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<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[12]"> 1..12 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..33 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %0 %1 %2 </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..2] </args> | ||
<args> x[1..3] </args> | ||
<args> x[2..4] </args> | ||
<args> x[3..5] </args> | ||
<args> x[4..6] </args> | ||
<args> x[5..7] </args> | ||
<args> x[6..8] </args> | ||
<args> x[7..9] </args> | ||
<args> x[8..10] </args> | ||
<args> x[9..11] </args> | ||
<args> x[10..11] x[0] </args> | ||
<args> x[11] x[0..1] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[11]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,37 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[15]"> 1..15 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..65 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..4] </args> | ||
<args> x[1..5] </args> | ||
<args> x[2..6] </args> | ||
<args> x[3..7] </args> | ||
<args> x[4..8] </args> | ||
<args> x[5..9] </args> | ||
<args> x[6..10] </args> | ||
<args> x[7..11] </args> | ||
<args> x[8..12] </args> | ||
<args> x[9..13] </args> | ||
<args> x[10..14] </args> | ||
<args> x[11..14] x[0] </args> | ||
<args> x[12..14] x[0..1] </args> | ||
<args> x[13..14] x[0..2] </args> | ||
<args> x[14] x[0..3] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[14]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,37 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[15]"> 1..15 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..84 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..6] </args> | ||
<args> x[1..7] </args> | ||
<args> x[2..8] </args> | ||
<args> x[3..9] </args> | ||
<args> x[4..10] </args> | ||
<args> x[5..11] </args> | ||
<args> x[6..12] </args> | ||
<args> x[7..13] </args> | ||
<args> x[8..14] </args> | ||
<args> x[9..14] x[0] </args> | ||
<args> x[10..14] x[0..1] </args> | ||
<args> x[11..14] x[0..2] </args> | ||
<args> x[12..14] x[0..3] </args> | ||
<args> x[13..14] x[0..4] </args> | ||
<args> x[14] x[0..5] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[14]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,42 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[20]"> 1..20 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..119 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..6] </args> | ||
<args> x[1..7] </args> | ||
<args> x[2..8] </args> | ||
<args> x[3..9] </args> | ||
<args> x[4..10] </args> | ||
<args> x[5..11] </args> | ||
<args> x[6..12] </args> | ||
<args> x[7..13] </args> | ||
<args> x[8..14] </args> | ||
<args> x[9..15] </args> | ||
<args> x[10..16] </args> | ||
<args> x[11..17] </args> | ||
<args> x[12..18] </args> | ||
<args> x[13..19] </args> | ||
<args> x[14..19] x[0] </args> | ||
<args> x[15..19] x[0..1] </args> | ||
<args> x[16..19] x[0..2] </args> | ||
<args> x[17..19] x[0..3] </args> | ||
<args> x[18..19] x[0..4] </args> | ||
<args> x[19] x[0..5] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[19]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,37 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[15]"> 1..15 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..105 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..9] </args> | ||
<args> x[1..10] </args> | ||
<args> x[2..11] </args> | ||
<args> x[3..12] </args> | ||
<args> x[4..13] </args> | ||
<args> x[5..14] </args> | ||
<args> x[6..14] x[0] </args> | ||
<args> x[7..14] x[0..1] </args> | ||
<args> x[8..14] x[0..2] </args> | ||
<args> x[9..14] x[0..3] </args> | ||
<args> x[10..14] x[0..4] </args> | ||
<args> x[11..14] x[0..5] </args> | ||
<args> x[12..14] x[0..6] </args> | ||
<args> x[13..14] x[0..7] </args> | ||
<args> x[14] x[0..8] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[14]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,42 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[20]"> 1..20 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..155 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..9] </args> | ||
<args> x[1..10] </args> | ||
<args> x[2..11] </args> | ||
<args> x[3..12] </args> | ||
<args> x[4..13] </args> | ||
<args> x[5..14] </args> | ||
<args> x[6..15] </args> | ||
<args> x[7..16] </args> | ||
<args> x[8..17] </args> | ||
<args> x[9..18] </args> | ||
<args> x[10..19] </args> | ||
<args> x[11..19] x[0] </args> | ||
<args> x[12..19] x[0..1] </args> | ||
<args> x[13..19] x[0..2] </args> | ||
<args> x[14..19] x[0..3] </args> | ||
<args> x[15..19] x[0..4] </args> | ||
<args> x[16..19] x[0..5] </args> | ||
<args> x[17..19] x[0..6] </args> | ||
<args> x[18..19] x[0..7] </args> | ||
<args> x[19] x[0..8] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[19]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,42 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[20]"> 1..20 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..195 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..14] </args> | ||
<args> x[1..15] </args> | ||
<args> x[2..16] </args> | ||
<args> x[3..17] </args> | ||
<args> x[4..18] </args> | ||
<args> x[5..19] </args> | ||
<args> x[6..19] x[0] </args> | ||
<args> x[7..19] x[0..1] </args> | ||
<args> x[8..19] x[0..2] </args> | ||
<args> x[9..19] x[0..3] </args> | ||
<args> x[10..19] x[0..4] </args> | ||
<args> x[11..19] x[0..5] </args> | ||
<args> x[12..19] x[0..6] </args> | ||
<args> x[13..19] x[0..7] </args> | ||
<args> x[14..19] x[0..8] </args> | ||
<args> x[15..19] x[0..9] </args> | ||
<args> x[16..19] x[0..10] </args> | ||
<args> x[17..19] x[0..11] </args> | ||
<args> x[18..19] x[0..12] </args> | ||
<args> x[19] x[0..13] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[19]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,52 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[30]"> 1..30 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..345 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..14] </args> | ||
<args> x[1..15] </args> | ||
<args> x[2..16] </args> | ||
<args> x[3..17] </args> | ||
<args> x[4..18] </args> | ||
<args> x[5..19] </args> | ||
<args> x[6..20] </args> | ||
<args> x[7..21] </args> | ||
<args> x[8..22] </args> | ||
<args> x[9..23] </args> | ||
<args> x[10..24] </args> | ||
<args> x[11..25] </args> | ||
<args> x[12..26] </args> | ||
<args> x[13..27] </args> | ||
<args> x[14..28] </args> | ||
<args> x[15..29] </args> | ||
<args> x[16..29] x[0] </args> | ||
<args> x[17..29] x[0..1] </args> | ||
<args> x[18..29] x[0..2] </args> | ||
<args> x[19..29] x[0..3] </args> | ||
<args> x[20..29] x[0..4] </args> | ||
<args> x[21..29] x[0..5] </args> | ||
<args> x[22..29] x[0..6] </args> | ||
<args> x[23..29] x[0..7] </args> | ||
<args> x[24..29] x[0..8] </args> | ||
<args> x[25..29] x[0..9] </args> | ||
<args> x[26..29] x[0..10] </args> | ||
<args> x[27..29] x[0..11] </args> | ||
<args> x[28..29] x[0..12] </args> | ||
<args> x[29] x[0..13] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[29]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,47 @@ | ||
<instance format="XCSP3" type="COP"> | ||
<variables> | ||
<array id="x" note="x[i] is the ith number in the circle" size="[25]"> 1..25 </array> | ||
<var id="z" note="z is the minimal value such that any (circular) subsequence of x of size r is less than or equal to z"> 0..310 </var> | ||
</variables> | ||
<constraints> | ||
<allDifferent note="a permutation is required"> x[] </allDifferent> | ||
<group note="any subsequence of size r must be less than or equal to z"> | ||
<sum> | ||
<list> %... </list> | ||
<condition> (le,z) </condition> | ||
</sum> | ||
<args> x[0..19] </args> | ||
<args> x[1..20] </args> | ||
<args> x[2..21] </args> | ||
<args> x[3..22] </args> | ||
<args> x[4..23] </args> | ||
<args> x[5..24] </args> | ||
<args> x[6..24] x[0] </args> | ||
<args> x[7..24] x[0..1] </args> | ||
<args> x[8..24] x[0..2] </args> | ||
<args> x[9..24] x[0..3] </args> | ||
<args> x[10..24] x[0..4] </args> | ||
<args> x[11..24] x[0..5] </args> | ||
<args> x[12..24] x[0..6] </args> | ||
<args> x[13..24] x[0..7] </args> | ||
<args> x[14..24] x[0..8] </args> | ||
<args> x[15..24] x[0..9] </args> | ||
<args> x[16..24] x[0..10] </args> | ||
<args> x[17..24] x[0..11] </args> | ||
<args> x[18..24] x[0..12] </args> | ||
<args> x[19..24] x[0..13] </args> | ||
<args> x[20..24] x[0..14] </args> | ||
<args> x[21..24] x[0..15] </args> | ||
<args> x[22..24] x[0..16] </args> | ||
<args> x[23..24] x[0..17] </args> | ||
<args> x[24] x[0..18] </args> | ||
</group> | ||
<block class="symmetry-breaking"> | ||
<intension> eq(x[0],1) </intension> | ||
<intension> lt(x[1],x[24]) </intension> | ||
</block> | ||
</constraints> | ||
<objectives> | ||
<minimize> z </minimize> | ||
</objectives> | ||
</instance> |
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