme, Sed, Swift, TCL, Text, Turing, VB, Zig

You are given an grid of squares. Each square contains a number , , the cost to travel through that square. You are starting at the most top-left square. At each turn you may choose to move down or right but not both. Find the minimum cost it would take you to travel to the most bottom-right square.

In all tests,

#### Input Specification

The first line contains two integers, and , the dimensions of the grid of squares ( rows and columns).
The next lines each contains integers, , cost to travel through that square in the grid.

#### Output Specification

Output on a single line, the minimum sum of costs to travel from the most top-left square to the most bottom-right square.

#### Sample Input

3 4
3 1 2 4
9 8 7 6
2 8 9 2

#### Sample Output

18

#### Explanation for Sample Output

We can take the path , which gives us the sum of . There are no paths that yield a smaller sum.