begin %usmap_info%

AK(1, x, y) :- 
    -27x+39y < 5682,
    8x+67y < 14656,
    75x+19y < 15575,
    -33x+33y > -1683,
    -53x+57y > -2335,
    59x+43y > 6751,
    -83x+8y < -2785.

AK(1, x, y) :- 
    28x+9y < 6053,
    -5x+42y > 3149,
    -33x+33y < -1683.

AK(1, x, y) :- 
    34x+80y < 14050,
    -16x+13y > -3421,
    41x+67y > 13481,
    9x > 1665.


HI(2, x, y) :- 
    -24x+10y < -7298,
    28x+30y < 12806,
    -18x+24y > -4986,
    22x+16y > 8678.


WA(3, x, y) :- 
    7x+36y < 20488,
    -39x+22y > 10270,
    46x+14y > 8660.

WA(3, x, y) :- 
    88y < 50776,
    57x < 7980,
    39x+88y > 51220,
    18x > 936.

WA(3, x, y) :- 
    39x+88y < 51220,
    110y > 57200,
    -39x+22y < 10270.


MT(4, x, y) :- 
    80x+82y < 59634,
    -10x+30y > 12550,
    90x+52y > 43864.

MT(4, x, y) :- 
    194y < 111938,
    80x < 27840,
    112y > 55664,
    80x+82y > 59634.


OR(5, x, y) :- 
    110y < 57200,
    80x < 11200,
    115y > 50600,
    -80x+5y < 200.


ID(6, x, y) :- 
    14y < 8078,
    137x+82y < 68412,
    96y > 42240,
    137x > 19180.

ID(6, x, y) :- 
    -10x+30y < 12550,
    57x < 13452,
    47x+30y > 24292.


WY(7, x, y) :- 
    112y < 55664,
    79x < 27492,
    112y > 46816,
    79x > 18644.


CA(8, x, y) :- 
    68y < 29920,
    59x < 5487,
    -93x+7y > -5982,
    116x+63y > 28120,
    -36x+2y < -20.

CA(8, x, y) :- 
    81x+85y < 39918,
    49x < 8722,
    6x+41y > 11359,
    31x+51y > 17354,
    -93x+7y < -5982.


NV(9, x, y) :- 
    94y < 41360,
    101x < 18887,
    -39x+9y > -4242,
    81x+85y > 39918,
    59x > 5487.


AZ(10, x, y) :- 
    81y < 27459,
    116x < 31088,
    36y > 8028,
    28x+54y > 18538,
    49x > 8722,
    -39x+9y < -4242.


UT(11, x, y) :- 
    81y < 33858,
    79x < 21172,
    81y > 27459,
    79x > 14773.

UT(11, x, y) :- 
    49y < 21560,
    22x < 5192,
    49y > 20482,
    22x > 4114.


CO(12, x, y) :- 
    111y < 46398,
    79x < 29941,
    111y > 37629,
    79x > 21172.


NM(13, x, y) :- 
    97y < 32883,
    102x < 37230,
    58y > 13746,
    102x+39y > 40557.

NM(13, x, y) :- 
    102x+39y < 40557,
    -14x+39y > 4945,
    116x > 31088.


TX(14, x, y) :- 
    58y < 13746,
    43x+14y < 19013,
    -18x+16y > -3718,
    61x+56y > 31999.

TX(14, x, y) :- 
    48y < 15744,
    37x < 15281,
    -54x+48y > -8334,
    91x > 33215.

TX(14, x, y) :- 
    18x+86y < 32460,
    4x+8y < 4180,
    74x+7y < 39401,
    -35x+51y > -8045,
    34x+84y > 29182,
    43x+14y > 19013,
    -54x+48y < -8334.

TX(14, x, y) :- 
    34x+84y < 29182,
    -45x+9y > -19395,
    79x+75y > 44491.


SD(15, x, y) :- 
    -10x+26y < 7478,
    18x < 8442,
    8x+26y > 15452.

SD(15, x, y) :- 
    120y < 62160,
    50x+1y < 23918,
    -10x+26y > 7478,
    95y > 43510,
    60x > 20880.


OK(16, x, y) :- 
    48y < 16272,
    11x < 4543,
    48y > 15744,
    11x > 4015.

OK(16, x, y) :- 
    86y < 29154,
    66x < 32934,
    18x+86y > 32460,
    48x > 19824.


KS(17, x, y) :- 
    107y < 42586,
    17x+13y < 13436,
    42x < 20958,
    120y > 40680,
    59x > 22361.


NE(18, x, y) :- 
    49y < 22442,
    -40x+18y > -7636,
    31y > 12958,
    40x > 13920.

NE(18, x, y) :- 
    -60x+9y > -19698,
    9y > 3582,
    20x > 7580,
    -40x+18y < -7636.

NE(18, x, y) :- 
    46y < 21068,
    8x+26y < 15452,
    52x+17y < 32038,
    98y > 39004,
    -60x+9y < -19698.


ND(19, x, y) :- 
    109y < 62893,
    59x+11y < 33310,
    120y > 62160,
    59x > 20532.


LA(20, x, y) :- 
    -1x+45y < 11102,
    -42x+6y > -21672,
    -22x+33y > -4873,
    63x+6y > 33552.

LA(20, x, y) :- 
    32y < 6944,
    37x < 21423,
    15x+65y > 20385,
    -22x+33y < -4873.


AR(21, x, y) :- 
    84y < 27636,
    -60x+76y > -9976,
    4x+8y > 4180,
    56x > 27944.

AR(21, x, y) :- 
    -70x+30y > -30940,
    -1x+45y > 11102,
    11x+1y > 5846,
    -60x+76y < -9976.


MO(22, x, y) :- 
    -27x+50y < 5577,
    79x+34y < 57243,
    84y > 27636,
    52x > 25948.

MO(22, x, y) :- 
    67y < 27336,
    -27x+50y > 5577,
    17x+13y > 13436,
    10x+4y > 6452.


IA(23, x, y) :- 
    83y < 38844,
    21x+13y < 17676,
    -39x+16y > -14883,
    67y > 27336,
    42x+13y > 25548,
    18x > 8442.


MN(24, x, y) :- 
    -27x+61y < 15885,
    27x+22y < 25200,
    83y > 38844.

MN(24, x, y) :- 
    -16x+69y < 28254,
    -39x+7y > -17205,
    -27x+61y > 15885,
    50x+1y > 23918.

MN(24, x, y) :- 
    43x+80y < 65811,
    -16x+69y > 28254,
    59x+11y > 33310.

MN(24, x, y) :- 
    20x+121y < 78957,
    -23x+41y > 9543,
    43x+80y > 65811.


WI(25, x, y) :- 
    2x+27y < 15492,
    20x+53y < 39476,
    -44x+65y > 6132,
    27x+22y > 25200,
    -39x+7y < -17205.

WI(25, x, y) :- 
    -44x+65y < 6132,
    -65x+7y > -36521,
    45y > 20115,
    21x+13y > 17676.


IL(26, x, y) :- 
    45y < 20115,
    74x < 45140,
    -17x+9y > -7013,
    -27x+18y > -9819,
    79x+34y > 57243,
    -39x+16y < -14883.

IL(26, x, y) :- 
    13x+29y < 18747,
    -4x+38y > 11124,
    -17x+9y < -7013.


MS(27, x, y) :- 
    35y < 10395,
    -80x+7y > -46241,
    50y > 10850,
    -42x+6y < -21672,
    -38x+16y < -16870.

MS(27, x, y) :- 
    18y < 3906,
    14x < 8358,
    18y > 3654,
    14x > 8106.


AL(28, x, y) :- 
    38y < 11286,
    80x+11y < 54627,
    56y > 12152,
    -80x+7y < -46241.

AL(28, x, y) :- 
    17y < 3689,
    14x < 8596,
    17y > 3451,
    14x > 8358.


TN(29, x, y) :- 
    124y < 40796,
    -32x+47y > -7161,
    91y > 27027,
    -32x+14y < -14050.


KY(30, x, y) :- 
    -4x+38y < 11124,
    31x+39y < 33849,
    95y > 31255,
    -27x+18y < -9819.

KY(30, x, y) :- 
    10x+34y < 19446,
    21x+10y < 18180,
    -19x+22y > -5644,
    31x+39y > 33849,
    -19x+17y < -6021.


IN(31, x, y) :- 
    46y < 19918,
    54x < 35424,
    -19x+17y > -6021,
    13x+29y > 18747,
    60x > 36600.


MI(32, x, y) :- 
    64x+33y < 59365,
    -19x+16y > -5938,
    51y > 22134,
    36x > 22572,
    -47x+34y < -13489.

MI(32, x, y) :- 
    101y < 53732,
    15x+10y < 15295,
    -5x+58y > 26611,
    20x+53y > 39476.


OH(33, x, y) :- 
    67y < 29011,
    40x+2y < 29786,
    -24x+35y > -3645,
    10x+34y > 19446,
    54x > 35424.


WV(34, x, y) :- 
    -24x+35y < -3645,
    41y < 16113,
    -52x+55y > -18217,
    7x+11y > 8728,
    21x+10y > 18180.


VA(35, x, y) :- 
    64x+33y < 61993,
    75y > 24675,
    12x+13y > 12965,
    -52x+55y < -18217.

VA(35, x, y) :- 
    7x+11y < 8728,
    -12x+33y > 2721,
    -19x+22y < -5644.

VA(35, x, y) :- 
    12x+13y < 12965,
    46y > 15134,
    -12x+33y < 2721.


NC(36, x, y) :- 
    92y < 30268,
    -32x+63y > -4841,
    76y > 22572,
    -32x+47y < -7161.

NC(36, x, y) :- 
    26x+6y < 22748,
    -29x+52y > -7589,
    23x+17y > 21977,
    -32x+63y < -4841.


SC(37, x, y) :- 
    58y < 17226,
    23x+17y < 21977,
    -33x+35y > -15259,
    56x+40y > 49848.


GA(38, x, y) :- 
    36y < 10692,
    56x+40y < 49848,
    -31x+10y > -19848,
    51y > 10710,
    7x+4y > 5439,
    80x+11y > 54627.


FL(39, x, y) :- 
    39y < 8463,
    23x+16y < 18491,
    9x+55y > 16691,
    14x > 8596.

FL(39, x, y) :- 
    51y < 10710,
    82x+26y < 63516,
    -31x+14y > -20962,
    113x+63y > 87471.


MD(40, x, y) :- 
    35y < 13755,
    -64x+2y > -50478,
    64x+33y > 61993.


DE(41, x, y) :- 
    21x+13y < 21930,
    -43x+15y > -29422,
    -64x+2y < -50478.


NJ(42, x, y) :- 
    12x+15y < 16221,
    -43x+19y > -27934,
    21x+13y > 21930,
    -34x+17y < -20553.


PA(43, x, y) :- 
    86y < 37238,
    6x+9y < 8751,
    -34x+17y > -20553,
    76y > 29868,
    40x+2y > 29786.


CT(44, x, y) :- 
    27y < 11691,
    14x < 12040,
    -4x+27y > 7873,
    18x > 14994.


RI(45, x, y) :- 
    33y < 14289,
    10x < 8930,
    -4x+33y > 10387,
    14x > 12040.


MA(46, x, y) :- 
    43y < 19350,
    17x < 14892,
    43y > 18619,
    17x > 14161.


VT(47, x, y) :- 
    32y < 15968,
    -49x+18y > -33697,
    20y > 9000,
    -49x+6y < -38117.


NH(48, x, y) :- 
    43x+9y < 42127,
    -12x+7y > -7362,
    23y > 10350,
    -55x+21y < -37465.


ME(49, x, y) :- 
    -41x+33y < -19169,
    5x+21y < 16001,
    91x+12y < 90940,
    12x+57y > 36930,
    43x+9y > 42127.


NY(50, x, y) :- 
    -66x+90y < -8748,
    26y < 12974,
    -66x+6y > -52380,
    110y > 47630.

NY(50, x, y) :- 
    24y < 10392,
    -6x+15y > 1497,
    6x+9y > 8751.

NY(50, x, y) :- 
    -6x+15y < 1497,
    18x < 14994,
    12x+15y > 16221.


/* unit is km */
Scale(5.41).

/* the capital cities */
Capital( 1, name) :- name="Juneau".
Capital( 2, name) :- name="Honolulu".
Capital( 3, name) :- name="Seattle".
Capital( 4, name) :- name="Helena".
Capital( 5, name) :- name="Salem".
Capital( 6, name) :- name="Boise".
Capital( 7, name) :- name="Cheyenne".
Capital( 8, name) :- name="Sacramento".
Capital( 9, name) :- name="Carson".
Capital(10, name) :- name="Phoenix".
Capital(11, name) :- name="Salt Lake City".
Capital(12, name) :- name="Denver".
Capital(13, name) :- name="Santa Fe".
Capital(14, name) :- name="Austin".
Capital(15, name) :- name="Pierre".
Capital(16, name) :- name="Oklahoma City".
Capital(17, name) :- name="Topeka".
Capital(18, name) :- name="Lincoln".
Capital(19, name) :- name="Bismarck".
Capital(20, name) :- name="Baton Rouge".
Capital(21, name) :- name="Little Rock".
Capital(22, name) :- name="Jefferson City".
Capital(23, name) :- name="Des Moines".
Capital(24, name) :- name="St. Paul".
Capital(25, name) :- name="Madison".
Capital(26, name) :- name="Springfield".
Capital(27, name) :- name="Jackson".
Capital(28, name) :- name="Montgomery".
Capital(29, name) :- name="Nashville".
Capital(30, name) :- name="Frankfort".
Capital(31, name) :- name="Indianapolis".
Capital(32, name) :- name="Lansing".
Capital(33, name) :- name="Columbus".
Capital(34, name) :- name="Charleston".
Capital(35, name) :- name="Richmond".
Capital(36, name) :- name="Raleigh".
Capital(37, name) :- name="Columbia".
Capital(38, name) :- name="Atlanta".
Capital(39, name) :- name="Tallahassee".
Capital(40, name) :- name="Annapolis".
Capital(41, name) :- name="Dover".
Capital(42, name) :- name="Trenton".
Capital(43, name) :- name="Harrisburg".
Capital(44, name) :- name="hartford".
Capital(45, name) :- name="Providence".
Capital(46, name) :- name="Boston".
Capital(47, name) :- name="Montpelier".
Capital(48, name) :- name="Concord".
Capital(49, name) :- name="Augusta".
Capital(50, name) :- name="Albany".

/* the time zones */

HST(1, x, y) :- 
    -24x+10y <= -7298,
    28x+30y <= 12806,
    -18x+24y >= -4986,
    22x+16y >= 8678.


AKST(2, x, y) :- 
    -27x+39y <= 5682,
    8x+67y <= 14656,
    75x+19y <= 15575,
    -33x+33y >= -1683,
    -53x+57y >= -2335,
    59x+43y >= 6751,
    -83x+8y <= -2785.

AKST(2, x, y) :- 
    28x+9y <= 6053,
    -5x+42y >= 3149,
    -33x+33y <= -1683.

AKST(2, x, y) :- 
    34x+80y <= 14050,
    -16x+13y >= -3421,
    41x+67y >= 13481,
    9x >= 1665.


PST(3, x, y) :- 
    7x+36y <= 20488,
    -39x+22y >= 10270,
    46x+14y >= 8660.

PST(3, x, y) :- 
    88y <= 50776,
    57x <= 7980,
    39x+88y >= 51220,
    18x >= 936.

PST(3, x, y) :- 
    39x+88y <= 51220,
    110y >= 57200,
    -39x+22y <= 10270.

PST(3, x, y) :- 
    14y <= 8078,
    57x+34y <= 28396,
    48y >= 24960,
    57x >= 7980.

PST(3, x, y) :- 
    94y <= 48880,
    80x <= 9920,
    99y >= 43560,
    -80x+5y <= 200.

PST(3, x, y) :- 
    16y <= 8320,
    32x <= 4480,
    16y >= 7808,
    32x >= 3968.

PST(3, x, y) :- 
    16y <= 7264,
    14x <= 1960,
    16y >= 7040,
    14x >= 1736.

PST(3, x, y) :- 
    68y <= 29920,
    59x <= 5487,
    -93x+7y >= -5982,
    116x+63y >= 28120,
    -36x+2y <= -20.

PST(3, x, y) :- 
    81x+85y <= 39918,
    49x <= 8722,
    6x+41y >= 11359,
    31x+51y >= 17354,
    -93x+7y <= -5982.

PST(3, x, y) :- 
    94y <= 41360,
    101x <= 18887,
    -39x+9y >= -4242,
    81x+85y >= 39918,
    59x >= 5487.


MST(4, x, y) :- 
    48y <= 24960,
    80x+48y <= 40000,
    96y >= 42240,
    80x >= 11200.

MST(4, x, y) :- 
    16y <= 7808,
    34x <= 4760,
    16y >= 7264,
    34x >= 4216.

MST(4, x, y) :- 
    -10x+30y <= 12550,
    57x <= 13452,
    47x+30y >= 24292.

MST(4, x, y) :- 
    81y <= 33858,
    79x <= 21172,
    81y >= 27459,
    79x >= 14773.

MST(4, x, y) :- 
    49y <= 21560,
    22x <= 5192,
    49y >= 20482,
    22x >= 4114.

MST(4, x, y) :- 
    111y <= 46398,
    79x <= 29941,
    111y >= 37629,
    79x >= 21172.

MST(4, x, y) :- 
    97y <= 32883,
    102x <= 37230,
    58y >= 13746,
    102x+39y >= 40557.

MST(4, x, y) :- 
    102x+39y <= 40557,
    -14x+39y >= 4945,
    116x >= 31088.

MST(4, x, y) :- 
    81y <= 27459,
    116x <= 31088,
    36y >= 8028,
    28x+54y >= 18538,
    49x >= 8722,
    -39x+9y <= -4242.

MST(4, x, y) :- 
    112y <= 55664,
    79x <= 27492,
    112y >= 46816,
    79x >= 18644.

MST(4, x, y) :- 
    80x+82y <= 59634,
    -10x+30y >= 12550,
    90x+52y >= 43864.

MST(4, x, y) :- 
    194y <= 111938,
    80x <= 27840,
    112y >= 55664,
    80x+82y >= 59634.

MST(4, x, y) :- 
    5x+38y <= 22830,
    32x+11y <= 18402,
    49y >= 25382,
    37x >= 12876.

MST(4, x, y) :- 
    49y <= 25382,
    60x <= 23820,
    49y >= 22442,
    60x >= 20880.

MST(4, x, y) :- 
    49y <= 22442,
    -40x+18y >= -7636,
    31y >= 12958,
    40x >= 13920.

MST(4, x, y) :- 
    -60x+9y >= -19698,
    9y >= 3582,
    20x >= 7580,
    -40x+18y <= -7636.

MST(4, x, y) :- 
    9y <= 3456,
    38x <= 14744,
    9y >= 3114,
    38x >= 14402.


CST(5, x, y) :- 
    109y <= 62893,
    -27x+71y >= 28628,
    5x+38y >= 22830,
    22x >= 7656.

CST(5, x, y) :- 
    -27x+71y <= 28628,
    59x+11y <= 33310,
    71y >= 36778,
    32x+11y >= 18402.

CST(5, x, y) :- 
    71y <= 36778,
    50x+1y <= 23918,
    -10x+26y >= 7478,
    46y >= 21068,
    60x >= 23820.

CST(5, x, y) :- 
    -10x+26y <= 7478,
    18x <= 8442,
    8x+26y >= 15452.

CST(5, x, y) :- 
    46y <= 21068,
    8x+26y <= 15452,
    52x+17y <= 32038,
    98y >= 39004,
    -60x+9y <= -19698.

CST(5, x, y) :- 
    98y <= 39004,
    17x+13y <= 13436,
    42x <= 20958,
    111y >= 37629,
    59x >= 22892.

CST(5, x, y) :- 
    9y <= 3582,
    14x <= 5432,
    9y >= 3456,
    14x >= 5306.

CST(5, x, y) :- 
    9y <= 3114,
    7x <= 2716,
    9y >= 3051,
    7x >= 2653.

CST(5, x, y) :- 
    48y <= 16272,
    11x <= 4543,
    48y >= 15744,
    11x >= 4015.

CST(5, x, y) :- 
    86y <= 29154,
    66x <= 32934,
    18x+86y >= 32460,
    48x >= 19824.

CST(5, x, y) :- 
    58y <= 13746,
    43x+14y <= 19013,
    -18x+16y >= -3718,
    61x+56y >= 31999.

CST(5, x, y) :- 
    48y <= 15744,
    37x <= 15281,
    -54x+48y >= -8334,
    91x >= 33215.

CST(5, x, y) :- 
    18x+86y <= 32460,
    4x+8y <= 4180,
    74x+7y <= 39401,
    -35x+51y >= -8045,
    34x+84y >= 29182,
    43x+14y >= 19013,
    -54x+48y <= -8334.

CST(5, x, y) :- 
    34x+84y <= 29182,
    -45x+9y >= -19395,
    79x+75y >= 44491.

CST(5, x, y) :- 
    -27x+61y <= 15885,
    27x+22y <= 25200,
    83y >= 38844.

CST(5, x, y) :- 
    -16x+69y <= 28254,
    -39x+7y >= -17205,
    -27x+61y >= 15885,
    50x+1y >= 23918.

CST(5, x, y) :- 
    43x+80y <= 65811,
    -16x+69y >= 28254,
    59x+11y >= 33310.

CST(5, x, y) :- 
    20x+121y <= 78957,
    -23x+41y >= 9543,
    43x+80y >= 65811.

CST(5, x, y) :- 
    83y <= 38844,
    21x+13y <= 17676,
    -39x+16y >= -14883,
    67y >= 27336,
    42x+13y >= 25548,
    18x >= 8442.

CST(5, x, y) :- 
    2x+27y <= 15492,
    20x+53y <= 39476,
    -44x+65y >= 6132,
    27x+22y >= 25200,
    -39x+7y <= -17205.

CST(5, x, y) :- 
    -44x+65y <= 6132,
    -65x+7y >= -36521,
    45y >= 20115,
    21x+13y >= 17676.

CST(5, x, y) :- 
    45y <= 20115,
    74x <= 45140,
    -44x+27y >= -16769,
    79x+34y >= 57243,
    -39x+16y <= -14883.

CST(5, x, y) :- 
    -27x+50y <= 5577,
    79x+34y <= 57243,
    84y >= 27636,
    52x >= 25948.

CST(5, x, y) :- 
    67y <= 27336,
    -27x+50y >= 5577,
    17x+13y >= 13436,
    10x+4y >= 6452.

CST(5, x, y) :- 
    84y <= 27636,
    -60x+76y >= -9976,
    4x+8y >= 4180,
    56x >= 27944.

CST(5, x, y) :- 
    -70x+30y >= -30940,
    -1x+45y >= 11102,
    11x+1y >= 5846,
    -60x+76y <= -9976.

CST(5, x, y) :- 
    -1x+45y <= 11102,
    -42x+6y >= -21672,
    -22x+33y >= -4873,
    63x+6y >= 33552.

CST(5, x, y) :- 
    32y <= 6944,
    37x <= 21423,
    15x+65y >= 20385,
    -22x+33y <= -4873.

CST(5, x, y) :- 
    35y <= 10395,
    -80x+7y >= -46241,
    50y >= 10850,
    -42x+6y <= -21672,
    -38x+16y <= -16870.

CST(5, x, y) :- 
    18y <= 3906,
    14x <= 8358,
    18y >= 3654,
    14x >= 8106.

CST(5, x, y) :- 
    38y <= 11286,
    80x+11y <= 54627,
    56y >= 12152,
    -80x+7y <= -46241.

CST(5, x, y) :- 
    17y <= 3689,
    14x <= 8596,
    17y >= 3451,
    14x >= 8358.

CST(5, x, y) :- 
    95y <= 31255,
    -32x+36y >= -9852,
    73y >= 21681,
    -32x+14y <= -14050.

CST(5, x, y) :- 
    -4x+38y <= 11124,
    31x+39y <= 33849,
    95y >= 31255,
    -27x+18y <= -9819.

CST(5, x, y) :- 
    13x+29y <= 18747,
    -4x+38y >= 11124,
    -17x+9y <= -7013.

CST(5, x, y) :- 
    39y <= 8463,
    18x <= 11754,
    4x+39y >= 10373,
    14x >= 8596.


EST(6, x, y) :- 
    51y <= 10710,
    82x+26y <= 63516,
    -31x+14y >= -20962,
    113x+63y >= 87471.

EST(6, x, y) :- 
    23x+16y <= 18491,
    5x+16y >= 6449,
    18x >= 11754.

EST(6, x, y) :- 
    29y <= 9541,
    -32x+47y >= -7161,
    18y >= 5346,
    -32x+36y <= -9852.

EST(6, x, y) :- 
    10x+34y <= 19446,
    21x+10y <= 18180,
    -19x+22y >= -5644,
    31x+39y >= 33849,
    -19x+17y <= -6021.

EST(6, x, y) :- 
    46y <= 19918,
    54x <= 35424,
    -19x+17y >= -6021,
    13x+29y >= 18747,
    60x >= 36600.

EST(6, x, y) :- 
    64x+33y <= 59365,
    -19x+16y >= -5938,
    51y >= 22134,
    36x >= 22572,
    -47x+34y <= -13489.

EST(6, x, y) :- 
    101y <= 53732,
    15x+10y <= 15295,
    -5x+58y >= 26611,
    20x+53y >= 39476.

EST(6, x, y) :- 
    67y <= 29011,
    40x+2y <= 29786,
    -24x+35y >= -3645,
    10x+34y >= 19446,
    54x >= 35424.

EST(6, x, y) :- 
    -24x+35y <= -3645,
    41y <= 16113,
    -52x+55y >= -18217,
    7x+11y >= 8728,
    21x+10y >= 18180.

EST(6, x, y) :- 
    64x+33y <= 61993,
    75y >= 24675,
    12x+13y >= 12965,
    -52x+55y <= -18217.

EST(6, x, y) :- 
    7x+11y <= 8728,
    -12x+33y >= 2721,
    -19x+22y <= -5644.

EST(6, x, y) :- 
    12x+13y <= 12965,
    46y >= 15134,
    -12x+33y <= 2721.

EST(6, x, y) :- 
    92y <= 30268,
    -32x+63y >= -4841,
    76y >= 22572,
    -32x+47y <= -7161.

EST(6, x, y) :- 
    26x+6y <= 22748,
    -29x+52y >= -7589,
    23x+17y >= 21977,
    -32x+63y <= -4841.

EST(6, x, y) :- 
    58y <= 17226,
    23x+17y <= 21977,
    -33x+35y >= -15259,
    56x+40y >= 49848.

EST(6, x, y) :- 
    36y <= 10692,
    56x+40y <= 49848,
    -31x+10y >= -19848,
    51y >= 10710,
    7x+4y >= 5439,
    80x+11y >= 54627.

EST(6, x, y) :- 
    35y <= 13755,
    -64x+2y >= -50478,
    64x+33y >= 61993.

EST(6, x, y) :- 
    21x+13y <= 21930,
    -43x+15y >= -29422,
    -64x+2y <= -50478.

EST(6, x, y) :- 
    12x+15y <= 16221,
    -43x+19y >= -27934,
    21x+13y >= 21930,
    -34x+17y <= -20553.

EST(6, x, y) :- 
    86y <= 37238,
    6x+9y <= 8751,
    -34x+17y >= -20553,
    76y >= 29868,
    40x+2y >= 29786.

EST(6, x, y) :- 
    27y <= 11691,
    14x <= 12040,
    -4x+27y >= 7873,
    18x >= 14994.

EST(6, x, y) :- 
    33y <= 14289,
    10x <= 8930,
    -4x+33y >= 10387,
    14x >= 12040.

EST(6, x, y) :- 
    43y <= 19350,
    17x <= 14892,
    43y >= 18619,
    17x >= 14161.

EST(6, x, y) :- 
    32y <= 15968,
    -49x+18y >= -33697,
    20y >= 9000,
    -49x+6y <= -38117.

EST(6, x, y) :- 
    43x+9y <= 42127,
    -12x+7y >= -7362,
    23y >= 10350,
    -55x+21y <= -37465.

EST(6, x, y) :- 
    -41x+33y <= -19169,
    5x+21y <= 16001,
    91x+12y <= 90940,
    12x+57y >= 36930,
    43x+9y >= 42127.

EST(6, x, y) :- 
    -66x+90y <= -8748,
    26y <= 12974,
    -66x+6y >= -52380,
    110y >= 47630.

EST(6, x, y) :- 
    24y <= 10392,
    -6x+15y >= 1497,
    6x+9y >= 8751.

EST(6, x, y) :- 
    -6x+15y <= 1497,
    18x <= 14994,
    12x+15y >= 16221.

end %usmap_info%
