Created
February 6, 2018 07:36
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Float number and operators -
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For example, given the array [1, 12, -3], the maximum number 33 can be found using 1 - 12 * (-3), since all operators have flat preference, so 1 - 12 * (-3) will be handled from left to right, first operation is 1 - 12 with value -11, and then second operation is -11 * (-3) = 33. | |
1 12 | |
13 | |
-11 | |
12 | |
1/12 | |
13*-3 | |
13/-3 | |
13 - -3 | |
13 + -3 | |
[1, 12, -3] | |
4 number | |
for each number,you have 4 options with -3 | |
when you get maximum,you have to get 16 numbers | |
double evaluateMaximize(float[] terms) { // [1, 12, -3], 33, first two numbers 1 - 12 = -11 | |
int N = terms.length; | |
if (N > 16) | |
throw new IllegalArgumentException("Too complex for this solution"); | |
double[] intemediate = new float[1 << (2 * N)]; | |
int iInterm = 0; | |
double maximized = 0; | |
intermediate[iInterm++] = terms[0]; | |
for (int iT = 1; iT < N; iT++) { | |
int iMaxInterm = iInterm - 1; | |
double m = 0; // | |
for (int iPrev = iMaxInterm; iPrev >= 0; iPrev--) { //<-- | |
double prev = intermediate[iPrev]; | |
intermediate[iPrev * 4 + 0] = prev * terms[iT]; | |
intermediate[iPrev * 4 + 1] = prev / terms[iT]; | |
intermediate[iPrev * 4 + 2] = prev - terms[iT]; | |
intermediate[iPrev * 4 + 3] = prev + terms[iT]; | |
if (iT != N - 1) // skip if not the last term | |
continue; | |
m = Math.max(m, intermediate[iPrev * 4 + 3]); | |
m = Math.max(m, intermediate[iPrev * 4 + 2]); | |
m = Math.max(m, intermediate[iPrev * 4 + 1]); | |
m = Math.max(m, intermediate[iPrev * 4 + 0]); | |
} | |
maximized = m; | |
iInterm *= 4; | |
} | |
return maximized; | |
} | |
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