I've tried all test cases from uDebug and some random test case but could not find out wrong answer.
Is there any corner cases, which i've been not taking?
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I've tried all test cases from uDebug and some random test case but could not find out wrong answer.
Is there any corner cases, which i've been not taking?
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Not sure what your solution is or why are you taking max but i guess the solution should look something like this :
$$$dp[val][cnt] = \displaystyle\sum_{x=1}^{val} dp[val-x][cnt-1]$$$ with base case $$$dp[0][0] = 1$$$
Where $$$dp[i][j]$$$ means the number of ways to get sum $$$i$$$ with exactly $$$j$$$ coins. You can answer all the other types using these dp values.