はてぶで数式を書く

動的計画法のアレを書いてて数式がはてぶで書けたらいいなと思ったらどうやらTexが書けるようで
k's diary様のサイトを参考にしました↓
TeXで数式をはてなブログに表示する - k's diary

TeXのコマンドで数式の表示
\sum_{i=0}^n x_i

DP\left\[k\right\]\left\[n\right\] = \displaystyle\sum_{(s∈S)} (DP\left\[k-1\right\]\left\[n\right\] \times DP\left\[k-1\right\]\left\[s\right\] \times EloRate(n,s)) 


DP\left[k\right]\left[n\right] = \displaystyle\sum_{(s∈S)} (DP\left[k-1\right]\left[n\right] \times DP\left[k-1\right]\left[s\right] \times EloRate(n,s))



dp\left[left\right]\left[right\right] = 0 (left = 0 \land right = 0)
\\
>自分のターンのとき\\
dp\left[left\right]\left[right\right]  = max\{dp\left[left\right]\left[right-1\right] + b\left[B-right+1\right] ,dp\left[left-1\right]\left[right\right] + a\left[A-left+1\right]\} (left \neq 0 \land right \neq 0 のとき)\\
dp\left[left\right]\left[right\right]  = dp\left[left\right]\left[right-1\right] + b\left[B-right+1\right] (left = 0のとき)\\
dp\left[left\right]\left[right\right]  = dp\left[left-1\right]\left[right\right] + a\left[A-left+1\right] (right = 0のとき)\\
>相手のターンのとき\\
dp\left[left\right]\left[right\right]  = min\{dp\left[left\right]\left[right-1\right],dp\left[left-1\right]\left[right\right] \}(left \neq 0 \land right \neq 0 のとき)\\
dp\left[left\right]\left[right\right]  = dp\left[left\right]\left[right-1\right](left = 0のとき)\\
dp\left[left\right]\left[right\right]  = dp\left[left-1\right]\left[right\right](right = 0のとき)\\

>自分のターンのとき\\
dp\left\[left\right\]\left\[right\right\]  = max\{dp\left\[left\right\]\left\[right-1\right\] + b\left\[B-right+1\right\] ,dp\left\[left-1\right\]\left\[right\right\] + a\left\[A-left+1\right\]\} (left \neq 0 \land right \neq 0 のとき)\\
dp\left\[left\right\]\left\[right\right\]  = dp\left\[left\right\]\left\[right-1\right\] + b\left\[B-right+1\right\] (left = 0のとき)\\
dp\left\[left\right\]\left\[right\right\]  = dp\left\[left-1\right\]\left\[right\right\] + a\left\[A-left+1\right\] (right = 0のとき)\\
>相手のターンのとき\\
dp\left\[left\right\]\left\[right\right\]  = min\{dp\left\[left\right\]\left\[right-1\right\],dp\left\[left-1\right\]\left\[right\right\] \}(left \neq 0 \land right \neq 0 のとき)\\
dp\left\[left\right\]\left\[right\right\]  = dp\left\[left\right\]\left\[right-1\right\](left = 0のとき)\\
dp\left\[left\right\]\left\[right\right\]  = dp\left\[left-1\right\]\left\[right\right\](right = 0のとき)\\

配列の括弧の表示が面倒ですね...