Mathematically solved via Nim-sum (XOR). The AI always wins from a winning position. · Perfectly Solved
Your turn
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Heap Configuration
Heaps:
Nim Analysis
Nim-Sum (XOR)—
Position—
Total Sticks—
Heaps Remaining—
XOR = ?
Session Stats
Games0
You Win0
AI Wins0
Win Rate—
Algorithm
Theory: Sprague-Grundy (1935) Rule: Nim-sum = XOR of all heaps Win condition: Leave opponent with XOR=0 Strategy: Find heap where
heap XOR nimsum < heap Complexity: O(n) per move Variant: Normal play (last takes wins)