Re: [問題] 懇請協助設計C語言程式
f(n)=(a+1)^n-(a)^n必為奇數,a,n為自然數
a=1,...1000
n=1,...1000
這個問題如果只是判斷f(n)是否是偶數
那問題就變成只要判斷(a+1)^n、(a)^n的關係
是奇奇（得偶） 奇偶（得奇） 偶偶（得偶） 偶奇（得奇）
所以只要判斷(a+1)^n和(a)^n是否是偶數
要判斷一個數是奇數還是偶數
只要看個位數即可
所以只要利用這關係 (a*b)%n==((a%n)*(b%n))%n
上面關係從 a=b (mod m) ,c=d (mod m)=>ac=bd (mod m)
變形來的
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