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Problem Link: http://lightoj.com/volume_showproblem.php?problem=1180&language=english&type=pdf
I have read in a blog that this particular problem involves dynamic programming with binary search. Someone kind enough please provide me an explanation on how to solve this problem using the mentioned topics.
I think this should work: let's say you use binary search on the answer; when you have time limit fixed, you are able to know how many subprojects of type A and B the i-th programmer can solve. Then, with the time fixed, you do dp[i][j] — the maximum number of subprojects of type B that can be solved considering the programmers from 1 to i and having solved j subprojects of type A; if dp[n][m] >= m, then it means the fixed time is valid and otherwise it isn't.