Re: [閒聊] 焚爐比較試算
: n n i
: M_HP*0.888 -M_HP*a%*1.26*Σ0.888 = M_HP*a%*1.26
: i=1
我計算出來的結果跟D大有點不太相同,以下是計算過程:
第一步兩邊同除M_HP
n n i
=> 0.888 -a%*1.26*Σ0.888 =a%*1.26
i=1
n
n i 0.888*(1-0.888 )
其中Σ0.888 = ───────── (等比級數和公式)
i=1 1-0.888
n
n 0.888*(1-0.888 )
=> 0.888 - a%*1.26* ───────── = a%*1.26
1-0.888
^^^^^^^^^^^^^^^^^^^^^^^^^^將這部分移動到右邊
n+1
n 1-0.888
=> 0.888 = a%*1.26* ─────────
1-0.888
n n+1
=> 0.112*0.888 = a%*1.26*(1-0.888 )
n n
=> 0.112*0.888 = a%*1.26-a%*1.26*0.888 *0.888
^^^^^^^^^^^^^^^^^^^^ 將這段移動到左邊
n
=> 0.888 *(0.112+a%*1.26*0.888)=a%*1.26
兩邊同除(0.112+a%*1.26*0.888)
n a%*1.26 1.26*a
=> 0.888 = ─────────── = ─────────
0.112+a%*1.26*0.888 11.2+ 1.1188*a
兩邊取log
0.888
1.26*a
=> n=log ────────
0.888 11.2+ 1.1188*a
m的計算沒辦法再來一次詳細計算了(用BBS打數學符號真難啊)
a
m= log ───────
0.878 12.2+0.878*a
: 插鑽石打怪,需要發動焚爐的次數:
: m m i
: M_HP*0.878 -M_HP*a%*Σ0.878 = M_HP*a%
: i=1
: 分別解n及m:
: 11.25*a
: n=log ─────
: 0.888 1+9.99*a
: a
: m=log ──────
: 0.878 0.112+0.888*a
: 令n=m,求a:
: 用excel規劃幫忙求解,算出a的值為0.010787,
: 也就是說,當CB期間削血量為1.0787%時,兩者會相等,a越大,則插綠寶越好,
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