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codeforces Fence Problem solution div 2 | codeforces problem for beginner

 codeforces Fence Problem solution div 2-

This Problem is totally based on a property of quadrilateral before going to solution it is recommended that try this problem yourself first.

Problem Statement-

A. Fence
time limit per test
1 second
memory limit per test
256 megabytes
standard input
standard output

Yura is tasked to build a closed fence in shape of an arbitrary non-degenerate simple quadrilateral. He's already got three straight fence segments with known lengths ab, and c. Now he needs to find out some possible integer length d of the fourth straight fence segment so that he can build the fence using these four segments. In other words, the fence should have a quadrilateral shape with side lengths equal to abc, and d. Help Yura, find any possible length of the fourth side.

A non-degenerate simple quadrilateral is such a quadrilateral that no three of its corners lie on the same line, and it does not cross itself.


The first line contains a single integer t — the number of test cases (1t1000). The next t lines describe the test cases.

Each line contains three integers ab, and c — the lengths of the three fence segments (1a,b,c109).


For each test case print a single integer d — the length of the fourth fence segment that is suitable for building the fence. If there are multiple answers, print any. We can show that an answer always exists.

1 2 3
12 34 56

We can build a quadrilateral with sides 1234.

We can build a quadrilateral with sides 12345642.

codeforces problem for beginner

Solution -

This Problem required a prerequisite about the property of a quadrilateral that is if you are given a three side of a quadrilateral let say a,b,c then it is sure that 4th side of the quadrilateral is smaller then a+b+c.

and this should hold true for all side of the quadrilateral. means
  • a<b+c+d
  • b<a+c+d
  • c<a+b+d
  • d<a+b+c
so by using this property we can print (a+b+c-1) as our ans because there can be multiple ans of this question and we have to print any one of them.
You can print another answer too which satisfy the above 4 conditions.

Code of this Problem-


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