47.91/12.70 YES 48.15/12.71 48.15/12.71 Problem: 48.15/12.71 0(0(0(x1))) -> 0(4(2(2(3(2(3(3(5(5(x1)))))))))) 48.15/12.71 0(0(5(x1))) -> 1(2(3(4(1(5(0(3(3(4(x1)))))))))) 48.15/12.71 0(0(0(2(x1)))) -> 0(2(2(1(0(4(2(3(4(2(x1)))))))))) 48.15/12.71 1(3(0(0(x1)))) -> 1(2(2(2(2(3(4(3(0(3(x1)))))))))) 48.15/12.71 1(3(0(0(x1)))) -> 1(2(3(3(5(5(4(0(2(4(x1)))))))))) 48.15/12.71 5(4(2(0(x1)))) -> 5(3(4(4(0(3(5(2(3(2(x1)))))))))) 48.15/12.71 0(0(0(4(0(x1))))) -> 1(4(3(0(5(5(5(5(1(2(x1)))))))))) 48.15/12.71 0(1(3(0(0(x1))))) -> 0(5(1(0(2(3(5(2(3(0(x1)))))))))) 48.15/12.71 4(0(1(3(4(x1))))) -> 4(2(3(2(4(4(1(4(4(4(x1)))))))))) 48.15/12.71 4(0(2(0(2(x1))))) -> 5(3(1(4(3(2(1(1(2(3(x1)))))))))) 48.15/12.71 4(0(2(5(0(x1))))) -> 3(1(2(3(4(4(5(1(0(3(x1)))))))))) 48.15/12.71 5(0(0(2(5(x1))))) -> 0(1(0(3(3(4(5(3(0(5(x1)))))))))) 48.15/12.71 5(2(0(0(0(x1))))) -> 5(5(2(3(3(4(2(5(0(5(x1)))))))))) 48.15/12.71 1(0(0(5(0(0(x1)))))) -> 2(1(5(5(5(5(0(1(0(4(x1)))))))))) 48.15/12.71 1(3(5(0(5(0(x1)))))) -> 2(4(2(3(2(3(5(3(3(0(x1)))))))))) 48.15/12.71 1(5(4(0(2(4(x1)))))) -> 1(0(1(2(3(1(1(0(5(5(x1)))))))))) 48.15/12.71 2(0(0(0(0(3(x1)))))) -> 1(0(5(4(3(3(1(3(5(1(x1)))))))))) 48.15/12.71 2(0(0(5(1(0(x1)))))) -> 2(5(3(5(2(2(3(5(2(3(x1)))))))))) 48.15/12.71 2(2(1(3(1(4(x1)))))) -> 1(1(5(3(2(2(2(1(4(3(x1)))))))))) 48.15/12.71 3(0(2(0(1(3(x1)))))) -> 3(0(5(5(1(5(3(3(4(3(x1)))))))))) 48.15/12.71 4(1(2(1(4(1(x1)))))) -> 3(5(5(2(1(4(4(4(5(1(x1)))))))))) 48.15/12.71 5(0(1(3(3(2(x1)))))) -> 0(3(3(5(5(5(1(5(1(0(x1)))))))))) 48.15/12.71 5(1(3(0(2(0(x1)))))) -> 2(4(5(5(1(0(1(5(3(4(x1)))))))))) 48.15/12.71 0(0(0(1(4(0(4(x1))))))) -> 2(4(4(2(1(2(1(2(4(5(x1)))))))))) 48.15/12.71 0(2(0(2(1(4(2(x1))))))) -> 2(4(4(2(4(1(1(3(4(2(x1)))))))))) 48.15/12.71 0(3(0(0(2(2(4(x1))))))) -> 0(1(0(5(3(5(5(4(3(0(x1)))))))))) 48.15/12.71 0(3(5(0(0(2(0(x1))))))) -> 0(2(3(1(5(4(3(0(4(4(x1)))))))))) 48.15/12.71 1(0(1(3(0(0(2(x1))))))) -> 1(0(1(0(3(5(0(1(1(4(x1)))))))))) 48.15/12.71 1(0(2(0(0(2(0(x1))))))) -> 1(2(2(1(3(1(1(0(4(4(x1)))))))))) 48.15/12.71 2(0(0(2(1(3(5(x1))))))) -> 2(5(4(2(2(1(0(0(3(4(x1)))))))))) 48.15/12.71 2(0(0(4(0(0(3(x1))))))) -> 1(1(1(1(0(0(5(4(2(3(x1)))))))))) 48.15/12.71 2(1(4(0(0(0(0(x1))))))) -> 2(1(4(0(2(1(1(3(1(4(x1)))))))))) 48.15/12.71 2(4(0(5(3(2(1(x1))))))) -> 2(0(3(0(4(2(3(1(2(1(x1)))))))))) 48.15/12.71 2(5(2(0(4(5(0(x1))))))) -> 1(2(2(2(2(5(0(2(1(0(x1)))))))))) 48.15/12.71 3(0(2(2(0(1(3(x1))))))) -> 3(1(4(5(1(1(4(2(3(4(x1)))))))))) 48.15/12.71 3(4(0(2(4(0(0(x1))))))) -> 3(2(4(5(3(1(1(0(3(0(x1)))))))))) 48.15/12.71 4(0(2(4(0(1(3(x1))))))) -> 4(3(1(1(2(2(1(3(0(3(x1)))))))))) 48.15/12.71 4(4(0(5(4(0(4(x1))))))) -> 4(4(5(1(1(0(3(4(2(4(x1)))))))))) 48.15/12.71 5(0(2(5(0(2(0(x1))))))) -> 3(2(3(4(2(5(0(2(4(4(x1)))))))))) 48.15/12.71 5(2(1(4(1(4(2(x1))))))) -> 1(3(2(4(3(1(2(0(3(0(x1)))))))))) 48.15/12.71 5(4(1(1(0(5(0(x1))))))) -> 4(3(4(5(5(5(1(4(0(3(x1)))))))))) 48.15/12.71 5(4(1(1(2(0(4(x1))))))) -> 4(3(5(5(4(4(4(2(2(4(x1)))))))))) 48.15/12.71 5(4(2(0(0(1(3(x1))))))) -> 2(3(4(2(4(3(1(1(2(4(x1)))))))))) 48.15/12.71 48.15/12.71 Proof: 48.15/12.71 Bounds Processor: 48.15/12.71 bound: 1 48.15/12.71 enrichment: match 48.15/12.71 automaton: 48.15/12.71 final states: {358,350,342,335,327,319,312,304,296,288,279,271,263, 48.15/12.71 255,248,239,231,223,216,207,199,190,182,174,165,157, 48.15/12.71 147,139,131,122,114,105,97,88,79,69,60,51,42,32,22, 48.15/12.71 12,1} 48.15/12.71 transitions: 48.15/12.71 f60() -> 2* 48.15/12.71 00(75) -> 76* 48.15/12.71 00(65) -> 66* 48.15/12.71 00(55) -> 56* 48.15/12.71 00(15) -> 16* 48.15/12.71 00(289) -> 290* 48.15/12.71 00(284) -> 285* 48.15/12.71 00(244) -> 245* 48.15/12.71 00(27) -> 28* 48.15/12.71 00(2) -> 70* 48.15/12.71 00(124) -> 125* 48.15/12.71 00(321) -> 322* 48.15/12.71 00(286) -> 287* 48.15/12.71 00(266) -> 267* 48.15/12.71 00(256) -> 257* 48.15/12.71 00(246) -> 247* 48.15/12.71 00(241) -> 242* 48.15/12.71 00(14) -> 256* 48.15/12.71 00(4) -> 140* 48.15/12.71 00(201) -> 202* 48.15/12.71 00(328) -> 329* 48.15/12.71 00(111) -> 112* 48.15/12.71 00(71) -> 305* 48.15/12.71 00(238) -> 231* 48.15/12.71 00(31) -> 22* 48.15/12.71 00(228) -> 229* 48.15/12.71 00(11) -> 1* 48.15/12.71 00(198) -> 190* 48.15/12.71 00(113) -> 105* 48.15/12.71 00(78) -> 69* 48.15/12.71 00(275) -> 276* 48.15/12.71 00(265) -> 266* 48.15/12.71 00(43) -> 44* 48.15/12.71 00(33) -> 34* 48.15/12.71 00(230) -> 223* 48.15/12.71 00(13) -> 123* 48.15/12.71 00(3) -> 106* 48.15/12.71 00(180) -> 181* 48.15/12.71 00(155) -> 156* 48.15/12.71 00(145) -> 146* 48.15/12.71 00(80) -> 232* 48.15/12.71 40(35) -> 36* 48.15/12.71 40(10) -> 11* 48.15/12.71 40(349) -> 342* 48.15/12.71 40(137) -> 138* 48.15/12.71 40(309) -> 310* 48.15/12.71 40(87) -> 79* 48.15/12.71 40(82) -> 83* 48.15/12.71 40(67) -> 68* 48.15/12.71 40(57) -> 58* 48.15/12.71 40(214) -> 215* 48.15/12.71 40(2) -> 13* 48.15/12.71 40(184) -> 185* 48.15/12.71 40(361) -> 362* 48.15/12.71 40(351) -> 352* 48.15/12.71 40(149) -> 183* 48.15/12.71 40(331) -> 332* 48.15/12.71 40(326) -> 319* 48.15/12.71 40(301) -> 302* 48.15/12.71 40(99) -> 100* 48.15/12.71 40(89) -> 264* 48.15/12.71 40(276) -> 277* 48.15/12.71 40(44) -> 45* 48.15/12.71 40(34) -> 343* 48.15/12.71 40(221) -> 222* 48.15/12.71 40(363) -> 364* 48.15/12.71 40(353) -> 354* 48.15/12.71 40(338) -> 339* 48.15/12.71 40(318) -> 312* 48.15/12.71 40(116) -> 117* 48.15/12.71 40(283) -> 284* 48.15/12.71 40(71) -> 224* 48.15/12.71 40(56) -> 57* 48.15/12.71 40(233) -> 234* 48.15/12.71 40(26) -> 27* 48.15/12.71 40(218) -> 219* 48.15/12.71 40(213) -> 214* 48.15/12.71 40(183) -> 184* 48.15/12.71 40(153) -> 154* 48.15/12.71 40(325) -> 326* 48.15/12.71 40(108) -> 109* 48.15/12.71 40(93) -> 94* 48.15/12.71 40(83) -> 84* 48.15/12.71 40(260) -> 261* 48.15/12.71 40(43) -> 320* 48.15/12.71 40(33) -> 166* 48.15/12.71 40(23) -> 24* 48.15/12.71 40(220) -> 221* 48.15/12.71 40(18) -> 19* 48.15/12.71 40(13) -> 80* 48.15/12.71 40(205) -> 206* 48.15/12.71 40(3) -> 208* 48.15/12.71 40(357) -> 350* 48.15/12.71 40(352) -> 353* 48.15/12.71 40(347) -> 348* 48.15/12.71 40(100) -> 101* 48.15/12.71 40(297) -> 298* 48.15/12.71 40(80) -> 81* 48.15/12.71 20(262) -> 255* 48.15/12.71 20(252) -> 253* 48.15/12.71 20(40) -> 41* 48.15/12.71 20(237) -> 238* 48.15/12.71 20(30) -> 31* 48.15/12.71 20(25) -> 26* 48.15/12.71 20(222) -> 216* 48.15/12.71 20(20) -> 21* 48.15/12.71 20(212) -> 213* 48.15/12.71 20(167) -> 168* 48.15/12.71 20(339) -> 340* 48.15/12.71 20(314) -> 315* 48.15/12.71 20(102) -> 103* 48.15/12.71 20(294) -> 295* 48.15/12.71 20(274) -> 275* 48.15/12.71 20(259) -> 260* 48.15/12.71 20(52) -> 53* 48.15/12.71 20(37) -> 38* 48.15/12.71 20(219) -> 220* 48.15/12.71 20(2) -> 23* 48.15/12.71 20(169) -> 170* 48.15/12.71 20(164) -> 157* 48.15/12.71 20(159) -> 160* 48.15/12.71 20(134) -> 135* 48.15/12.71 20(119) -> 120* 48.15/12.71 20(291) -> 292* 48.15/12.71 20(84) -> 85* 48.15/12.71 20(74) -> 75* 48.15/12.71 20(49) -> 50* 48.15/12.71 20(39) -> 40* 48.15/12.71 20(29) -> 30* 48.15/12.71 20(14) -> 297* 48.15/12.71 20(9) -> 10* 48.15/12.71 20(206) -> 199* 48.15/12.71 20(191) -> 289* 48.15/12.71 20(186) -> 187* 48.15/12.71 20(136) -> 137* 48.15/12.71 20(333) -> 334* 48.15/12.71 20(313) -> 314* 48.15/12.71 20(293) -> 294* 48.15/12.71 20(91) -> 92* 48.15/12.71 20(86) -> 87* 48.15/12.71 20(278) -> 271* 48.15/12.71 20(71) -> 72* 48.15/12.71 20(258) -> 259* 48.15/12.71 20(253) -> 254* 48.15/12.71 20(208) -> 209* 48.15/12.71 20(6) -> 7* 48.15/12.71 20(168) -> 169* 48.15/12.71 20(365) -> 358* 48.15/12.71 20(148) -> 280* 48.15/12.71 20(143) -> 144* 48.15/12.71 20(138) -> 131* 48.15/12.71 20(330) -> 331* 48.15/12.71 20(310) -> 311* 48.15/12.71 20(305) -> 336* 48.15/12.71 20(43) -> 351* 48.15/12.71 20(38) -> 39* 48.15/12.71 20(33) -> 89* 48.15/12.71 20(215) -> 207* 48.15/12.71 20(13) -> 43* 48.15/12.71 20(210) -> 211* 48.15/12.71 20(8) -> 9* 48.15/12.71 20(362) -> 363* 48.15/12.71 20(160) -> 161* 48.15/12.71 20(130) -> 122* 48.15/12.71 20(115) -> 116* 48.15/12.71 20(292) -> 293* 48.15/12.71 20(287) -> 279* 48.15/12.71 20(282) -> 283* 48.15/12.71 20(80) -> 328* 48.15/12.71 30(70) -> 71* 48.15/12.71 30(232) -> 233* 48.15/12.71 30(5) -> 6* 48.15/12.71 30(197) -> 198* 48.15/12.71 30(364) -> 365* 48.15/12.71 30(162) -> 163* 48.15/12.71 30(152) -> 153* 48.15/12.71 30(142) -> 143* 48.15/12.71 30(334) -> 327* 48.15/12.71 30(117) -> 118* 48.15/12.71 30(92) -> 93* 48.15/12.71 30(47) -> 48* 48.15/12.71 30(7) -> 8* 48.15/12.71 30(2) -> 33* 48.15/12.71 30(189) -> 182* 48.15/12.71 30(356) -> 357* 48.15/12.71 30(149) -> 150* 48.15/12.71 30(311) -> 304* 48.15/12.71 30(109) -> 110* 48.15/12.71 30(104) -> 97* 48.15/12.71 30(281) -> 282* 48.15/12.71 30(54) -> 55* 48.15/12.71 30(236) -> 237* 48.15/12.71 30(34) -> 35* 48.15/12.71 30(226) -> 227* 48.15/12.71 30(24) -> 25* 48.15/12.71 30(19) -> 20* 48.15/12.71 30(14) -> 15* 48.15/12.71 30(4) -> 5* 48.15/12.71 30(196) -> 197* 48.15/12.71 30(181) -> 174* 48.15/12.71 30(166) -> 175* 48.15/12.71 30(151) -> 152* 48.15/12.71 30(348) -> 349* 48.15/12.71 30(106) -> 107* 48.15/12.71 30(303) -> 296* 48.15/12.71 30(101) -> 102* 48.15/12.71 30(71) -> 132* 48.15/12.71 30(66) -> 67* 48.15/12.71 30(243) -> 244* 48.15/12.71 30(36) -> 37* 48.15/12.71 30(360) -> 361* 48.15/12.71 30(158) -> 159* 48.15/12.71 30(340) -> 341* 48.15/12.71 30(133) -> 134* 48.15/12.71 30(320) -> 321* 48.15/12.71 30(118) -> 119* 48.15/12.71 30(285) -> 286* 48.15/12.71 30(73) -> 74* 48.15/12.71 30(58) -> 59* 48.15/12.71 30(250) -> 251* 48.15/12.71 30(48) -> 49* 48.15/12.71 30(240) -> 272* 48.15/12.71 30(23) -> 52* 48.15/12.71 30(13) -> 14* 48.15/12.71 30(175) -> 176* 48.15/12.71 30(170) -> 171* 48.15/12.72 30(337) -> 338* 48.15/12.72 30(135) -> 136* 48.15/12.72 30(332) -> 333* 48.15/12.72 30(317) -> 318* 48.15/12.72 30(110) -> 111* 48.15/12.72 30(307) -> 308* 48.15/12.72 30(95) -> 96* 48.15/12.72 30(85) -> 86* 48.15/12.72 50(45) -> 46* 48.15/12.72 50(242) -> 243* 48.15/12.72 50(227) -> 228* 48.15/12.72 50(187) -> 188* 48.15/12.72 50(354) -> 355* 48.15/12.72 50(344) -> 345* 48.15/12.72 50(132) -> 133* 48.15/12.72 50(329) -> 330* 48.15/12.72 50(127) -> 128* 48.15/12.72 50(324) -> 325* 48.15/12.72 50(107) -> 108* 48.15/12.72 50(77) -> 78* 48.15/12.72 50(72) -> 73* 48.15/12.72 50(264) -> 265* 48.15/12.72 50(62) -> 63* 48.15/12.72 50(234) -> 235* 48.15/12.72 50(224) -> 225* 48.15/12.72 50(204) -> 205* 48.15/12.72 50(2) -> 3* 48.15/12.72 50(194) -> 195* 48.15/12.72 50(179) -> 180* 48.15/12.72 50(154) -> 155* 48.15/12.72 50(346) -> 347* 48.15/12.72 50(89) -> 158* 48.15/12.72 50(64) -> 65* 48.15/12.72 50(261) -> 262* 48.15/12.72 50(59) -> 51* 48.15/12.72 50(14) -> 200* 48.15/12.72 50(191) -> 192* 48.15/12.72 50(176) -> 177* 48.15/12.72 50(171) -> 172* 48.15/12.72 50(161) -> 162* 48.15/12.72 50(126) -> 127* 48.15/12.72 50(121) -> 114* 48.15/12.72 50(308) -> 309* 48.15/12.72 50(106) -> 115* 48.15/12.72 50(96) -> 88* 48.15/12.72 50(61) -> 62* 48.15/12.72 50(46) -> 47* 48.15/12.72 50(16) -> 17* 48.15/12.72 50(203) -> 204* 48.15/12.72 50(193) -> 194* 48.15/12.72 50(188) -> 189* 48.15/12.72 50(178) -> 179* 48.15/12.72 50(163) -> 164* 48.15/12.72 50(355) -> 356* 48.15/12.72 50(148) -> 149* 48.15/12.72 50(345) -> 346* 48.15/12.72 50(128) -> 129* 48.15/12.72 50(300) -> 301* 48.15/12.72 50(98) -> 99* 48.15/12.72 50(290) -> 291* 48.15/12.72 50(63) -> 64* 48.15/12.72 50(53) -> 54* 48.15/12.72 50(225) -> 226* 48.15/12.72 50(3) -> 4* 48.15/12.72 50(195) -> 196* 48.15/12.72 50(125) -> 126* 48.15/12.72 50(120) -> 121* 48.15/12.72 10(277) -> 278* 48.15/12.72 10(272) -> 273* 48.15/12.72 10(70) -> 191* 48.15/12.72 10(267) -> 268* 48.15/12.72 10(257) -> 258* 48.15/12.72 10(50) -> 42* 48.15/12.72 10(247) -> 239* 48.15/12.72 10(35) -> 313* 48.15/12.72 10(232) -> 249* 48.15/12.72 10(25) -> 217* 48.15/12.72 10(217) -> 218* 48.15/12.72 10(202) -> 203* 48.15/12.72 10(192) -> 193* 48.15/12.72 10(177) -> 178* 48.15/12.72 10(172) -> 173* 48.15/12.72 10(359) -> 360* 48.15/12.72 10(112) -> 113* 48.15/12.72 10(299) -> 300* 48.15/12.72 10(269) -> 270* 48.15/12.72 10(254) -> 248* 48.15/12.72 10(249) -> 250* 48.15/12.72 10(229) -> 230* 48.15/12.72 10(17) -> 18* 48.15/12.72 10(209) -> 210* 48.15/12.72 10(2) -> 148* 48.15/12.72 10(144) -> 145* 48.15/12.72 10(341) -> 335* 48.15/12.72 10(336) -> 337* 48.15/12.72 10(129) -> 130* 48.15/12.72 10(316) -> 317* 48.15/12.72 10(306) -> 307* 48.15/12.72 10(94) -> 95* 48.15/12.72 10(89) -> 90* 48.15/12.72 10(251) -> 252* 48.15/12.72 10(34) -> 98* 48.15/12.72 10(211) -> 212* 48.15/12.72 10(166) -> 167* 48.15/12.72 10(156) -> 147* 48.15/12.72 10(146) -> 139* 48.15/12.72 10(343) -> 344* 48.15/12.72 10(141) -> 142* 48.15/12.72 10(323) -> 324* 48.15/12.72 10(298) -> 299* 48.15/12.72 10(81) -> 82* 48.15/12.72 10(76) -> 77* 48.15/12.72 10(273) -> 274* 48.15/12.72 10(268) -> 269* 48.15/12.72 10(41) -> 32* 48.15/12.72 10(21) -> 12* 48.15/12.72 10(173) -> 165* 48.15/12.72 10(123) -> 124* 48.15/12.72 10(315) -> 316* 48.15/12.72 10(305) -> 306* 48.15/12.72 10(103) -> 104* 48.15/12.72 10(295) -> 288* 48.15/12.72 10(280) -> 281* 48.15/12.72 10(270) -> 263* 48.15/12.72 10(68) -> 60* 48.15/12.72 10(245) -> 246* 48.15/12.72 10(43) -> 359* 48.15/12.72 10(240) -> 241* 48.15/12.72 10(235) -> 236* 48.15/12.72 10(28) -> 29* 48.15/12.72 10(23) -> 61* 48.15/12.72 10(13) -> 240* 48.15/12.72 10(200) -> 201* 48.15/12.72 10(185) -> 186* 48.15/12.72 10(150) -> 151* 48.15/12.72 10(140) -> 141* 48.15/12.72 10(322) -> 323* 48.15/12.72 10(302) -> 303* 48.15/12.72 10(90) -> 91* 48.15/12.72 11(386) -> 387* 48.15/12.72 11(382) -> 383* 48.15/12.72 21(385) -> 386* 48.15/12.72 31(384) -> 385* 48.15/12.72 31(379) -> 380* 48.15/12.72 31(378) -> 379* 48.15/12.72 41(383) -> 384* 48.15/12.72 41(377) -> 378* 48.15/12.72 51(381) -> 382* 48.15/12.72 01(380) -> 381* 48.15/12.72 1 -> 70* 48.15/12.72 12 -> 70* 48.15/12.72 22 -> 70* 48.15/12.72 32 -> 148* 48.15/12.72 42 -> 148* 48.15/12.72 51 -> 3* 48.15/12.72 60 -> 70* 48.15/12.72 69 -> 70* 48.15/12.72 79 -> 13* 48.15/12.72 88 -> 13* 48.15/12.72 97 -> 13* 48.15/12.72 105 -> 3* 48.15/12.72 114 -> 3* 48.15/12.72 122 -> 148,191 48.15/12.72 131 -> 148* 48.15/12.72 139 -> 148* 48.15/12.72 147 -> 23* 48.15/12.72 157 -> 23* 48.15/12.72 165 -> 23* 48.15/12.72 174 -> 33,71 48.15/12.72 182 -> 13* 48.15/12.72 190 -> 3* 48.15/12.72 199 -> 3,149 48.15/12.72 207 -> 70* 48.15/12.72 216 -> 70* 48.15/12.72 223 -> 70,34,305 48.15/12.72 231 -> 70,34 48.15/12.72 239 -> 148,191 48.15/12.72 248 -> 148,191 48.15/12.72 255 -> 23* 48.15/12.72 263 -> 23* 48.15/12.72 264 -> 377* 48.15/12.72 271 -> 23,280 48.15/12.72 279 -> 23,43 48.15/12.72 288 -> 23* 48.15/12.72 296 -> 33,71 48.15/12.72 304 -> 33,14 48.15/12.72 312 -> 13,45 48.15/12.72 319 -> 13,80 48.15/12.72 327 -> 3* 48.15/12.72 335 -> 3* 48.15/12.72 342 -> 3* 48.15/12.72 350 -> 3* 48.15/12.72 358 -> 3* 48.15/12.72 387 -> 267* 48.15/12.72 problem: 48.15/12.72 48.15/12.72 Qed 48.15/12.72 EOF