From d40f3c140cca1d7affa131b02bd066924c85ad6c Mon Sep 17 00:00:00 2001
From: domonik <schdruzzi@gmail.com>
Date: Thu, 23 Nov 2023 09:46:17 +0100
Subject: [PATCH] fixed formulae

---
 exercise-sheet-4.Rmd | 14 ++++++++++++--
 1 file changed, 12 insertions(+), 2 deletions(-)

diff --git a/exercise-sheet-4.Rmd b/exercise-sheet-4.Rmd
index 1c94989..4c0d427 100644
--- a/exercise-sheet-4.Rmd
+++ b/exercise-sheet-4.Rmd
@@ -209,8 +209,18 @@ Fill the dynamic programming matrices $D_{i,j}$, $Q_{i,j}$ and $P_{i,j}$ using t
 ##### Hide
 
 
+##### Hint1: Init Formulae
 
-##### Hint1: Formulae
+\begin{align}
+  D_{0,0} &= 0 \\
+  D_{0, j} &= g(j) &\forall j: 0 < j \leq n \\
+  D_{i, 0} &= g(j) &\forall i: 0 < i \leq n \\
+  Q_{i, 0} &= -\infty &\forall i: 0 < i \leq n \\
+  P_{0, j} &= -\infty &\forall j: 0 < j \leq n 
+\end{align}
+
+
+##### Hint2: Formulae
 
 \begin{align}
 g(k) &= \alpha + k * \beta \\
@@ -236,7 +246,7 @@ P_{i,j} &= max
 \end{align}
 
 
-##### Hint2: Add the missing values
+##### Hint3: Add the missing values
 
 
 ```{r, include=FALSE}