From 75afd2b551bdfb7e4eeb76b4c63b4f00da961f23 Mon Sep 17 00:00:00 2001
From: Yoichi Hirai <i@yoichihirai.com>
Date: Thu, 2 Mar 2017 14:42:54 +0100
Subject: [PATCH 1/2] EIP-100: change the difficulty adjustment factor so that
 it considers existence of ommers

---
 Paper.tex | 8 +++++++-
 1 file changed, 7 insertions(+), 1 deletion(-)

diff --git a/Paper.tex b/Paper.tex
index 8f5190a9..799f606f 100644
--- a/Paper.tex
+++ b/Paper.tex
@@ -464,8 +464,14 @@ \subsubsection{Block Header Validity}
 \diffadjustment \equiv \left\lfloor\frac{{P(H)_H}_d}{2048}\right\rfloor
 \end{equation}
 \begin{equation}
-\homesteadmod \equiv \text{max}\left( 1 - \left\lfloor\frac{H_s - {P(H)_H}_s}{10}\right\rfloor, -99 \right)
+\homesteadmod \equiv \text{max}\left( x - \left\lfloor\frac{H_s - {P(H)_H}_s}{9}\right\rfloor, -99 \right)
 \end{equation}
+\begin{equation*}
+x \equiv \begin{cases}
+1 & \text{if} \, \lVert B_\mathbf{U}\rVert = 0 \\
+2 & \text{otherwise}
+\end{cases}
+\end{equation*}
 \begin{equation}
 \expdiffsymb \equiv \left\lfloor 2^{ \left\lfloor H_i \div 100000 \right\rfloor - 2 } \right\rfloor
 \end{equation}

From 29892b487c1c84dc3382881e12df1a36e20cc5f7 Mon Sep 17 00:00:00 2001
From: Yoichi Hirai <i@yoichihirai.com>
Date: Tue, 21 Mar 2017 17:12:33 +0100
Subject: [PATCH 2/2] EIP-100: ommers of parent should be counted, not the
 direct ommers

---
 Paper.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Paper.tex b/Paper.tex
index 799f606f..58eaeaab 100644
--- a/Paper.tex
+++ b/Paper.tex
@@ -468,7 +468,7 @@ \subsubsection{Block Header Validity}
 \end{equation}
 \begin{equation*}
 x \equiv \begin{cases}
-1 & \text{if} \, \lVert B_\mathbf{U}\rVert = 0 \\
+1 & \text{if} \, \lVert P(H)_\mathbf{U}\rVert = 0 \\
 2 & \text{otherwise}
 \end{cases}
 \end{equation*}