[llvm-commits] [PATCH] Memory footprint improvement of pass GlobalOpt

Sheng Zhou zhousheng00 at gmail.com
Wed Nov 28 22:45:23 PST 2012


Hi,

The attached patch is to improve the memory footprint of pass GlobalOpt. Please
kindly let me know if the patch is good to commit.
I also attached a case to repeat the issue, on which 'opt -globalopt'
consumes 3.2GB memory and is stuck for long time.
With my patch the memory footprint is reduced to 300MB and GlobalOpt
transform finishes in 3mins. (My machine info: 16 Intel(R) Xeon(R) CPU
E5620 at 2.40GHz, 16GB)

The big memory footprint cause is that current GlobalOpt one by one hoists
and stores the leaf element constant into the global array,
in each iteration, it recreates the global array initializer constant and
leave the old initializer alone. This may result in many obsolete constants
left.
For example:  we have global array @rom = global [16 x i32] zeroinitializer
After the first element value is hoisted and installed:   @rom = global [16
x i32] [ 1, 0, 0, ... ]
After the second element value is installed:  @rom = global [16 x 32] [ 1,
2, 0, 0, ... ]        // here the previous initializer is obsolete
...
When the transform is done, we have 15 obsolete initializers left useless.



-Sheng
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B(98,99,98,9604,101),
B(99,100,99,9801,102),
B(100,101,100,10000,103),
B(101,102,101,10201,104),
B(102,103,102,10404,105),
B(103,104,103,10609,106),
B(104,105,104,10816,107),
B(105,106,105,11025,108),
B(106,107,106,11236,109),
B(107,108,107,11449,110),
B(108,109,108,11664,111),
B(109,110,109,11881,112),
B(110,111,110,12100,113),
B(111,112,111,12321,114),
B(112,113,112,12544,115),
B(113,114,113,12769,116),
B(114,115,114,12996,117),
B(115,116,115,13225,118),
B(116,117,116,13456,119),
B(117,118,117,13689,120),
B(118,119,118,13924,121),
B(119,120,119,14161,122),
B(120,121,120,14400,123),
B(121,122,121,14641,124),
B(122,123,122,14884,125),
B(123,124,123,15129,126),
B(124,125,124,15376,127),
B(125,126,125,15625,128),
B(126,127,126,15876,129),
B(127,128,127,16129,130),
B(128,129,128,16384,131),
B(129,130,129,16641,132),
B(130,131,130,16900,133),
B(131,132,131,17161,134),
B(132,133,132,17424,135),
B(133,134,133,17689,136),
B(134,135,134,17956,137),
B(135,136,135,18225,138),
B(136,137,136,18496,139),
B(137,138,137,18769,140),
B(138,139,138,19044,141),
B(139,140,139,19321,142),
B(140,141,140,19600,143),
B(141,142,141,19881,144),
B(142,143,142,20164,145),
B(143,144,143,20449,146),
B(144,145,144,20736,147),
B(145,146,145,21025,148),
B(146,147,146,21316,149),
B(147,148,147,21609,150),
B(148,149,148,21904,151),
B(149,150,149,22201,152),
B(150,151,150,22500,153),
B(151,152,151,22801,154),
B(152,153,152,23104,155),
B(153,154,153,23409,156),
B(154,155,154,23716,157),
B(155,156,155,24025,158),
B(156,157,156,24336,159),
B(157,158,157,24649,160),
B(158,159,158,24964,161),
B(159,160,159,25281,162),
B(160,161,160,25600,163),
B(161,162,161,25921,164),
B(162,163,162,26244,165),
B(163,164,163,26569,166),
B(164,165,164,26896,167),
B(165,166,165,27225,168),
B(166,167,166,27556,169),
B(167,168,167,27889,170),
B(168,169,168,28224,171),
B(169,170,169,28561,172),
B(170,171,170,28900,173),
B(171,172,171,29241,174),
B(172,173,172,29584,175),
B(173,174,173,29929,176),
B(174,175,174,30276,177),
B(175,176,175,30625,178),
B(176,177,176,30976,179),
B(177,178,177,31329,180),
B(178,179,178,31684,181),
B(179,180,179,32041,182),
B(180,181,180,32400,183),
B(181,182,181,32761,184),
B(182,183,182,33124,185),
B(183,184,183,33489,186),
B(184,185,184,33856,187),
B(185,186,185,34225,188),
B(186,187,186,34596,189),
B(187,188,187,34969,190),
B(188,189,188,35344,191),
B(189,190,189,35721,192),
B(190,191,190,36100,193),
B(191,192,191,36481,194),
B(192,193,192,36864,195),
B(193,194,193,37249,196),
B(194,195,194,37636,197),
B(195,196,195,38025,198),
B(196,197,196,38416,199),
B(197,198,197,38809,200),
B(198,199,198,39204,201),
B(199,200,199,39601,202),
B(200,201,200,40000,203),
B(201,202,201,40401,204),
B(202,203,202,40804,205),
B(203,204,203,41209,206),
B(204,205,204,41616,207),
B(205,206,205,42025,208),
B(206,207,206,42436,209),
B(207,208,207,42849,210),
B(208,209,208,43264,211),
B(209,210,209,43681,212),
B(210,211,210,44100,213),
B(211,212,211,44521,214),
B(212,213,212,44944,215),
B(213,214,213,45369,216),
B(214,215,214,45796,217),
B(215,216,215,46225,218),
B(216,217,216,46656,219),
B(217,218,217,47089,220),
B(218,219,218,47524,221),
B(219,220,219,47961,222),
B(220,221,220,48400,223),
B(221,222,221,48841,224),
B(222,223,222,49284,225),
B(223,224,223,49729,226),
B(224,225,224,50176,227),
B(225,226,225,50625,228),
B(226,227,226,51076,229),
B(227,228,227,51529,230),
B(228,229,228,51984,231),
B(229,230,229,52441,232),
B(230,231,230,52900,233),
B(231,232,231,53361,234),
B(232,233,232,53824,235),
B(233,234,233,54289,236),
B(234,235,234,54756,237),
B(235,236,235,55225,238),
B(236,237,236,55696,239),
B(237,238,237,56169,240),
B(238,239,238,56644,241),
B(239,240,239,57121,242),
B(240,241,240,57600,243),
B(241,242,241,58081,244),
B(242,243,242,58564,245),
B(243,244,243,59049,246),
B(244,245,244,59536,247),
B(245,246,245,60025,248),
B(246,247,246,60516,249),
B(247,248,247,61009,250),
B(248,249,248,61504,251),
B(249,250,249,62001,252),
B(250,251,250,62500,253),
B(251,252,251,63001,254),
B(252,253,252,63504,255),
B(253,254,253,64009,256),
B(254,255,254,64516,257),
B(255,256,255,65025,258),
B(256,257,256,65536,259),
B(257,258,257,66049,260),
B(258,259,258,66564,261),
B(259,260,259,67081,262),
B(260,261,260,67600,263),
B(261,262,261,68121,264),
B(262,263,262,68644,265),
B(263,264,263,69169,266),
B(264,265,264,69696,267),
B(265,266,265,70225,268),
B(266,267,266,70756,269),
B(267,268,267,71289,270),
B(268,269,268,71824,271),
B(269,270,269,72361,272),
B(270,271,270,72900,273),
B(271,272,271,73441,274),
B(272,273,272,73984,275),
B(273,274,273,74529,276),
B(274,275,274,75076,277),
B(275,276,275,75625,278),
B(276,277,276,76176,279),
B(277,278,277,76729,280),
B(278,279,278,77284,281),
B(279,280,279,77841,282),
B(280,281,280,78400,283),
B(281,282,281,78961,284),
B(282,283,282,79524,285),
B(283,284,283,80089,286),
B(284,285,284,80656,287),
B(285,286,285,81225,288),
B(286,287,286,81796,289),
B(287,288,287,82369,290),
B(288,289,288,82944,291),
B(289,290,289,83521,292),
B(290,291,290,84100,293),
B(291,292,291,84681,294),
B(292,293,292,85264,295),
B(293,294,293,85849,296),
B(294,295,294,86436,297),
B(295,296,295,87025,298),
B(296,297,296,87616,299),
B(297,298,297,88209,300),
B(298,299,298,88804,301),
B(299,300,299,89401,302),
B(300,301,300,90000,303),
B(301,302,301,90601,304),
B(302,303,302,91204,305),
B(303,304,303,91809,306),
B(304,305,304,92416,307),
B(305,306,305,93025,308),
B(306,307,306,93636,309),
B(307,308,307,94249,310),
B(308,309,308,94864,311),
B(309,310,309,95481,312),
B(310,311,310,96100,313),
B(311,312,311,96721,314),
B(312,313,312,97344,315),
B(313,314,313,97969,316),
B(314,315,314,98596,317),
B(315,316,315,99225,318),
B(316,317,316,99856,319),
B(317,318,317,100489,320),
B(318,319,318,101124,321),
B(319,320,319,101761,322),
B(320,321,320,102400,323),
B(321,322,321,103041,324),
B(322,323,322,103684,325),
B(323,324,323,104329,326),
B(324,325,324,104976,327),
B(325,326,325,105625,328),
B(326,327,326,106276,329),
B(327,328,327,106929,330),
B(328,329,328,107584,331),
B(329,330,329,108241,332),
B(330,331,330,108900,333),
B(331,332,331,109561,334),
B(332,333,332,110224,335),
B(333,334,333,110889,336),
B(334,335,334,111556,337),
B(335,336,335,112225,338),
B(336,337,336,112896,339),
B(337,338,337,113569,340),
B(338,339,338,114244,341),
B(339,340,339,114921,342),
B(340,341,340,115600,343),
B(341,342,341,116281,344),
B(342,343,342,116964,345),
B(343,344,343,117649,346),
B(344,345,344,118336,347),
B(345,346,345,119025,348),
B(346,347,346,119716,349),
B(347,348,347,120409,350),
B(348,349,348,121104,351),
B(349,350,349,121801,352),
B(350,351,350,122500,353),
B(351,352,351,123201,354),
B(352,353,352,123904,355),
B(353,354,353,124609,356),
B(354,355,354,125316,357),
B(355,356,355,126025,358),
B(356,357,356,126736,359),
B(357,358,357,127449,360),
B(358,359,358,128164,361),
B(359,360,359,128881,362),
B(360,361,360,129600,363),
B(361,362,361,130321,364),
B(362,363,362,131044,365),
B(363,364,363,131769,366),
B(364,365,364,132496,367),
B(365,366,365,133225,368),
B(366,367,366,133956,369),
B(367,368,367,134689,370),
B(368,369,368,135424,371),
B(369,370,369,136161,372),
B(370,371,370,136900,373),
B(371,372,371,137641,374),
B(372,373,372,138384,375),
B(373,374,373,139129,376),
B(374,375,374,139876,377),
B(375,376,375,140625,378),
B(376,377,376,141376,379),
B(377,378,377,142129,380),
B(378,379,378,142884,381),
B(379,380,379,143641,382),
B(380,381,380,144400,383),
B(381,382,381,145161,384),
B(382,383,382,145924,385),
B(383,384,383,146689,386),
B(384,385,384,147456,387),
B(385,386,385,148225,388),
B(386,387,386,148996,389),
B(387,388,387,149769,390),
B(388,389,388,150544,391),
B(389,390,389,151321,392),
B(390,391,390,152100,393),
B(391,392,391,152881,394),
B(392,393,392,153664,395),
B(393,394,393,154449,396),
B(394,395,394,155236,397),
B(395,396,395,156025,398),
B(396,397,396,156816,399),
B(397,398,397,157609,400),
B(398,399,398,158404,401),
B(399,400,399,159201,402),
B(400,401,400,160000,403),
B(401,402,401,160801,404),
B(402,403,402,161604,405),
B(403,404,403,162409,406),
B(404,405,404,163216,407),
B(405,406,405,164025,408),
B(406,407,406,164836,409),
B(407,408,407,165649,410),
B(408,409,408,166464,411),
B(409,410,409,167281,412),
B(410,411,410,168100,413),
B(411,412,411,168921,414),
B(412,413,412,169744,415),
B(413,414,413,170569,416),
B(414,415,414,171396,417),
B(415,416,415,172225,418),
B(416,417,416,173056,419),
B(417,418,417,173889,420),
B(418,419,418,174724,421),
B(419,420,419,175561,422),
B(420,421,420,176400,423),
B(421,422,421,177241,424),
B(422,423,422,178084,425),
B(423,424,423,178929,426),
B(424,425,424,179776,427),
B(425,426,425,180625,428),
B(426,427,426,181476,429),
B(427,428,427,182329,430),
B(428,429,428,183184,431),
B(429,430,429,184041,432),
B(430,431,430,184900,433),
B(431,432,431,185761,434),
B(432,433,432,186624,435),
B(433,434,433,187489,436),
B(434,435,434,188356,437),
B(435,436,435,189225,438),
B(436,437,436,190096,439),
B(437,438,437,190969,440),
B(438,439,438,191844,441),
B(439,440,439,192721,442),
B(440,441,440,193600,443),
B(441,442,441,194481,444),
B(442,443,442,195364,445),
B(443,444,443,196249,446),
B(444,445,444,197136,447),
B(445,446,445,198025,448),
B(446,447,446,198916,449),
B(447,448,447,199809,450),
B(448,449,448,200704,451),
B(449,450,449,201601,452),
B(450,451,450,202500,453),
B(451,452,451,203401,454),
B(452,453,452,204304,455),
B(453,454,453,205209,456),
B(454,455,454,206116,457),
B(455,456,455,207025,458),
B(456,457,456,207936,459),
B(457,458,457,208849,460),
B(458,459,458,209764,461),
B(459,460,459,210681,462),
B(460,461,460,211600,463),
B(461,462,461,212521,464),
B(462,463,462,213444,465),
B(463,464,463,214369,466),
B(464,465,464,215296,467),
B(465,466,465,216225,468),
B(466,467,466,217156,469),
B(467,468,467,218089,470),
B(468,469,468,219024,471),
B(469,470,469,219961,472),
B(470,471,470,220900,473),
B(471,472,471,221841,474),
B(472,473,472,222784,475),
B(473,474,473,223729,476),
B(474,475,474,224676,477),
B(475,476,475,225625,478),
B(476,477,476,226576,479),
B(477,478,477,227529,480),
B(478,479,478,228484,481),
B(479,480,479,229441,482),
B(480,481,480,230400,483),
B(481,482,481,231361,484),
B(482,483,482,232324,485),
B(483,484,483,233289,486),
B(484,485,484,234256,487),
B(485,486,485,235225,488),
B(486,487,486,236196,489),
B(487,488,487,237169,490),
B(488,489,488,238144,491),
B(489,490,489,239121,492),
B(490,491,490,240100,493),
B(491,492,491,241081,494),
B(492,493,492,242064,495),
B(493,494,493,243049,496),
B(494,495,494,244036,497),
B(495,496,495,245025,498),
B(496,497,496,246016,499),
B(497,498,497,247009,500),
B(498,499,498,248004,501),
B(499,500,499,249001,502),
B(500,501,500,250000,503),
B(501,502,501,251001,504),
B(502,503,502,252004,505),
B(503,504,503,253009,506),
B(504,505,504,254016,507),
B(505,506,505,255025,508),
B(506,507,506,256036,509),
B(507,508,507,257049,510),
B(508,509,508,258064,511),
B(509,510,509,259081,512),
B(510,511,510,260100,513),
B(511,512,511,261121,514),
B(512,513,512,262144,515),
B(513,514,513,263169,516),
B(514,515,514,264196,517),
B(515,516,515,265225,518),
B(516,517,516,266256,519),
B(517,518,517,267289,520),
B(518,519,518,268324,521),
B(519,520,519,269361,522),
B(520,521,520,270400,523),
B(521,522,521,271441,524),
B(522,523,522,272484,525),
B(523,524,523,273529,526),
B(524,525,524,274576,527),
B(525,526,525,275625,528),
B(526,527,526,276676,529),
B(527,528,527,277729,530),
B(528,529,528,278784,531),
B(529,530,529,279841,532),
B(530,531,530,280900,533),
B(531,532,531,281961,534),
B(532,533,532,283024,535),
B(533,534,533,284089,536),
B(534,535,534,285156,537),
B(535,536,535,286225,538),
B(536,537,536,287296,539),
B(537,538,537,288369,540),
B(538,539,538,289444,541),
B(539,540,539,290521,542),
B(540,541,540,291600,543),
B(541,542,541,292681,544),
B(542,543,542,293764,545),
B(543,544,543,294849,546),
B(544,545,544,295936,547),
B(545,546,545,297025,548),
B(546,547,546,298116,549),
B(547,548,547,299209,550),
B(548,549,548,300304,551),
B(549,550,549,301401,552),
B(550,551,550,302500,553),
B(551,552,551,303601,554),
B(552,553,552,304704,555),
B(553,554,553,305809,556),
B(554,555,554,306916,557),
B(555,556,555,308025,558),
B(556,557,556,309136,559),
B(557,558,557,310249,560),
B(558,559,558,311364,561),
B(559,560,559,312481,562),
B(560,561,560,313600,563),
B(561,562,561,314721,564),
B(562,563,562,315844,565),
B(563,564,563,316969,566),
B(564,565,564,318096,567),
B(565,566,565,319225,568),
B(566,567,566,320356,569),
B(567,568,567,321489,570),
B(568,569,568,322624,571),
B(569,570,569,323761,572),
B(570,571,570,324900,573),
B(571,572,571,326041,574),
B(572,573,572,327184,575),
B(573,574,573,328329,576),
B(574,575,574,329476,577),
B(575,576,575,330625,578),
B(576,577,576,331776,579),
B(577,578,577,332929,580),
B(578,579,578,334084,581),
B(579,580,579,335241,582),
B(580,581,580,336400,583),
B(581,582,581,337561,584),
B(582,583,582,338724,585),
B(583,584,583,339889,586),
B(584,585,584,341056,587),
B(585,586,585,342225,588),
B(586,587,586,343396,589),
B(587,588,587,344569,590),
B(588,589,588,345744,591),
B(589,590,589,346921,592),
B(590,591,590,348100,593),
B(591,592,591,349281,594),
B(592,593,592,350464,595),
B(593,594,593,351649,596),
B(594,595,594,352836,597),
B(595,596,595,354025,598),
B(596,597,596,355216,599),
B(597,598,597,356409,600),
B(598,599,598,357604,601),
B(599,600,599,358801,602),
B(600,601,600,360000,603),
B(601,602,601,361201,604),
B(602,603,602,362404,605),
B(603,604,603,363609,606),
B(604,605,604,364816,607),
B(605,606,605,366025,608),
B(606,607,606,367236,609),
B(607,608,607,368449,610),
B(608,609,608,369664,611),
B(609,610,609,370881,612),
B(610,611,610,372100,613),
B(611,612,611,373321,614),
B(612,613,612,374544,615),
B(613,614,613,375769,616),
B(614,615,614,376996,617),
B(615,616,615,378225,618),
B(616,617,616,379456,619),
B(617,618,617,380689,620),
B(618,619,618,381924,621),
B(619,620,619,383161,622),
B(620,621,620,384400,623),
B(621,622,621,385641,624),
B(622,623,622,386884,625),
B(623,624,623,388129,626),
B(624,625,624,389376,627),
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B(1097,1098,1097,1203409,1100),
B(1098,1099,1098,1205604,1101),
B(1099,1100,1099,1207801,1102),
B(1100,1101,1100,1210000,1103),
B(1101,1102,1101,1212201,1104),
B(1102,1103,1102,1214404,1105),
B(1103,1104,1103,1216609,1106),
B(1104,1105,1104,1218816,1107),
B(1105,1106,1105,1221025,1108),
B(1106,1107,1106,1223236,1109),
B(1107,1108,1107,1225449,1110),
B(1108,1109,1108,1227664,1111),
B(1109,1110,1109,1229881,1112),
B(1110,1111,1110,1232100,1113),
B(1111,1112,1111,1234321,1114),
B(1112,1113,1112,1236544,1115),
B(1113,1114,1113,1238769,1116),
B(1114,1115,1114,1240996,1117),
B(1115,1116,1115,1243225,1118),
B(1116,1117,1116,1245456,1119),
B(1117,1118,1117,1247689,1120),
B(1118,1119,1118,1249924,1121),
B(1119,1120,1119,1252161,1122),
B(1120,1121,1120,1254400,1123),
B(1121,1122,1121,1256641,1124),
B(1122,1123,1122,1258884,1125),
B(1123,1124,1123,1261129,1126),
B(1124,1125,1124,1263376,1127),
B(1125,1126,1125,1265625,1128),
B(1126,1127,1126,1267876,1129),
B(1127,1128,1127,1270129,1130),
B(1128,1129,1128,1272384,1131),
B(1129,1130,1129,1274641,1132),
B(1130,1131,1130,1276900,1133),
B(1131,1132,1131,1279161,1134),
B(1132,1133,1132,1281424,1135),
B(1133,1134,1133,1283689,1136),
B(1134,1135,1134,1285956,1137),
B(1135,1136,1135,1288225,1138),
B(1136,1137,1136,1290496,1139),
B(1137,1138,1137,1292769,1140),
B(1138,1139,1138,1295044,1141),
B(1139,1140,1139,1297321,1142),
B(1140,1141,1140,1299600,1143),
B(1141,1142,1141,1301881,1144),
B(1142,1143,1142,1304164,1145),
B(1143,1144,1143,1306449,1146),
B(1144,1145,1144,1308736,1147),
B(1145,1146,1145,1311025,1148),
B(1146,1147,1146,1313316,1149),
B(1147,1148,1147,1315609,1150),
B(1148,1149,1148,1317904,1151),
B(1149,1150,1149,1320201,1152),
B(1150,1151,1150,1322500,1153),
B(1151,1152,1151,1324801,1154),
B(1152,1153,1152,1327104,1155),
B(1153,1154,1153,1329409,1156),
B(1154,1155,1154,1331716,1157),
B(1155,1156,1155,1334025,1158),
B(1156,1157,1156,1336336,1159),
B(1157,1158,1157,1338649,1160),
B(1158,1159,1158,1340964,1161),
B(1159,1160,1159,1343281,1162),
B(1160,1161,1160,1345600,1163),
B(1161,1162,1161,1347921,1164),
B(1162,1163,1162,1350244,1165),
B(1163,1164,1163,1352569,1166),
B(1164,1165,1164,1354896,1167),
B(1165,1166,1165,1357225,1168),
B(1166,1167,1166,1359556,1169),
B(1167,1168,1167,1361889,1170),
B(1168,1169,1168,1364224,1171),
B(1169,1170,1169,1366561,1172),
B(1170,1171,1170,1368900,1173),
B(1171,1172,1171,1371241,1174),
B(1172,1173,1172,1373584,1175),
B(1173,1174,1173,1375929,1176),
B(1174,1175,1174,1378276,1177),
B(1175,1176,1175,1380625,1178),
B(1176,1177,1176,1382976,1179),
B(1177,1178,1177,1385329,1180),
B(1178,1179,1178,1387684,1181),
B(1179,1180,1179,1390041,1182),
B(1180,1181,1180,1392400,1183),
B(1181,1182,1181,1394761,1184),
B(1182,1183,1182,1397124,1185),
B(1183,1184,1183,1399489,1186),
B(1184,1185,1184,1401856,1187),
B(1185,1186,1185,1404225,1188),
B(1186,1187,1186,1406596,1189),
B(1187,1188,1187,1408969,1190),
B(1188,1189,1188,1411344,1191),
B(1189,1190,1189,1413721,1192),
B(1190,1191,1190,1416100,1193),
B(1191,1192,1191,1418481,1194),
B(1192,1193,1192,1420864,1195),
B(1193,1194,1193,1423249,1196),
B(1194,1195,1194,1425636,1197),
B(1195,1196,1195,1428025,1198),
B(1196,1197,1196,1430416,1199),
B(1197,1198,1197,1432809,1200),
B(1198,1199,1198,1435204,1201),
B(1199,1200,1199,1437601,1202),
B(1200,1201,1200,1440000,1203),
B(1201,1202,1201,1442401,1204),
B(1202,1203,1202,1444804,1205),
B(1203,1204,1203,1447209,1206),
B(1204,1205,1204,1449616,1207),
B(1205,1206,1205,1452025,1208),
B(1206,1207,1206,1454436,1209),
B(1207,1208,1207,1456849,1210),
B(1208,1209,1208,1459264,1211),
B(1209,1210,1209,1461681,1212),
B(1210,1211,1210,1464100,1213),
B(1211,1212,1211,1466521,1214),
B(1212,1213,1212,1468944,1215),
B(1213,1214,1213,1471369,1216),
B(1214,1215,1214,1473796,1217),
B(1215,1216,1215,1476225,1218),
B(1216,1217,1216,1478656,1219),
B(1217,1218,1217,1481089,1220),
B(1218,1219,1218,1483524,1221),
B(1219,1220,1219,1485961,1222),
B(1220,1221,1220,1488400,1223),
B(1221,1222,1221,1490841,1224),
B(1222,1223,1222,1493284,1225),
B(1223,1224,1223,1495729,1226),
B(1224,1225,1224,1498176,1227),
B(1225,1226,1225,1500625,1228),
B(1226,1227,1226,1503076,1229),
B(1227,1228,1227,1505529,1230),
B(1228,1229,1228,1507984,1231),
B(1229,1230,1229,1510441,1232),
B(1230,1231,1230,1512900,1233),
B(1231,1232,1231,1515361,1234),
B(1232,1233,1232,1517824,1235),
B(1233,1234,1233,1520289,1236),
B(1234,1235,1234,1522756,1237),
B(1235,1236,1235,1525225,1238),
B(1236,1237,1236,1527696,1239),
B(1237,1238,1237,1530169,1240),
B(1238,1239,1238,1532644,1241),
B(1239,1240,1239,1535121,1242),
B(1240,1241,1240,1537600,1243),
B(1241,1242,1241,1540081,1244),
B(1242,1243,1242,1542564,1245),
B(1243,1244,1243,1545049,1246),
B(1244,1245,1244,1547536,1247),
B(1245,1246,1245,1550025,1248),
B(1246,1247,1246,1552516,1249),
B(1247,1248,1247,1555009,1250),
B(1248,1249,1248,1557504,1251),
B(1249,1250,1249,1560001,1252),
B(1250,1251,1250,1562500,1253),
B(1251,1252,1251,1565001,1254),
B(1252,1253,1252,1567504,1255),
B(1253,1254,1253,1570009,1256),
B(1254,1255,1254,1572516,1257),
B(1255,1256,1255,1575025,1258),
B(1256,1257,1256,1577536,1259),
B(1257,1258,1257,1580049,1260),
B(1258,1259,1258,1582564,1261),
B(1259,1260,1259,1585081,1262),
B(1260,1261,1260,1587600,1263),
B(1261,1262,1261,1590121,1264),
B(1262,1263,1262,1592644,1265),
B(1263,1264,1263,1595169,1266),
B(1264,1265,1264,1597696,1267),
B(1265,1266,1265,1600225,1268),
B(1266,1267,1266,1602756,1269),
B(1267,1268,1267,1605289,1270),
B(1268,1269,1268,1607824,1271),
B(1269,1270,1269,1610361,1272),
B(1270,1271,1270,1612900,1273),
B(1271,1272,1271,1615441,1274),
B(1272,1273,1272,1617984,1275),
B(1273,1274,1273,1620529,1276),
B(1274,1275,1274,1623076,1277),
B(1275,1276,1275,1625625,1278),
B(1276,1277,1276,1628176,1279),
B(1277,1278,1277,1630729,1280),
B(1278,1279,1278,1633284,1281),
B(1279,1280,1279,1635841,1282),
B(1280,1281,1280,1638400,1283),
B(1281,1282,1281,1640961,1284),
B(1282,1283,1282,1643524,1285),
B(1283,1284,1283,1646089,1286),
B(1284,1285,1284,1648656,1287),
B(1285,1286,1285,1651225,1288),
B(1286,1287,1286,1653796,1289),
B(1287,1288,1287,1656369,1290),
B(1288,1289,1288,1658944,1291),
B(1289,1290,1289,1661521,1292),
B(1290,1291,1290,1664100,1293),
B(1291,1292,1291,1666681,1294),
B(1292,1293,1292,1669264,1295),
B(1293,1294,1293,1671849,1296),
B(1294,1295,1294,1674436,1297),
B(1295,1296,1295,1677025,1298),
B(1296,1297,1296,1679616,1299),
B(1297,1298,1297,1682209,1300),
B(1298,1299,1298,1684804,1301),
B(1299,1300,1299,1687401,1302),
B(1300,1301,1300,1690000,1303),
B(1301,1302,1301,1692601,1304),
B(1302,1303,1302,1695204,1305),
B(1303,1304,1303,1697809,1306),
B(1304,1305,1304,1700416,1307),
B(1305,1306,1305,1703025,1308),
B(1306,1307,1306,1705636,1309),
B(1307,1308,1307,1708249,1310),
B(1308,1309,1308,1710864,1311),
B(1309,1310,1309,1713481,1312),
B(1310,1311,1310,1716100,1313),
B(1311,1312,1311,1718721,1314),
B(1312,1313,1312,1721344,1315),
B(1313,1314,1313,1723969,1316),
B(1314,1315,1314,1726596,1317),
B(1315,1316,1315,1729225,1318),
B(1316,1317,1316,1731856,1319),
B(1317,1318,1317,1734489,1320),
B(1318,1319,1318,1737124,1321),
B(1319,1320,1319,1739761,1322),
B(1320,1321,1320,1742400,1323),
B(1321,1322,1321,1745041,1324),
B(1322,1323,1322,1747684,1325),
B(1323,1324,1323,1750329,1326),
B(1324,1325,1324,1752976,1327),
B(1325,1326,1325,1755625,1328),
B(1326,1327,1326,1758276,1329),
B(1327,1328,1327,1760929,1330),
B(1328,1329,1328,1763584,1331),
B(1329,1330,1329,1766241,1332),
B(1330,1331,1330,1768900,1333),
B(1331,1332,1331,1771561,1334),
B(1332,1333,1332,1774224,1335),
B(1333,1334,1333,1776889,1336),
B(1334,1335,1334,1779556,1337),
B(1335,1336,1335,1782225,1338),
B(1336,1337,1336,1784896,1339),
B(1337,1338,1337,1787569,1340),
B(1338,1339,1338,1790244,1341),
B(1339,1340,1339,1792921,1342),
B(1340,1341,1340,1795600,1343),
B(1341,1342,1341,1798281,1344),
B(1342,1343,1342,1800964,1345),
B(1343,1344,1343,1803649,1346),
B(1344,1345,1344,1806336,1347),
B(1345,1346,1345,1809025,1348),
B(1346,1347,1346,1811716,1349),
B(1347,1348,1347,1814409,1350),
B(1348,1349,1348,1817104,1351),
B(1349,1350,1349,1819801,1352),
B(1350,1351,1350,1822500,1353),
B(1351,1352,1351,1825201,1354),
B(1352,1353,1352,1827904,1355),
B(1353,1354,1353,1830609,1356),
B(1354,1355,1354,1833316,1357),
B(1355,1356,1355,1836025,1358),
B(1356,1357,1356,1838736,1359),
B(1357,1358,1357,1841449,1360),
B(1358,1359,1358,1844164,1361),
B(1359,1360,1359,1846881,1362),
B(1360,1361,1360,1849600,1363),
B(1361,1362,1361,1852321,1364),
B(1362,1363,1362,1855044,1365),
B(1363,1364,1363,1857769,1366),
B(1364,1365,1364,1860496,1367),
B(1365,1366,1365,1863225,1368),
B(1366,1367,1366,1865956,1369),
B(1367,1368,1367,1868689,1370),
B(1368,1369,1368,1871424,1371),
B(1369,1370,1369,1874161,1372),
B(1370,1371,1370,1876900,1373),
B(1371,1372,1371,1879641,1374),
B(1372,1373,1372,1882384,1375),
B(1373,1374,1373,1885129,1376),
B(1374,1375,1374,1887876,1377),
B(1375,1376,1375,1890625,1378),
B(1376,1377,1376,1893376,1379),
B(1377,1378,1377,1896129,1380),
B(1378,1379,1378,1898884,1381),
B(1379,1380,1379,1901641,1382),
B(1380,1381,1380,1904400,1383),
B(1381,1382,1381,1907161,1384),
B(1382,1383,1382,1909924,1385),
B(1383,1384,1383,1912689,1386),
B(1384,1385,1384,1915456,1387),
B(1385,1386,1385,1918225,1388),
B(1386,1387,1386,1920996,1389),
B(1387,1388,1387,1923769,1390),
B(1388,1389,1388,1926544,1391),
B(1389,1390,1389,1929321,1392),
B(1390,1391,1390,1932100,1393),
B(1391,1392,1391,1934881,1394),
B(1392,1393,1392,1937664,1395),
B(1393,1394,1393,1940449,1396),
B(1394,1395,1394,1943236,1397),
B(1395,1396,1395,1946025,1398),
B(1396,1397,1396,1948816,1399),
B(1397,1398,1397,1951609,1400),
B(1398,1399,1398,1954404,1401),
B(1399,1400,1399,1957201,1402),
B(1400,1401,1400,1960000,1403),
B(1401,1402,1401,1962801,1404),
B(1402,1403,1402,1965604,1405),
B(1403,1404,1403,1968409,1406),
B(1404,1405,1404,1971216,1407),
B(1405,1406,1405,1974025,1408),
B(1406,1407,1406,1976836,1409),
B(1407,1408,1407,1979649,1410),
B(1408,1409,1408,1982464,1411),
B(1409,1410,1409,1985281,1412),
B(1410,1411,1410,1988100,1413),
B(1411,1412,1411,1990921,1414),
B(1412,1413,1412,1993744,1415),
B(1413,1414,1413,1996569,1416),
B(1414,1415,1414,1999396,1417),
B(1415,1416,1415,2002225,1418),
B(1416,1417,1416,2005056,1419),
B(1417,1418,1417,2007889,1420),
B(1418,1419,1418,2010724,1421),
B(1419,1420,1419,2013561,1422),
B(1420,1421,1420,2016400,1423),
B(1421,1422,1421,2019241,1424),
B(1422,1423,1422,2022084,1425),
B(1423,1424,1423,2024929,1426),
B(1424,1425,1424,2027776,1427),
B(1425,1426,1425,2030625,1428),
B(1426,1427,1426,2033476,1429),
B(1427,1428,1427,2036329,1430),
B(1428,1429,1428,2039184,1431),
B(1429,1430,1429,2042041,1432),
B(1430,1431,1430,2044900,1433),
B(1431,1432,1431,2047761,1434),
B(1432,1433,1432,2050624,1435),
B(1433,1434,1433,2053489,1436),
B(1434,1435,1434,2056356,1437),
B(1435,1436,1435,2059225,1438),
B(1436,1437,1436,2062096,1439),
B(1437,1438,1437,2064969,1440),
B(1438,1439,1438,2067844,1441),
B(1439,1440,1439,2070721,1442),
B(1440,1441,1440,2073600,1443),
B(1441,1442,1441,2076481,1444),
B(1442,1443,1442,2079364,1445),
B(1443,1444,1443,2082249,1446),
B(1444,1445,1444,2085136,1447),
B(1445,1446,1445,2088025,1448),
B(1446,1447,1446,2090916,1449),
B(1447,1448,1447,2093809,1450),
B(1448,1449,1448,2096704,1451),
B(1449,1450,1449,2099601,1452),
B(1450,1451,1450,2102500,1453),
B(1451,1452,1451,2105401,1454),
B(1452,1453,1452,2108304,1455),
B(1453,1454,1453,2111209,1456),
B(1454,1455,1454,2114116,1457),
B(1455,1456,1455,2117025,1458),
B(1456,1457,1456,2119936,1459),
B(1457,1458,1457,2122849,1460),
B(1458,1459,1458,2125764,1461),
B(1459,1460,1459,2128681,1462),
B(1460,1461,1460,2131600,1463),
B(1461,1462,1461,2134521,1464),
B(1462,1463,1462,2137444,1465),
B(1463,1464,1463,2140369,1466),
B(1464,1465,1464,2143296,1467),
B(1465,1466,1465,2146225,1468),
B(1466,1467,1466,2149156,1469),
B(1467,1468,1467,2152089,1470),
B(1468,1469,1468,2155024,1471),
B(1469,1470,1469,2157961,1472),
B(1470,1471,1470,2160900,1473),
B(1471,1472,1471,2163841,1474),
B(1472,1473,1472,2166784,1475),
B(1473,1474,1473,2169729,1476),
B(1474,1475,1474,2172676,1477),
B(1475,1476,1475,2175625,1478),
B(1476,1477,1476,2178576,1479),
B(1477,1478,1477,2181529,1480),
B(1478,1479,1478,2184484,1481),
B(1479,1480,1479,2187441,1482),
B(1480,1481,1480,2190400,1483),
B(1481,1482,1481,2193361,1484),
B(1482,1483,1482,2196324,1485),
B(1483,1484,1483,2199289,1486),
B(1484,1485,1484,2202256,1487),
B(1485,1486,1485,2205225,1488),
B(1486,1487,1486,2208196,1489),
B(1487,1488,1487,2211169,1490),
B(1488,1489,1488,2214144,1491),
B(1489,1490,1489,2217121,1492),
B(1490,1491,1490,2220100,1493),
B(1491,1492,1491,2223081,1494),
B(1492,1493,1492,2226064,1495),
B(1493,1494,1493,2229049,1496),
B(1494,1495,1494,2232036,1497),
B(1495,1496,1495,2235025,1498),
B(1496,1497,1496,2238016,1499),
B(1497,1498,1497,2241009,1500),
B(1498,1499,1498,2244004,1501),
B(1499,1500,1499,2247001,1502),
B(1500,1501,1500,2250000,1503),
B(1501,1502,1501,2253001,1504),
B(1502,1503,1502,2256004,1505),
B(1503,1504,1503,2259009,1506),
B(1504,1505,1504,2262016,1507),
B(1505,1506,1505,2265025,1508),
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