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authorPasha <pasha@member.fsf.org>2023-01-27 00:54:07 +0000
committerPasha <pasha@member.fsf.org>2023-01-27 00:54:07 +0000
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tree920cc189130f1e98f252283fce94851443641a6d /glpk-5.0/examples/zebra.mod
parentec4ae3c2b5cb0e83fb667f14f832ea94f68ef075 (diff)
downloadoneapi-master.tar.gz
oneapi-master.tar.bz2
simplex-glpk with modified glpk for fpgaHEADmaster
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+/* ZEBRA, Who Owns the Zebra? */
+
+/* Written in GNU MathProg by Andrew Makhorin <mao@gnu.org> */
+
+########################################################################
+# The Zebra Puzzle is a well-known logic puzzle.
+#
+# It is often called "Einstein's Puzzle" or "Einstein's Riddle"
+# because it is said to have been invented by Albert Einstein as a boy,
+# with the common claim that Einstein said "only 2 percent of the
+# world's population can solve". It is also sometimes attributed to
+# Lewis Carroll. However, there is no known evidence for Einstein's or
+# Carroll's authorship.
+#
+# There are several versions of this puzzle. The version below is
+# quoted from the first known publication in Life International
+# magazine on December 17, 1962.
+#
+# 1. There are five houses.
+# 2. The Englishman lives in the red house.
+# 3. The Spaniard owns the dog.
+# 4. Coffee is drunk in the green house.
+# 5. The Ukrainian drinks tea.
+# 6. The green house is immediately to the right of the ivory house.
+# 7. The Old Gold smoker owns snails.
+# 8. Kools are smoked in the yellow house.
+# 9. Milk is drunk in the middle house.
+# 10. The Norwegian lives in the first house.
+# 11. The man who smokes Chesterfields lives in the house next to the
+# man with the fox.
+# 12. Kools are smoked in the house next to the house where the horse
+# is kept.
+# 13. The Lucky Strike smoker drinks orange juice.
+# 14. The Japanese smokes Parliaments.
+# 15. The Norwegian lives next to the blue house.
+#
+# Now, who drinks water? Who owns the zebra?
+#
+# In the interest of clarity, it must be added that each of the five
+# houses is painted a different color, and their inhabitants are of
+# different national extractions, own different pets, drink different
+# beverages and smoke different brands of American cigarettes. One
+# other thing: In statement 6, right means your right.
+#
+# (From Wikipedia, the free encyclopedia.)
+########################################################################
+
+set HOUSE := { 1..5 };
+
+set COLOR := { "blue", "green", "ivory", "red", "yellow" };
+
+set NATIONALITY := { "Englishman", "Japanese", "Norwegian", "Spaniard",
+ "Ukranian" };
+
+set DRINK := { "coffee", "milk", "orange_juice", "tea", "water" };
+
+set SMOKE := { "Chesterfield", "Kools", "Lucky_Strike", "Old_Gold",
+ "Parliament" };
+
+set PET := { "dog", "fox", "horse", "snails", "zebra" };
+
+var color{HOUSE, COLOR}, binary;
+c1{h in HOUSE}: sum{c in COLOR} color[h,c] = 1;
+c2{c in COLOR}: sum{h in HOUSE} color[h,c] = 1;
+
+var nationality{HOUSE, NATIONALITY}, binary;
+n1{h in HOUSE}: sum{n in NATIONALITY} nationality[h,n] = 1;
+n2{n in NATIONALITY}: sum{h in HOUSE} nationality[h,n] = 1;
+
+var drink{HOUSE, DRINK}, binary;
+d1{h in HOUSE}: sum{d in DRINK} drink[h,d] = 1;
+d2{d in DRINK}: sum{h in HOUSE} drink[h,d] = 1;
+
+var smoke{HOUSE, SMOKE}, binary;
+s1{h in HOUSE}: sum{s in SMOKE} smoke[h,s] = 1;
+s2{s in SMOKE}: sum{h in HOUSE} smoke[h,s] = 1;
+
+var pet{HOUSE, PET}, binary;
+p1{h in HOUSE}: sum{p in PET} pet[h,p] = 1;
+p2{p in PET}: sum{h in HOUSE} pet[h,p] = 1;
+
+/* the Englishman lives in the red house */
+f2{h in HOUSE}: nationality[h,"Englishman"] = color[h,"red"];
+
+/* the Spaniard owns the dog */
+f3{h in HOUSE}: nationality[h,"Spaniard"] = pet[h,"dog"];
+
+/* coffee is drunk in the green house */
+f4{h in HOUSE}: drink[h,"coffee"] = color[h,"green"];
+
+/* the Ukrainian drinks tea */
+f5{h in HOUSE}: nationality[h,"Ukranian"] = drink[h,"tea"];
+
+/* the green house is immediately to the right of the ivory house */
+f6{h in HOUSE}:
+ color[h,"green"] = if h = 1 then 0 else color[h-1,"ivory"];
+
+/* the Old Gold smoker owns snails */
+f7{h in HOUSE}: smoke[h,"Old_Gold"] = pet[h,"snails"];
+
+/* Kools are smoked in the yellow house */
+f8{h in HOUSE}: smoke[h,"Kools"] = color[h,"yellow"];
+
+/* milk is drunk in the middle house */
+f9: drink[3,"milk"] = 1;
+
+/* the Norwegian lives in the first house */
+f10: nationality[1,"Norwegian"] = 1;
+
+/* the man who smokes Chesterfields lives in the house next to the man
+ with the fox */
+f11{h in HOUSE}:
+ (1 - smoke[h,"Chesterfield"]) +
+ (if h = 1 then 0 else pet[h-1,"fox"]) +
+ (if h = 5 then 0 else pet[h+1,"fox"]) >= 1;
+
+/* Kools are smoked in the house next to the house where the horse is
+ kept */
+f12{h in HOUSE}:
+ (1 - smoke[h,"Kools"]) +
+ (if h = 1 then 0 else pet[h-1,"horse"]) +
+ (if h = 5 then 0 else pet[h+1,"horse"]) >= 1;
+
+/* the Lucky Strike smoker drinks orange juice */
+f13{h in HOUSE}: smoke[h,"Lucky_Strike"] = drink[h,"orange_juice"];
+
+/* the Japanese smokes Parliaments */
+f14{h in HOUSE}: nationality[h,"Japanese"] = smoke[h,"Parliament"];
+
+/* the Norwegian lives next to the blue house */
+f15{h in HOUSE}:
+ (1 - nationality[h,"Norwegian"]) +
+ (if h = 1 then 0 else color[h-1,"blue"]) +
+ (if h = 5 then 0 else color[h+1,"blue"]) >= 1;
+
+solve;
+
+printf "\n";
+printf "HOUSE COLOR NATIONALITY DRINK SMOKE PET\n";
+for {h in HOUSE}
+{ printf "%5d", h;
+ printf{c in COLOR: color[h,c]} " %-6s", c;
+ printf{n in NATIONALITY: nationality[h,n]} " %-11s", n;
+ printf{d in DRINK: drink[h,d]} " %-12s", d;
+ printf{s in SMOKE: smoke[h,s]} " %-12s", s;
+ printf{p in PET: pet[h,p]} " %-6s", p;
+ printf "\n";
+}
+printf "\n";
+
+end;