129.54/128.33 MAYBE 129.54/128.33 129.54/128.33 DP problem for innermost termination. 129.54/128.33 P = 129.54/128.33 init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 f16#(I0, I1, I2, I3, I4) -> f16#(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 f13#(I10, I11, I12, I13, I14) -> f16#(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 f10#(I20, I21, I22, I23, I24) -> f16#(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 f8#(I30, I31, I32, I33, I34) -> f16#(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 f7#(I40, I41, I42, I43, I44) -> f16#(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 f5#(I50, I51, I52, I53, I54) -> f16#(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 f5#(I60, I61, I62, I63, I64) -> f16#(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 f5#(I70, I71, I72, I73, I74) -> f16#(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 f5#(I80, I81, I82, I83, I84) -> f16#(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 f15#(I90, I91, I92, I93, I94) -> f5#(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13#(I100, I101, I102, I103, I104) -> f5#(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13#(I110, I111, I112, I113, I114) -> f15#(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13#(I119, I120, I121, I122, I123) -> f15#(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14#(I128, I129, I130, I131, I132) -> f5#(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12#(I138, I139, I140, I141, I142) -> f5#(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11#(I148, I149, I150, I151, I152) -> f5#(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10#(I158, I159, I160, I161, I162) -> f14#(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10#(I167, I168, I169, I170, I171) -> f14#(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7#(I176, I177, I178, I179, I180) -> f13#(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7#(I185, I186, I187, I188, I189) -> f13#(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7#(I194, I195, I196, I197, I198) -> f5#(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7#(I204, I205, I206, I207, I208) -> f12#(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7#(I214, I215, I216, I217, I218) -> f12#(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10#(I224, I225, I226, I227, I228) -> f5#(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8#(I234, I235, I236, I237, I238) -> f5#(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8#(I244, I245, I246, I247, I248) -> f11#(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8#(I254, I255, I256, I257, I258) -> f11#(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9#(I264, I265, I266, I267, I268) -> f5#(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6#(I274, I275, I276, I277, I278) -> f5#(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5#(I284, I285, I286, I287, I288) -> f10#(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5#(I294, I295, I296, I297, I298) -> f10#(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5#(I304, I305, I306, I307, I308) -> f9#(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5#(I314, I315, I316, I317, I318) -> f9#(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5#(I324, I325, I326, I327, I328) -> f8#(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5#(I334, I335, I336, I337, I338) -> f8#(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5#(I344, I345, I346, I347, I348) -> f7#(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5#(I354, I355, I356, I357, I358) -> f7#(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5#(I364, I365, I366, I367, I368) -> f6#(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5#(I374, I375, I376, I377, I378) -> f6#(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5#(I384, I385, I386, I387, I388) -> f5#(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5#(I394, I395, I396, I397, I398) -> f5#(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 f3#(I404, I405, I406, I407, I408) -> f5#(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 f4#(I414, I415, I416, I417, I418) -> f4#(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 f2#(I423, I424, I425, I426, I427) -> f4#(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 f1#(I433, I434, I435, I436, I437) -> f4#(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 f2#(I443, I444, I445, I446, I447) -> f3#(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 f2#(I452, I453, I454, I455, I456) -> f3#(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 f1#(I461, I462, I463, I464, I465) -> f2#(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 f1#(I470, I471, I472, I473, I474) -> f2#(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 R = 129.54/128.33 init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 f16(I0, I1, I2, I3, I4) -> f16(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 f13(I10, I11, I12, I13, I14) -> f16(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 f10(I20, I21, I22, I23, I24) -> f16(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 f8(I30, I31, I32, I33, I34) -> f16(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 f7(I40, I41, I42, I43, I44) -> f16(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 f5(I50, I51, I52, I53, I54) -> f16(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 f5(I60, I61, I62, I63, I64) -> f16(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 f5(I70, I71, I72, I73, I74) -> f16(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 f5(I80, I81, I82, I83, I84) -> f16(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 f15(I90, I91, I92, I93, I94) -> f5(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13(I100, I101, I102, I103, I104) -> f5(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13(I110, I111, I112, I113, I114) -> f15(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13(I119, I120, I121, I122, I123) -> f15(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14(I128, I129, I130, I131, I132) -> f5(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12(I138, I139, I140, I141, I142) -> f5(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11(I148, I149, I150, I151, I152) -> f5(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10(I158, I159, I160, I161, I162) -> f14(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10(I167, I168, I169, I170, I171) -> f14(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7(I176, I177, I178, I179, I180) -> f13(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7(I185, I186, I187, I188, I189) -> f13(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7(I194, I195, I196, I197, I198) -> f5(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7(I204, I205, I206, I207, I208) -> f12(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7(I214, I215, I216, I217, I218) -> f12(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10(I224, I225, I226, I227, I228) -> f5(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8(I234, I235, I236, I237, I238) -> f5(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8(I244, I245, I246, I247, I248) -> f11(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8(I254, I255, I256, I257, I258) -> f11(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9(I264, I265, I266, I267, I268) -> f5(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6(I274, I275, I276, I277, I278) -> f5(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5(I284, I285, I286, I287, I288) -> f10(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5(I294, I295, I296, I297, I298) -> f10(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5(I304, I305, I306, I307, I308) -> f9(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5(I314, I315, I316, I317, I318) -> f9(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5(I324, I325, I326, I327, I328) -> f8(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5(I334, I335, I336, I337, I338) -> f8(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5(I344, I345, I346, I347, I348) -> f7(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5(I354, I355, I356, I357, I358) -> f7(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5(I364, I365, I366, I367, I368) -> f6(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5(I374, I375, I376, I377, I378) -> f6(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5(I384, I385, I386, I387, I388) -> f5(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5(I394, I395, I396, I397, I398) -> f5(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 f3(I404, I405, I406, I407, I408) -> f5(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 f4(I414, I415, I416, I417, I418) -> f4(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 f2(I423, I424, I425, I426, I427) -> f4(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 f1(I433, I434, I435, I436, I437) -> f4(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 f2(I443, I444, I445, I446, I447) -> f3(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 f2(I452, I453, I454, I455, I456) -> f3(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 f1(I461, I462, I463, I464, I465) -> f2(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 f1(I470, I471, I472, I473, I474) -> f2(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 129.54/128.33 The dependency graph for this problem is: 129.54/128.33 0 -> 45, 48, 49 129.54/128.33 1 -> 1 129.54/128.33 2 -> 1 129.54/128.33 3 -> 1 129.54/128.33 4 -> 1 129.54/128.33 5 -> 1 129.54/128.33 6 -> 1 129.54/128.33 7 -> 1 129.54/128.33 8 -> 1 129.54/128.33 9 -> 1 129.54/128.33 10 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 11 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 12 -> 10 129.54/128.33 13 -> 10 129.54/128.33 14 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 15 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 16 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 17 -> 14 129.54/128.33 18 -> 14 129.54/128.33 19 -> 2, 11, 12, 13 129.54/128.33 20 -> 2, 11, 12, 13 129.54/128.33 21 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 22 -> 15 129.54/128.33 23 -> 15 129.54/128.33 24 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 25 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 26 -> 16 129.54/128.33 27 -> 16 129.54/128.33 28 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 29 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 30 -> 3, 17, 18, 24 129.54/128.33 31 -> 3, 17, 18, 24 129.54/128.33 32 -> 28 129.54/128.33 33 -> 28 129.54/128.33 34 -> 4, 25, 26, 27 129.54/128.33 35 -> 4, 25, 26, 27 129.54/128.33 36 -> 5, 19, 20, 21, 22, 23 129.54/128.33 37 -> 5, 19, 20, 21, 22, 23 129.54/128.33 38 -> 29 129.54/128.33 39 -> 29 129.54/128.33 40 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 41 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 42 -> 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 129.54/128.33 43 -> 43 129.54/128.33 44 -> 43 129.54/128.33 45 -> 43 129.54/128.33 46 -> 42 129.54/128.33 47 -> 42 129.54/128.33 48 -> 44, 46, 47 129.54/128.33 49 -> 44, 46, 47 129.54/128.33 Where: 129.54/128.33 0) init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 1) f16#(I0, I1, I2, I3, I4) -> f16#(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 2) f13#(I10, I11, I12, I13, I14) -> f16#(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 3) f10#(I20, I21, I22, I23, I24) -> f16#(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 4) f8#(I30, I31, I32, I33, I34) -> f16#(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 5) f7#(I40, I41, I42, I43, I44) -> f16#(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 6) f5#(I50, I51, I52, I53, I54) -> f16#(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 7) f5#(I60, I61, I62, I63, I64) -> f16#(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 8) f5#(I70, I71, I72, I73, I74) -> f16#(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 9) f5#(I80, I81, I82, I83, I84) -> f16#(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 10) f15#(I90, I91, I92, I93, I94) -> f5#(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 11) f13#(I100, I101, I102, I103, I104) -> f5#(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 12) f13#(I110, I111, I112, I113, I114) -> f15#(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 13) f13#(I119, I120, I121, I122, I123) -> f15#(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 14) f14#(I128, I129, I130, I131, I132) -> f5#(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 15) f12#(I138, I139, I140, I141, I142) -> f5#(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 16) f11#(I148, I149, I150, I151, I152) -> f5#(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 17) f10#(I158, I159, I160, I161, I162) -> f14#(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 18) f10#(I167, I168, I169, I170, I171) -> f14#(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 19) f7#(I176, I177, I178, I179, I180) -> f13#(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 20) f7#(I185, I186, I187, I188, I189) -> f13#(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 21) f7#(I194, I195, I196, I197, I198) -> f5#(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 22) f7#(I204, I205, I206, I207, I208) -> f12#(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 23) f7#(I214, I215, I216, I217, I218) -> f12#(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 24) f10#(I224, I225, I226, I227, I228) -> f5#(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 25) f8#(I234, I235, I236, I237, I238) -> f5#(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 26) f8#(I244, I245, I246, I247, I248) -> f11#(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 27) f8#(I254, I255, I256, I257, I258) -> f11#(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 28) f9#(I264, I265, I266, I267, I268) -> f5#(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 29) f6#(I274, I275, I276, I277, I278) -> f5#(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 30) f5#(I284, I285, I286, I287, I288) -> f10#(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 31) f5#(I294, I295, I296, I297, I298) -> f10#(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 32) f5#(I304, I305, I306, I307, I308) -> f9#(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 33) f5#(I314, I315, I316, I317, I318) -> f9#(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 34) f5#(I324, I325, I326, I327, I328) -> f8#(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 35) f5#(I334, I335, I336, I337, I338) -> f8#(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 36) f5#(I344, I345, I346, I347, I348) -> f7#(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 37) f5#(I354, I355, I356, I357, I358) -> f7#(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 38) f5#(I364, I365, I366, I367, I368) -> f6#(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 39) f5#(I374, I375, I376, I377, I378) -> f6#(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 40) f5#(I384, I385, I386, I387, I388) -> f5#(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 41) f5#(I394, I395, I396, I397, I398) -> f5#(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 42) f3#(I404, I405, I406, I407, I408) -> f5#(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 43) f4#(I414, I415, I416, I417, I418) -> f4#(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 44) f2#(I423, I424, I425, I426, I427) -> f4#(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 45) f1#(I433, I434, I435, I436, I437) -> f4#(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 46) f2#(I443, I444, I445, I446, I447) -> f3#(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 47) f2#(I452, I453, I454, I455, I456) -> f3#(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 48) f1#(I461, I462, I463, I464, I465) -> f2#(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 49) f1#(I470, I471, I472, I473, I474) -> f2#(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 129.54/128.33 We have the following SCCs. 129.54/128.33 { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 } 129.54/128.33 { 1 } 129.54/128.33 { 43 } 129.54/128.33 129.54/128.33 DP problem for innermost termination. 129.54/128.33 P = 129.54/128.33 f4#(I414, I415, I416, I417, I418) -> f4#(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 R = 129.54/128.33 init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 f16(I0, I1, I2, I3, I4) -> f16(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 f13(I10, I11, I12, I13, I14) -> f16(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 f10(I20, I21, I22, I23, I24) -> f16(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 f8(I30, I31, I32, I33, I34) -> f16(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 f7(I40, I41, I42, I43, I44) -> f16(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 f5(I50, I51, I52, I53, I54) -> f16(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 f5(I60, I61, I62, I63, I64) -> f16(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 f5(I70, I71, I72, I73, I74) -> f16(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 f5(I80, I81, I82, I83, I84) -> f16(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 f15(I90, I91, I92, I93, I94) -> f5(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13(I100, I101, I102, I103, I104) -> f5(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13(I110, I111, I112, I113, I114) -> f15(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13(I119, I120, I121, I122, I123) -> f15(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14(I128, I129, I130, I131, I132) -> f5(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12(I138, I139, I140, I141, I142) -> f5(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11(I148, I149, I150, I151, I152) -> f5(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10(I158, I159, I160, I161, I162) -> f14(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10(I167, I168, I169, I170, I171) -> f14(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7(I176, I177, I178, I179, I180) -> f13(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7(I185, I186, I187, I188, I189) -> f13(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7(I194, I195, I196, I197, I198) -> f5(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7(I204, I205, I206, I207, I208) -> f12(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7(I214, I215, I216, I217, I218) -> f12(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10(I224, I225, I226, I227, I228) -> f5(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8(I234, I235, I236, I237, I238) -> f5(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8(I244, I245, I246, I247, I248) -> f11(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8(I254, I255, I256, I257, I258) -> f11(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9(I264, I265, I266, I267, I268) -> f5(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6(I274, I275, I276, I277, I278) -> f5(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5(I284, I285, I286, I287, I288) -> f10(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5(I294, I295, I296, I297, I298) -> f10(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5(I304, I305, I306, I307, I308) -> f9(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5(I314, I315, I316, I317, I318) -> f9(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5(I324, I325, I326, I327, I328) -> f8(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5(I334, I335, I336, I337, I338) -> f8(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5(I344, I345, I346, I347, I348) -> f7(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5(I354, I355, I356, I357, I358) -> f7(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5(I364, I365, I366, I367, I368) -> f6(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5(I374, I375, I376, I377, I378) -> f6(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5(I384, I385, I386, I387, I388) -> f5(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5(I394, I395, I396, I397, I398) -> f5(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 f3(I404, I405, I406, I407, I408) -> f5(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 f4(I414, I415, I416, I417, I418) -> f4(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 f2(I423, I424, I425, I426, I427) -> f4(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 f1(I433, I434, I435, I436, I437) -> f4(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 f2(I443, I444, I445, I446, I447) -> f3(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 f2(I452, I453, I454, I455, I456) -> f3(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 f1(I461, I462, I463, I464, I465) -> f2(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 f1(I470, I471, I472, I473, I474) -> f2(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 129.54/128.33 We use the basic value criterion with the projection function NU: 129.54/128.33 NU[f4#(z1,z2,z3,z4,z5)] = z1 129.54/128.33 129.54/128.33 This gives the following inequalities: 129.54/128.33 I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1 ==> I414 >! I414 - 1 129.54/128.33 129.54/128.33 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 129.54/128.33 129.54/128.33 DP problem for innermost termination. 129.54/128.33 P = 129.54/128.33 f16#(I0, I1, I2, I3, I4) -> f16#(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 R = 129.54/128.33 init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 f16(I0, I1, I2, I3, I4) -> f16(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 f13(I10, I11, I12, I13, I14) -> f16(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 f10(I20, I21, I22, I23, I24) -> f16(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 f8(I30, I31, I32, I33, I34) -> f16(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 f7(I40, I41, I42, I43, I44) -> f16(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 f5(I50, I51, I52, I53, I54) -> f16(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 f5(I60, I61, I62, I63, I64) -> f16(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 f5(I70, I71, I72, I73, I74) -> f16(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 f5(I80, I81, I82, I83, I84) -> f16(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 f15(I90, I91, I92, I93, I94) -> f5(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13(I100, I101, I102, I103, I104) -> f5(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13(I110, I111, I112, I113, I114) -> f15(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13(I119, I120, I121, I122, I123) -> f15(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14(I128, I129, I130, I131, I132) -> f5(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12(I138, I139, I140, I141, I142) -> f5(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11(I148, I149, I150, I151, I152) -> f5(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10(I158, I159, I160, I161, I162) -> f14(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10(I167, I168, I169, I170, I171) -> f14(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7(I176, I177, I178, I179, I180) -> f13(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7(I185, I186, I187, I188, I189) -> f13(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7(I194, I195, I196, I197, I198) -> f5(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7(I204, I205, I206, I207, I208) -> f12(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7(I214, I215, I216, I217, I218) -> f12(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10(I224, I225, I226, I227, I228) -> f5(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8(I234, I235, I236, I237, I238) -> f5(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8(I244, I245, I246, I247, I248) -> f11(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8(I254, I255, I256, I257, I258) -> f11(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9(I264, I265, I266, I267, I268) -> f5(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6(I274, I275, I276, I277, I278) -> f5(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5(I284, I285, I286, I287, I288) -> f10(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5(I294, I295, I296, I297, I298) -> f10(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5(I304, I305, I306, I307, I308) -> f9(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5(I314, I315, I316, I317, I318) -> f9(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5(I324, I325, I326, I327, I328) -> f8(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5(I334, I335, I336, I337, I338) -> f8(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5(I344, I345, I346, I347, I348) -> f7(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5(I354, I355, I356, I357, I358) -> f7(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5(I364, I365, I366, I367, I368) -> f6(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5(I374, I375, I376, I377, I378) -> f6(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5(I384, I385, I386, I387, I388) -> f5(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5(I394, I395, I396, I397, I398) -> f5(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 f3(I404, I405, I406, I407, I408) -> f5(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 f4(I414, I415, I416, I417, I418) -> f4(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 f2(I423, I424, I425, I426, I427) -> f4(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 f1(I433, I434, I435, I436, I437) -> f4(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 f2(I443, I444, I445, I446, I447) -> f3(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 f2(I452, I453, I454, I455, I456) -> f3(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 f1(I461, I462, I463, I464, I465) -> f2(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 f1(I470, I471, I472, I473, I474) -> f2(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 129.54/128.33 We use the basic value criterion with the projection function NU: 129.54/128.33 NU[f16#(z1,z2,z3,z4,z5)] = z2 129.54/128.33 129.54/128.33 This gives the following inequalities: 129.54/128.33 -1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0 ==> I1 >! I6 129.54/128.33 129.54/128.33 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 129.54/128.33 129.54/128.33 DP problem for innermost termination. 129.54/128.33 P = 129.54/128.33 f15#(I90, I91, I92, I93, I94) -> f5#(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13#(I100, I101, I102, I103, I104) -> f5#(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13#(I110, I111, I112, I113, I114) -> f15#(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13#(I119, I120, I121, I122, I123) -> f15#(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14#(I128, I129, I130, I131, I132) -> f5#(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12#(I138, I139, I140, I141, I142) -> f5#(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11#(I148, I149, I150, I151, I152) -> f5#(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10#(I158, I159, I160, I161, I162) -> f14#(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10#(I167, I168, I169, I170, I171) -> f14#(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7#(I176, I177, I178, I179, I180) -> f13#(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7#(I185, I186, I187, I188, I189) -> f13#(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7#(I194, I195, I196, I197, I198) -> f5#(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7#(I204, I205, I206, I207, I208) -> f12#(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7#(I214, I215, I216, I217, I218) -> f12#(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10#(I224, I225, I226, I227, I228) -> f5#(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8#(I234, I235, I236, I237, I238) -> f5#(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8#(I244, I245, I246, I247, I248) -> f11#(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8#(I254, I255, I256, I257, I258) -> f11#(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9#(I264, I265, I266, I267, I268) -> f5#(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6#(I274, I275, I276, I277, I278) -> f5#(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5#(I284, I285, I286, I287, I288) -> f10#(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5#(I294, I295, I296, I297, I298) -> f10#(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5#(I304, I305, I306, I307, I308) -> f9#(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5#(I314, I315, I316, I317, I318) -> f9#(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5#(I324, I325, I326, I327, I328) -> f8#(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5#(I334, I335, I336, I337, I338) -> f8#(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5#(I344, I345, I346, I347, I348) -> f7#(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5#(I354, I355, I356, I357, I358) -> f7#(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5#(I364, I365, I366, I367, I368) -> f6#(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5#(I374, I375, I376, I377, I378) -> f6#(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5#(I384, I385, I386, I387, I388) -> f5#(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5#(I394, I395, I396, I397, I398) -> f5#(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 R = 129.54/128.33 init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 129.54/128.33 f16(I0, I1, I2, I3, I4) -> f16(I5, I6, I7, I8, I9) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ I6 + 1 <= I1 /\ I6 + 3 <= I0 /\ I5 <= I1 /\ I5 + 2 <= I0] 129.54/128.33 f13(I10, I11, I12, I13, I14) -> f16(I15, I16, I17, I18, I19) [I14 + 3 <= I12 /\ I13 + 4 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I15 - 1 /\ 2 <= I12 - 1 /\ 2 <= I11 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I12 /\ I15 <= I12] 129.54/128.33 f10(I20, I21, I22, I23, I24) -> f16(I25, I26, I27, I28, I29) [I23 + 3 <= I20 /\ -1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 2 <= I21 - 1 /\ 2 <= I20 - 1 /\ I26 + 1 <= I22 /\ I25 <= I22] 129.54/128.33 f8(I30, I31, I32, I33, I34) -> f16(I35, I36, I37, I38, I39) [I32 + 3 <= I31 /\ 0 <= I36 - 1 /\ 2 <= I35 - 1 /\ 2 <= I31 - 1 /\ 2 <= I30 - 1 /\ I36 + 2 <= I31 /\ I35 <= I31] 129.54/128.33 f7(I40, I41, I42, I43, I44) -> f16(I45, I46, I47, I48, I49) [I42 + 3 <= I41 /\ 0 <= I46 - 1 /\ 2 <= I45 - 1 /\ 2 <= I41 - 1 /\ 2 <= I40 - 1 /\ I46 + 2 <= I41 /\ I45 <= I41] 129.54/128.33 f5(I50, I51, I52, I53, I54) -> f16(I55, I56, I57, I58, I59) [-1 <= I56 - 1 /\ 0 <= I55 - 1 /\ 0 <= I53 - 1 /\ 2 <= I52 - 1 /\ 2 <= I51 - 1 /\ 2 <= I50 - 1 /\ I56 + 3 <= I51 /\ I55 + 2 <= I51] 129.54/128.33 f5(I60, I61, I62, I63, I64) -> f16(I65, I66, I67, I68, I69) [0 <= I66 - 1 /\ 2 <= I65 - 1 /\ 0 <= I63 - 1 /\ 2 <= I62 - 1 /\ 1 <= I61 - 1 /\ 0 <= I60 - 1 /\ I66 <= I63 /\ I66 + 2 <= I62 /\ I65 - 2 <= I63 /\ I65 <= I62] 129.54/128.33 f5(I70, I71, I72, I73, I74) -> f16(I75, I76, I77, I78, I79) [-1 <= I76 - 1 /\ 0 <= I75 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ 2 <= I71 - 1 /\ 2 <= I70 - 1 /\ I76 + 3 <= I70 /\ I75 + 2 <= I70] 129.54/128.33 f5(I80, I81, I82, I83, I84) -> f16(I85, I86, I87, I88, I89) [-1 <= I86 - 1 /\ 0 <= I85 - 1 /\ 0 <= I83 - 1 /\ 2 <= I82 - 1 /\ 1 <= I81 - 1 /\ 0 <= I80 - 1 /\ I86 + 1 <= I80 /\ I85 <= I80] 129.54/128.33 f15(I90, I91, I92, I93, I94) -> f5(I95, I96, I97, I98, I99) [I94 + 4 <= I91 /\ I93 + 4 <= I90 /\ 0 <= I98 - 1 /\ 2 <= I97 - 1 /\ 2 <= I96 - 1 /\ 2 <= I95 - 1 /\ 2 <= I92 - 1 /\ 2 <= I91 - 1 /\ 2 <= I90 - 1 /\ I98 + 2 <= I92 /\ I97 <= I92 /\ I96 <= I91 /\ I95 <= I90] 129.54/128.33 f13(I100, I101, I102, I103, I104) -> f5(I105, I106, I107, I108, I109) [I104 + 3 <= I102 /\ I103 + 4 <= I100 /\ -1 <= I108 - 1 /\ 1 <= I107 - 1 /\ 2 <= I106 - 1 /\ 2 <= I105 - 1 /\ 2 <= I102 - 1 /\ 2 <= I101 - 1 /\ 2 <= I100 - 1 /\ I108 + 3 <= I102 /\ I108 + 3 <= I101 /\ I108 + 3 <= I100 /\ I107 + 1 <= I102 /\ I107 + 1 <= I101 /\ I107 + 1 <= I100 /\ I106 <= I101 /\ I105 <= I100] 129.54/128.33 f13(I110, I111, I112, I113, I114) -> f15(I115, I116, I117, I113, I118) [I114 + 3 <= I112 /\ I118 + 4 <= I111 /\ I113 + 4 <= I110 /\ 4 <= I117 - 1 /\ 2 <= I116 - 1 /\ 2 <= I115 - 1 /\ 2 <= I112 - 1 /\ 2 <= I111 - 1 /\ 2 <= I110 - 1 /\ I116 <= I111 /\ I115 <= I110] 129.54/128.33 f13(I119, I120, I121, I122, I123) -> f15(I124, I125, I126, I122, I127) [I123 + 3 <= I121 /\ I127 + 4 <= I120 /\ I122 + 4 <= I119 /\ 3 <= I126 - 1 /\ 2 <= I125 - 1 /\ 2 <= I124 - 1 /\ 2 <= I121 - 1 /\ 2 <= I120 - 1 /\ 2 <= I119 - 1 /\ I126 - 1 <= I121 /\ I126 - 1 <= I120 /\ I126 - 1 <= I119 /\ I125 <= I120 /\ I124 <= I119] 129.54/128.33 f14(I128, I129, I130, I131, I132) -> f5(I133, I134, I135, I136, I137) [I132 + 3 <= I130 /\ I131 + 4 <= I128 /\ 0 <= I136 - 1 /\ 2 <= I135 - 1 /\ 2 <= I134 - 1 /\ 2 <= I133 - 1 /\ 2 <= I130 - 1 /\ 2 <= I129 - 1 /\ 2 <= I128 - 1 /\ I136 + 2 <= I130 /\ I135 <= I130 /\ I134 <= I129 /\ I133 <= I128] 129.54/128.33 f12(I138, I139, I140, I141, I142) -> f5(I143, I144, I145, I146, I147) [I140 + 4 <= I138 /\ 0 <= I146 - 1 /\ 2 <= I145 - 1 /\ 1 <= I144 - 1 /\ 2 <= I143 - 1 /\ 2 <= I139 - 1 /\ 2 <= I138 - 1 /\ I146 + 2 <= I139 /\ I145 <= I139 /\ I144 + 1 <= I139 /\ I144 + 1 <= I138 /\ I143 <= I138] 129.54/128.33 f11(I148, I149, I150, I151, I152) -> f5(I153, I154, I155, I156, I157) [I150 + 4 <= I148 /\ 0 <= I156 - 1 /\ 2 <= I155 - 1 /\ 2 <= I154 - 1 /\ 1 <= I153 - 1 /\ 2 <= I149 - 1 /\ 2 <= I148 - 1 /\ I156 + 2 <= I149 /\ I155 <= I149 /\ I154 <= I148 /\ I153 + 1 <= I149 /\ I153 + 1 <= I148] 129.54/128.33 f10(I158, I159, I160, I161, I162) -> f14(I163, I164, I165, I166, I161) [I166 + 4 <= I159 /\ I161 + 3 <= I158 /\ 2 <= I165 - 1 /\ 4 <= I164 - 1 /\ 2 <= I163 - 1 /\ 0 <= I160 - 1 /\ 2 <= I159 - 1 /\ 2 <= I158 - 1 /\ I165 <= I158 /\ I163 <= I159] 129.54/128.33 f10(I167, I168, I169, I170, I171) -> f14(I172, I173, I174, I175, I170) [I175 + 4 <= I168 /\ I170 + 3 <= I167 /\ 2 <= I174 - 1 /\ 3 <= I173 - 1 /\ 2 <= I172 - 1 /\ 0 <= I169 - 1 /\ 2 <= I168 - 1 /\ 2 <= I167 - 1 /\ I174 <= I167 /\ I173 - 3 <= I169 /\ I173 - 1 <= I168 /\ I173 - 1 <= I167 /\ I172 <= I168] 129.54/128.33 f7(I176, I177, I178, I179, I180) -> f13(I181, I182, I183, I184, I178) [I178 + 3 <= I177 /\ I184 + 4 <= I176 /\ 2 <= I183 - 1 /\ 4 <= I182 - 1 /\ 2 <= I181 - 1 /\ 2 <= I177 - 1 /\ 2 <= I176 - 1 /\ I183 <= I177 /\ I181 <= I176] 129.54/128.33 f7(I185, I186, I187, I188, I189) -> f13(I190, I191, I192, I193, I187) [I187 + 3 <= I186 /\ I193 + 4 <= I185 /\ 2 <= I192 - 1 /\ 3 <= I191 - 1 /\ 2 <= I190 - 1 /\ 2 <= I186 - 1 /\ 2 <= I185 - 1 /\ I192 <= I186 /\ I191 - 1 <= I186 /\ I191 - 1 <= I185 /\ I190 <= I185] 129.54/128.33 f7(I194, I195, I196, I197, I198) -> f5(I199, I200, I201, I202, I203) [I196 + 3 <= I195 /\ -1 <= I202 - 1 /\ 1 <= I201 - 1 /\ 1 <= I200 - 1 /\ 2 <= I199 - 1 /\ 2 <= I195 - 1 /\ 2 <= I194 - 1 /\ I202 + 3 <= I195 /\ I202 + 3 <= I194 /\ I201 + 1 <= I195 /\ I201 + 1 <= I194 /\ I200 + 1 <= I195 /\ I200 + 1 <= I194 /\ I199 <= I194] 129.54/128.33 f7(I204, I205, I206, I207, I208) -> f12(I209, I210, I211, I212, I213) [I206 + 3 <= I205 /\ I211 + 4 <= I204 /\ 4 <= I210 - 1 /\ 2 <= I209 - 1 /\ 2 <= I205 - 1 /\ 2 <= I204 - 1 /\ I209 <= I204] 129.54/128.33 f7(I214, I215, I216, I217, I218) -> f12(I219, I220, I221, I222, I223) [I216 + 3 <= I215 /\ I221 + 4 <= I214 /\ 3 <= I220 - 1 /\ 2 <= I219 - 1 /\ 2 <= I215 - 1 /\ 2 <= I214 - 1 /\ I220 - 1 <= I215 /\ I220 - 1 <= I214 /\ I219 <= I214] 129.54/128.33 f10(I224, I225, I226, I227, I228) -> f5(I229, I230, I231, I232, I233) [I227 + 3 <= I224 /\ 0 <= I232 - 1 /\ 2 <= I231 - 1 /\ 1 <= I230 - 1 /\ 2 <= I229 - 1 /\ 0 <= I226 - 1 /\ 2 <= I225 - 1 /\ 2 <= I224 - 1 /\ I232 + 2 <= I224 /\ I231 <= I224 /\ I230 - 1 <= I226 /\ I230 + 1 <= I225 /\ I230 + 1 <= I224 /\ I229 <= I225] 129.54/128.33 f8(I234, I235, I236, I237, I238) -> f5(I239, I240, I241, I242, I243) [I236 + 3 <= I235 /\ -1 <= I242 - 1 /\ 1 <= I241 - 1 /\ 2 <= I240 - 1 /\ 1 <= I239 - 1 /\ 2 <= I235 - 1 /\ 2 <= I234 - 1 /\ I242 + 3 <= I235 /\ I242 + 3 <= I234 /\ I241 + 1 <= I235 /\ I241 + 1 <= I234 /\ I240 <= I234 /\ I239 + 1 <= I235 /\ I239 + 1 <= I234] 129.54/128.33 f8(I244, I245, I246, I247, I248) -> f11(I249, I250, I251, I252, I253) [I246 + 3 <= I245 /\ I251 + 4 <= I244 /\ 4 <= I250 - 1 /\ 2 <= I249 - 1 /\ 2 <= I245 - 1 /\ 2 <= I244 - 1 /\ I249 <= I244] 129.54/128.33 f8(I254, I255, I256, I257, I258) -> f11(I259, I260, I261, I262, I263) [I256 + 3 <= I255 /\ I261 + 4 <= I254 /\ 3 <= I260 - 1 /\ 2 <= I259 - 1 /\ 2 <= I255 - 1 /\ 2 <= I254 - 1 /\ I260 - 1 <= I255 /\ I260 - 1 <= I254 /\ I259 <= I254] 129.54/128.33 f9(I264, I265, I266, I267, I268) -> f5(I269, I270, I271, I272, I273) [I266 + 3 <= I265 /\ 0 <= I272 - 1 /\ 2 <= I271 - 1 /\ 2 <= I270 - 1 /\ 1 <= I269 - 1 /\ 2 <= I265 - 1 /\ 2 <= I264 - 1 /\ I272 + 2 <= I265 /\ I271 <= I265 /\ I270 <= I264 /\ I269 + 1 <= I265 /\ I269 + 1 <= I264] 129.54/128.33 f6(I274, I275, I276, I277, I278) -> f5(I279, I280, I281, I282, I283) [0 <= I282 - 1 /\ 2 <= I281 - 1 /\ 1 <= I280 - 1 /\ 1 <= I279 - 1 /\ 2 <= I274 - 1 /\ I282 + 2 <= I274 /\ I281 <= I274 /\ I280 + 1 <= I274 /\ I279 + 1 <= I274] 129.54/128.33 f5(I284, I285, I286, I287, I288) -> f10(I289, I290, I291, I292, I293) [I292 + 1 <= I287 /\ I292 + 3 <= I286 /\ 0 <= I291 - 1 /\ 3 <= I290 - 1 /\ 2 <= I289 - 1 /\ 0 <= I287 - 1 /\ 2 <= I286 - 1 /\ 2 <= I285 - 1 /\ 2 <= I284 - 1 /\ I291 + 2 <= I285 /\ I290 - 3 <= I287 /\ I290 - 1 <= I286 /\ I290 - 1 <= I285 /\ I290 - 1 <= I284 /\ I289 - 2 <= I287 /\ I289 <= I286] 129.54/128.33 f5(I294, I295, I296, I297, I298) -> f10(I299, I300, I301, I302, I303) [I302 + 1 <= I297 /\ I302 + 3 <= I296 /\ 0 <= I301 - 1 /\ 4 <= I300 - 1 /\ 2 <= I299 - 1 /\ 0 <= I297 - 1 /\ 2 <= I296 - 1 /\ 2 <= I295 - 1 /\ 2 <= I294 - 1 /\ I301 + 2 <= I295 /\ I299 - 2 <= I297 /\ I299 <= I296] 129.54/128.33 f5(I304, I305, I306, I307, I308) -> f9(I309, I310, I311, I312, I313) [I311 + 1 <= I307 /\ I311 + 3 <= I306 /\ 2 <= I310 - 1 /\ 3 <= I309 - 1 /\ 0 <= I307 - 1 /\ 2 <= I306 - 1 /\ 2 <= I305 - 1 /\ 2 <= I304 - 1 /\ I310 - 2 <= I307 /\ I310 <= I306 /\ I309 - 3 <= I307 /\ I309 - 1 <= I306 /\ I309 - 1 <= I305 /\ I309 - 1 <= I304] 129.54/128.33 f5(I314, I315, I316, I317, I318) -> f9(I319, I320, I321, I322, I323) [I321 + 1 <= I317 /\ I321 + 3 <= I316 /\ 2 <= I320 - 1 /\ 4 <= I319 - 1 /\ 0 <= I317 - 1 /\ 2 <= I316 - 1 /\ 2 <= I315 - 1 /\ 2 <= I314 - 1 /\ I320 - 2 <= I317 /\ I320 <= I316] 129.54/128.33 f5(I324, I325, I326, I327, I328) -> f8(I329, I330, I331, I332, I333) [I331 + 1 <= I327 /\ I331 + 3 <= I326 /\ 2 <= I330 - 1 /\ 3 <= I329 - 1 /\ 0 <= I327 - 1 /\ 2 <= I326 - 1 /\ 1 <= I325 - 1 /\ 0 <= I324 - 1 /\ I330 - 2 <= I327 /\ I330 <= I326 /\ I329 - 3 <= I327 /\ I329 - 1 <= I326 /\ I329 - 2 <= I325 /\ I329 - 3 <= I324] 129.54/128.33 f5(I334, I335, I336, I337, I338) -> f8(I339, I340, I341, I342, I343) [I341 + 1 <= I337 /\ I341 + 3 <= I336 /\ 2 <= I340 - 1 /\ 4 <= I339 - 1 /\ 0 <= I337 - 1 /\ 2 <= I336 - 1 /\ 1 <= I335 - 1 /\ 0 <= I334 - 1 /\ I340 - 2 <= I337 /\ I340 <= I336] 129.54/128.33 f5(I344, I345, I346, I347, I348) -> f7(I349, I350, I351, I352, I353) [I351 + 1 <= I347 /\ I351 + 3 <= I346 /\ 2 <= I350 - 1 /\ 3 <= I349 - 1 /\ 0 <= I347 - 1 /\ 2 <= I346 - 1 /\ 1 <= I345 - 1 /\ 0 <= I344 - 1 /\ I350 - 2 <= I347 /\ I350 <= I346 /\ I349 - 3 <= I347 /\ I349 - 1 <= I346 /\ I349 - 2 <= I345 /\ I349 - 3 <= I344] 129.54/128.33 f5(I354, I355, I356, I357, I358) -> f7(I359, I360, I361, I362, I363) [I361 + 1 <= I357 /\ I361 + 3 <= I356 /\ 2 <= I360 - 1 /\ 4 <= I359 - 1 /\ 0 <= I357 - 1 /\ 2 <= I356 - 1 /\ 1 <= I355 - 1 /\ 0 <= I354 - 1 /\ I360 - 2 <= I357 /\ I360 <= I356] 129.54/128.33 f5(I364, I365, I366, I367, I368) -> f6(I369, I370, I371, I372, I373) [3 <= I369 - 1 /\ 0 <= I367 - 1 /\ 2 <= I366 - 1 /\ 1 <= I365 - 1 /\ 0 <= I364 - 1 /\ I369 - 3 <= I367 /\ I369 - 1 <= I366 /\ I369 - 2 <= I365 /\ I369 - 3 <= I364] 129.54/128.33 f5(I374, I375, I376, I377, I378) -> f6(I379, I380, I381, I382, I383) [4 <= I379 - 1 /\ 0 <= I377 - 1 /\ 2 <= I376 - 1 /\ 1 <= I375 - 1 /\ 0 <= I374 - 1] 129.54/128.33 f5(I384, I385, I386, I387, I388) -> f5(I389, I390, I391, I392, I393) [0 <= I392 - 1 /\ 2 <= I391 - 1 /\ 1 <= I390 - 1 /\ 1 <= I389 - 1 /\ 0 <= I387 - 1 /\ 2 <= I386 - 1 /\ 2 <= I385 - 1 /\ 2 <= I384 - 1 /\ I392 <= I387 /\ I392 + 2 <= I386 /\ I391 - 2 <= I387 /\ I391 <= I386 /\ I390 - 1 <= I387 /\ I390 + 1 <= I386 /\ I390 + 1 <= I385 /\ I390 + 1 <= I384 /\ I389 - 1 <= I387 /\ I389 + 1 <= I386 /\ I389 + 1 <= I385 /\ I389 + 1 <= I384] 129.54/128.33 f5(I394, I395, I396, I397, I398) -> f5(I399, I400, I401, I402, I403) [-1 <= I402 - 1 /\ 1 <= I401 - 1 /\ 1 <= I400 - 1 /\ 1 <= I399 - 1 /\ 0 <= I397 - 1 /\ 2 <= I396 - 1 /\ 1 <= I395 - 1 /\ 0 <= I394 - 1 /\ I402 + 1 <= I397 /\ I402 + 3 <= I396 /\ I402 + 2 <= I395 /\ I402 + 1 <= I394 /\ I401 - 1 <= I397 /\ I401 + 1 <= I396 /\ I401 <= I395 /\ I401 - 1 <= I394 /\ I400 - 1 <= I397 /\ I400 + 1 <= I396 /\ I400 <= I395 /\ I400 - 1 <= I394 /\ I399 - 1 <= I397 /\ I399 + 1 <= I396 /\ I399 <= I395 /\ I399 - 1 <= I394] 129.54/128.33 f3(I404, I405, I406, I407, I408) -> f5(I409, I410, I411, I412, I413) [I408 + 2 <= I405 /\ -1 <= I412 - 1 /\ 0 <= I411 - 1 /\ 0 <= I410 - 1 /\ 0 <= I409 - 1 /\ 0 <= I406 - 1 /\ 0 <= I405 - 1 /\ 0 <= I404 - 1 /\ I412 + 1 <= I406 /\ I411 <= I406 /\ I410 <= I406 /\ 1 <= I407 - 1 /\ I409 <= I405] 129.54/128.33 f4(I414, I415, I416, I417, I418) -> f4(I414 - 1, I419, I420, I421, I422) [I414 - 1 <= I414 - 1 /\ 0 <= I414 - 1] 129.54/128.33 f2(I423, I424, I425, I426, I427) -> f4(I428, I429, I430, I431, I432) [0 <= I424 - 1 /\ 0 <= I423 - 1 /\ 1 <= I425 - 1 /\ -1 <= I428 - 1] 129.54/128.33 f1(I433, I434, I435, I436, I437) -> f4(I438, I439, I440, I441, I442) [0 <= I433 - 1 /\ 0 <= I434 - 1 /\ -1 <= I438 - 1] 129.54/128.33 f2(I443, I444, I445, I446, I447) -> f3(I448, I449, I450, I445, I451) [-1 <= y1 - 1 /\ 1 <= I445 - 1 /\ I448 <= I443 /\ I448 <= I444 /\ I449 <= I443 /\ 0 <= I443 - 1 /\ 0 <= I444 - 1 /\ 0 <= I448 - 1 /\ 0 <= I449 - 1 /\ 2 <= I450 - 1 /\ I451 + 2 <= I443] 129.54/128.33 f2(I452, I453, I454, I455, I456) -> f3(I457, I458, I459, I454, I460) [I460 + 2 <= I452 /\ 1 <= I459 - 1 /\ 0 <= I458 - 1 /\ 0 <= I457 - 1 /\ 0 <= I453 - 1 /\ 0 <= I452 - 1 /\ I459 - 1 <= I453 /\ I459 - 1 <= I452 /\ I458 <= I452 /\ I457 <= I453 /\ 1 <= I454 - 1 /\ I457 <= I452] 129.54/128.33 f1(I461, I462, I463, I464, I465) -> f2(I466, I467, I462, I468, I469) [0 <= I467 - 1 /\ 1 <= I466 - 1 /\ 0 <= I461 - 1 /\ I467 <= I461 /\ 0 <= I462 - 1 /\ I466 - 1 <= I461] 129.54/128.33 f1(I470, I471, I472, I473, I474) -> f2(I475, I476, I471, I477, I478) [-1 <= I479 - 1 /\ 0 <= I471 - 1 /\ I476 <= I470 /\ 0 <= I470 - 1 /\ 2 <= I475 - 1 /\ 0 <= I476 - 1] 129.54/128.33 129.54/128.33 EOF