From: Martin Mares <mj@ucw.cz>
Date: Wed, 23 Jan 2008 12:41:56 +0000 (+0100)
Subject: Fix off-by-1 problems in the definition of the distractor.
X-Git-Tag: printed~276
X-Git-Url: http://mj.ucw.cz/gitweb/?a=commitdiff_plain;ds=sidebyside;h=448499891a5c7e5c085ec300fd4b7f06c420e406;p=saga.git

Fix off-by-1 problems in the definition of the distractor.
---

diff --git a/mst.tex b/mst.tex
index fe6c3e3..fcaf24d 100644
--- a/mst.tex
+++ b/mst.tex
@@ -624,8 +624,8 @@ where each edge $v_iv_{i+1}$ has its weight equal to the number of trailing zero
 representation of the number~$i$. The vertex $v_1$ is called a~\df{base} of the distractor.
 
 \rem
-Alternatively, we can use a recursive definition: $D_0$ is a single vertex, $D_k$ consists
-of two disjoint copies of $D_{k-1}$ joined by an edge of weight~$k$.
+Alternatively, we can use a recursive definition: $D_0$ is a single vertex, $D_{k+1}$ consists
+of two disjoint copies of~$D_k$ joined by an edge of weight~$k$.
 
 \figure{distractor.eps}{\epsfxsize}{A~distractor $D_3$ and its evolution (bold edges are contracted)}
 
diff --git a/pic/distractor.eps b/pic/distractor.eps
index df027b0..9dded6f 100644
--- a/pic/distractor.eps
+++ b/pic/distractor.eps
@@ -1,7 +1,7 @@
 %!PS-Adobe-3.0 EPSF-3.0
 %%Title: distractor
 %%Creator: VRR  (http://vrr.ucw.cz/)
-%%CreationDate: Mon Jan 21 13:40:52 2008
+%%CreationDate: Wed Jan 23 13:39:47 2008
 %%Pages: 1
 %%BoundingBox: 0 0 299 102
 %%DocumentData: Clean7Bit
@@ -3714,10 +3714,10 @@ cleartomark
 
 
 %%EndResource
-/F1 /CMR10 def
-/F2 /CMMI10 def
-/F3 /CMR7 def
-/F4 /CMSY10 def
+/F1 /CMMI10 def
+/F2 /CMR7 def
+/F3 /CMSY10 def
+/F4 /CMR10 def
 %%EndSetup
 
 %%Page: distractor 1
@@ -4024,38 +4024,38 @@ np 35.000000 5.000000 mt 45.000000 5.000000 lt st
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-[1.000000 0.000000 0.000000 1.000000 -20.585938 7.000000] concat
-<31> -0.296875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 -20.734375 7.000000] concat
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-[1.000000 0.000000 0.000000 1.000000 -10.695312 7.000000] concat
-<32> -0.171875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 -10.585938 7.000000] concat
+<31> -0.296875 0.000000 3.514598 F4 fsd sms
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-[1.000000 0.000000 0.000000 1.000000 -0.622573 7.000000] concat
-<31> -0.296875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 -0.771010 7.000000] concat
+<30> -0.140625 0.078125 3.514598 F4 fsd sms
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-[1.000000 0.000000 0.000000 1.000000 9.265625 7.000000] concat
-<33> -0.140625 0.078125 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 9.304688 7.000000] concat
+<32> -0.171875 0.000000 3.514598 F4 fsd sms
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 0.000000 0.000000 0.000000 sclr
-[1.000000 0.000000 0.000000 1.000000 19.554707 7.000000] concat
-<31> -0.296875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 19.406270 7.000000] concat
+<30> -0.140625 0.078125 3.514598 F4 fsd sms
 gr
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 0.000000 0.000000 0.000000 sclr
-[1.000000 0.000000 0.000000 1.000000 29.100052 7.000000] concat
-<32> -0.171875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 29.209428 7.000000] concat
+<31> -0.296875 0.000000 3.514598 F4 fsd sms
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-[1.000000 0.000000 0.000000 1.000000 39.515027 7.000000] concat
-<31> -0.296875 0.000000 3.514598 F1 fsd sms
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+<30> -0.140625 0.078125 3.514598 F4 fsd sms
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@@ -4207,18 +4207,18 @@ gs
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-[1.000000 0.000000 0.000000 1.000000 -10.695312 -3.000000] concat
-<32> -0.171875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 -10.585938 -3.000000] concat
+<31> -0.296875 0.000000 3.514598 F4 fsd sms
 gr
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 0.000000 0.000000 0.000000 sclr
-[1.000000 0.000000 0.000000 1.000000 9.241694 -3.000000] concat
-<33> -0.140625 0.078125 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 9.280756 -3.000000] concat
+<32> -0.171875 0.000000 3.514598 F4 fsd sms
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-[1.000000 0.000000 0.000000 1.000000 29.414644 -3.000000] concat
-<32> -0.171875 0.000000 3.514598 F1 fsd sms
+[1.000000 0.000000 0.000000 1.000000 29.524020 -3.000000] concat
+<31> -0.296875 0.000000 3.514598 F4 fsd sms
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@@ -4320,77 +4320,77 @@ st
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+[1.000000 0.000000 0.000000 1.000000 9.304688 -13.000000] concat
+<32> -0.171875 0.000000 3.514598 F4 fsd sms
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-<44> -0.125000 0.574059 3.514598 F2 fsd sms
-<33> 2.784792 0.046875 2.460219 F3 fsd sms
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-<44> 3.506713 0.527184 3.514598 F2 fsd sms
-<32> 6.416505 0.000000 2.460219 F3 fsd sms
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-<31> 6.416505 0.000000 2.460219 F3 fsd sms
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-<33> 2.784792 0.046875 2.460219 F3 fsd sms
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-<44> 3.506713 0.527184 3.514598 F2 fsd sms
-<32> 6.416505 0.000000 2.460219 F3 fsd sms
+<19> -0.203125 0.527184 3.514598 F3 fsd sms
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-<44> 3.506713 0.527184 3.514598 F2 fsd sms
-<31> 6.416505 0.000000 2.460219 F3 fsd sms
+<19> -0.203125 0.527184 3.514598 F3 fsd sms
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 showpage
 
 %%Trailer
 %%DocumentSuppliedResources: procset VrrEPSProcSet
-%%+ font CMR10 CMMI10 CMR7 CMSY10
+%%+ font CMMI10 CMR7 CMSY10 CMR10
 end restore
 %%EOF
diff --git a/pic/distractor.vrr b/pic/distractor.vrr
index 2bda826..7d74d27 100644
--- a/pic/distractor.vrr
+++ b/pic/distractor.vrr
@@ -58,23 +58,23 @@
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diff --git a/pic/hedgehog.eps b/pic/hedgehog.eps
index 2afd373..19b3597 100644
--- a/pic/hedgehog.eps
+++ b/pic/hedgehog.eps
@@ -1,7 +1,7 @@
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 %%Title: hedgehog
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diff --git a/pic/hedgehog.vrr b/pic/hedgehog.vrr
index 7432b5f..3139cfd 100644
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