Implement matrix multiplication and fast exponentiation
Quick Overview
This question evaluates competency in matrix multiplication, modular arithmetic, and exponentiation algorithms as applied to large-scale numeric computations such as sequence generation.
WeRide
Oct 2, 2025, 12:00 AM
Software Engineer
Technical Screen
Coding & Algorithms
3
0
1)
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An × m -
Bm × p
C = A × B``n × p
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MODMOD
2) Exponentiation by Squaring
x k MOD
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x^k -
x^k mod MOD -
O(log k) -
k = 0``x = 0
3)
n (n ≥ 0) n F(n)
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F(0)=0, F(1)=1 -
F(n)=F(n-1)+F(n-2) -
2×2O(log n) -
MOD
/
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multiply(A, B) -> C -
pow(x, k, MOD=None) -> value -
fib(n, MOD=None) -> value
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n10^9DP