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pprime.lpr
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pprime.lpr
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program pprime;
uses
DateUtils,
SysUtils;
const
MAX_DELKA_DEC = 200;
MAX_DELKA_BASE = 80;
POCET_MALYCH_PRVOCISEL = 998;
MAX_DELKA_BIN = 1330;
VYSTUPNI_SOUBOR = 'vystup.txt';
PRESNOST = 5;
BASE = 2097151;
BASE_HALF = 1048575;
type
dlouheCislo = array [0..MAX_DELKA_DEC] of byte;
type
dCislo = array [0..MAX_DELKA_BASE] of longint;
type
cisloT = record
cislo: dlouheCislo;
delka: integer;
isNegative: boolean;
end;
type
cisloLT = record
cislo: dCislo;
delka: integer;
isNegative: boolean;
end;
type
dlouheCisloBin = array [0..MAX_DELKA_BIN] of boolean;
type
cisloBin = record
delka: integer;
cislo: dlouheCisloBin;
end;
type
vysledekFaktorizace = record
exponent: integer;
zbytek: cisloT;
end;
type
vysledekFaktorizace2 = record
exponent: integer;
zbytek: cisloLT;
end;
type
vysledekDeleniDec = record
quot: cisloT;
rem: cisloT;
end;
type
vysledekDeleniBase = record
quot: cisloLT;
rem: cisloLT;
end;
type
vysledekDeleniDvema = record
vysl: cisloT;
zbytek: byte;
end;
var
prazdneCislo: cisloT;
prazdneCislo2, DVA: cisloLT;
prazdneCisloBin : cisloBin;
var
malaPrvocisla: array[1..POCET_MALYCH_PRVOCISEL] of cisloLT;
var
malaPrvocislaString: array[1..POCET_MALYCH_PRVOCISEL] of
string[4] = ('3', '7', '11', '13', '17', '19', '23', '29', '31',
'37', '41', '43', '47', '53', '59', '61', '67', '71', '73', '79',
'83', '89', '97', '101', '103', '107', '109', '113', '127', '131',
'137', '139', '149', '151', '157', '163', '167', '173', '179',
'181', '191', '193', '197', '199', '211', '223', '227', '229',
'233', '239', '241', '251', '257', '263', '269', '271', '277',
'281', '283', '293', '307', '311', '313', '317', '331', '337',
'347', '349', '353', '359', '367', '373', '379', '383', '389',
'397', '401', '409', '419', '421', '431', '433', '439', '443',
'449', '457', '461', '463', '467', '479', '487', '491', '499',
'503', '509', '521', '523', '541', '547', '557', '563', '569',
'571', '577', '587', '593', '599', '601', '607', '613', '617',
'619', '631', '641', '643', '647', '653', '659', '661', '673',
'677', '683', '691', '701', '709', '719', '727', '733', '739',
'743', '751', '757', '761', '769', '773', '787', '797', '809',
'811', '821', '823', '827', '829', '839', '853', '857', '859',
'863', '877', '881', '883', '887', '907', '911', '919', '929',
'937', '941', '947', '953', '967', '971', '977', '983', '991',
'997', '1009', '1013', '1019', '1021', '1031', '1033', '1039',
'1049', '1051', '1061', '1063', '1069', '1087', '1091', '1093',
'1097', '1103', '1109', '1117', '1123', '1129', '1151', '1153',
'1163', '1171', '1181', '1187', '1193', '1201', '1213', '1217',
'1223', '1229', '1231', '1237', '1249', '1259', '1277', '1279',
'1283', '1289', '1291', '1297', '1301', '1303', '1307', '1319',
'1321', '1327', '1361', '1367', '1373', '1381', '1399', '1409',
'1423', '1427', '1429', '1433', '1439', '1447', '1451', '1453',
'1459', '1471', '1481', '1483', '1487', '1489', '1493', '1499',
'1511', '1523', '1531', '1543', '1549', '1553', '1559', '1567',
'1571', '1579', '1583', '1597', '1601', '1607', '1609', '1613',
'1619', '1621', '1627', '1637', '1657', '1663', '1667', '1669',
'1693', '1697', '1699', '1709', '1721', '1723', '1733', '1741',
'1747', '1753', '1759', '1777', '1783', '1787', '1789', '1801',
'1811', '1823', '1831', '1847', '1861', '1867', '1871', '1873',
'1877', '1879', '1889', '1901', '1907', '1913', '1931', '1933',
'1949', '1951', '1973', '1979', '1987', '1993', '1997', '1999',
'2003', '2011', '2017', '2027', '2029', '2039', '2053', '2063',
'2069', '2081', '2083', '2087', '2089', '2099', '2111', '2113',
'2129', '2131', '2137', '2141', '2143', '2153', '2161', '2179',
'2203', '2207', '2213', '2221', '2237', '2239', '2243', '2251',
'2267', '2269', '2273', '2281', '2287', '2293', '2297', '2309',
'2311', '2333', '2339', '2341', '2347', '2351', '2357', '2371',
'2377', '2381', '2383', '2389', '2393', '2399', '2411', '2417',
'2423', '2437', '2441', '2447', '2459', '2467', '2473', '2477',
'2503', '2521', '2531', '2539', '2543', '2549', '2551', '2557',
'2579', '2591', '2593', '2609', '2617', '2621', '2633', '2647',
'2657', '2659', '2663', '2671', '2677', '2683', '2687', '2689',
'2693', '2699', '2707', '2711', '2713', '2719', '2729', '2731',
'2741', '2749', '2753', '2767', '2777', '2789', '2791', '2797',
'2801', '2803', '2819', '2833', '2837', '2843', '2851', '2857',
'2861', '2879', '2887', '2897', '2903', '2909', '2917', '2927',
'2939', '2953', '2957', '2963', '2969', '2971', '2999', '3001',
'3011', '3019', '3023', '3037', '3041', '3049', '3061', '3067',
'3079', '3083', '3089', '3109', '3119', '3121', '3137', '3163',
'3167', '3169', '3181', '3187', '3191', '3203', '3209', '3217',
'3221', '3229', '3251', '3253', '3257', '3259', '3271', '3299',
'3301', '3307', '3313', '3319', '3323', '3329', '3331', '3343',
'3347', '3359', '3361', '3371', '3373', '3389', '3391', '3407',
'3413', '3433', '3449', '3457', '3461', '3463', '3467', '3469',
'3491', '3499', '3511', '3517', '3527', '3529', '3533', '3539',
'3541', '3547', '3557', '3559', '3571', '3581', '3583', '3593',
'3607', '3613', '3617', '3623', '3631', '3637', '3643', '3659',
'3671', '3673', '3677', '3691', '3697', '3701', '3709', '3719',
'3727', '3733', '3739', '3761', '3767', '3769', '3779', '3793',
'3797', '3803', '3821', '3823', '3833', '3847', '3851', '3853',
'3863', '3877', '3881', '3889', '3907', '3911', '3917', '3919',
'3923', '3929', '3931', '3943', '3947', '3967', '3989', '4001',
'4003', '4007', '4013', '4019', '4021', '4027', '4049', '4051',
'4057', '4073', '4079', '4091', '4093', '4099', '4111', '4127',
'4129', '4133', '4139', '4153', '4157', '4159', '4177', '4201',
'4211', '4217', '4219', '4229', '4231', '4241', '4243', '4253',
'4259', '4261', '4271', '4273', '4283', '4289', '4297', '4327',
'4337', '4339', '4349', '4357', '4363', '4373', '4391', '4397',
'4409', '4421', '4423', '4441', '4447', '4451', '4457', '4463',
'4481', '4483', '4493', '4507', '4513', '4517', '4519', '4523',
'4547', '4549', '4561', '4567', '4583', '4591', '4597', '4603',
'4621', '4637', '4639', '4643', '4649', '4651', '4657', '4663',
'4673', '4679', '4691', '4703', '4721', '4723', '4729', '4733',
'4751', '4759', '4783', '4787', '4789', '4793', '4799', '4801',
'4813', '4817', '4831', '4861', '4871', '4877', '4889', '4903',
'4909', '4919', '4931', '4933', '4937', '4943', '4951', '4957',
'4967', '4969', '4973', '4987', '4993', '4999', '5003', '5009',
'5011', '5021', '5023', '5039', '5051', '5059', '5077', '5081',
'5087', '5099', '5101', '5107', '5113', '5119', '5147', '5153',
'5167', '5171', '5179', '5189', '5197', '5209', '5227', '5231',
'5233', '5237', '5261', '5273', '5279', '5281', '5297', '5303',
'5309', '5323', '5333', '5347', '5351', '5381', '5387', '5393',
'5399', '5407', '5413', '5417', '5419', '5431', '5437', '5441',
'5443', '5449', '5471', '5477', '5479', '5483', '5501', '5503',
'5507', '5519', '5521', '5527', '5531', '5557', '5563', '5569',
'5573', '5581', '5591', '5623', '5639', '5641', '5647', '5651',
'5653', '5657', '5659', '5669', '5683', '5689', '5693', '5701',
'5711', '5717', '5737', '5741', '5743', '5749', '5779', '5783',
'5791', '5801', '5807', '5813', '5821', '5827', '5839', '5843',
'5849', '5851', '5857', '5861', '5867', '5869', '5879', '5881',
'5897', '5903', '5923', '5927', '5939', '5953', '5981', '5987',
'6007', '6011', '6029', '6037', '6043', '6047', '6053', '6067',
'6073', '6079', '6089', '6091', '6101', '6113', '6121', '6131',
'6133', '6143', '6151', '6163', '6173', '6197', '6199', '6203',
'6211', '6217', '6221', '6229', '6247', '6257', '6263', '6269',
'6271', '6277', '6287', '6299', '6301', '6311', '6317', '6323',
'6329', '6337', '6343', '6353', '6359', '6361', '6367', '6373',
'6379', '6389', '6397', '6421', '6427', '6449', '6451', '6469',
'6473', '6481', '6491', '6521', '6529', '6547', '6551', '6553',
'6563', '6569', '6571', '6577', '6581', '6599', '6607', '6619',
'6637', '6653', '6659', '6661', '6673', '6679', '6689', '6691',
'6701', '6703', '6709', '6719', '6733', '6737', '6761', '6763',
'6779', '6781', '6791', '6793', '6803', '6823', '6827', '6829',
'6833', '6841', '6857', '6863', '6869', '6871', '6883', '6899',
'6907', '6911', '6917', '6947', '6949', '6959', '6961', '6967',
'6971', '6977', '6983', '6991', '6997', '7001', '7013', '7019',
'7027', '7039', '7043', '7057', '7069', '7079', '7103', '7109',
'7121', '7127', '7129', '7151', '7159', '7177', '7187', '7193',
'7207', '7211', '7213', '7219', '7229', '7237', '7243', '7247',
'7253', '7283', '7297', '7307', '7309', '7321', '7331', '7333',
'7349', '7351', '7369', '7393', '7411', '7417', '7433', '7451',
'7457', '7459', '7477', '7481', '7487', '7489', '7499', '7507',
'7517', '7523', '7529', '7537', '7541', '7547', '7549', '7559',
'7561', '7573', '7577', '7583', '7589', '7591', '7603', '7607',
'7621', '7639', '7643', '7649', '7669', '7673', '7681', '7687',
'7691', '7699', '7703', '7717', '7723', '7727', '7741', '7753',
'7757', '7759', '7789', '7793', '7817', '7823', '7829', '7841',
'7853', '7867', '7873', '7877', '7879', '7883', '7901', '7907', '7919');
var
celkemMs, pocetExp: longint;
var
BASE_CISLO_DEC: cisloT;
BASE_CISLO : cisloLT;
procedure vynuluj(var c: cisloT);
var
i: integer;
begin
for i := (c.delka + 1) to MAX_DELKA_DEC do
c.cislo[i] := 0;
end;
procedure vynuluj2(var c: cisloLT);
var
i: integer;
begin
for i := (c.delka + 1) to MAX_DELKA_BASE do
c.cislo[i] := 0;
end;
procedure init(var c: cisloT);
begin
c := prazdneCislo;
end;
procedure init2(var c: cisloLT);
begin
c := prazdneCislo2;
end;
procedure initBin(var c: cisloBin);
begin
c := prazdneCisloBin;
end;
procedure vypisCisloDec(c: cisloT; writeDelka: boolean; msg: string);
var
i: integer;
begin
if (length(msg) > 0) then
Write(msg, ': ');
if (writeDelka) then
Write('d: ', c.delka, ' | ');
if (c.isNegative) then
Write('-');
for i := 1 to c.delka do
begin
if (c.cislo[i] > 9) then
Write(' ');
Write(c.cislo[i]);
if (c.cislo[i] > 9) then
Write(' ');
end;
writeln;
writeln;
end;
procedure vypisCisloBase(c: cisloLT; writeDelka: boolean; msg: string);
var
i: integer;
begin
if (length(msg) > 0) then
Write(msg, ': ');
if (writeDelka) then
Write('d: ', c.delka, ' | ');
if (c.isNegative) then
Write('-');
for i := 1 to c.delka do
begin
Write(' ');
Write(c.cislo[i]);
Write(' ');
end;
writeln;
writeln;
end;
function generujPrvocislo(delka: byte): cisloT;
var
p: cisloT;
var
i: byte;
var
lichaCisla: array[1..4] of byte = (1, 3, 7, 9);
begin
init(p);
p.cislo[1] := Random(9) + 1;
for i := 2 to delka do
begin
if (i <> delka) then
p.cislo[i] := Random(10)
else
p.cislo[delka] := lichaCisla[Random(4) + 1];
end;
p.delka := delka;
generujPrvocislo := p;
end;
{
1 : c1>c2
0 : c1=c2
2 : c1<c2
musí byt ve formatu ze na cislo[1] je nejmensi cifra
}
function porovnaniDec(var c1, c2: cisloT): byte;
var
i: integer;
begin
if (c1.delka > c2.delka) then
porovnaniDec := 1
else
begin
if (c1.delka < c2.delka) then
porovnaniDec := 2
else //stejna delka
begin
i := c1.delka;
while ((c1.cislo[i] = c2.cislo[i]) and (i > 0)) do
i := i - 1;
if (i = 0) then
porovnaniDec := 0
else
begin
if (c1.cislo[i] > c2.cislo[i]) then
porovnaniDec := 1
else
porovnaniDec := 2;
end;
end;
end;
end;
function porovnaniBase(var c1, c2: cisloLT): byte;
var
i: integer;
begin
if (c1.delka > c2.delka) then
porovnaniBase := 1
else
begin
if (c1.delka < c2.delka) then
porovnaniBase := 2
else //stejna delka
begin
i := c1.delka;
while ((i > 0) and (c1.cislo[i] = c2.cislo[i])) do
i := i - 1;
if (i = 0) then
porovnaniBase := 0
else
begin
if (c1.cislo[i] > c2.cislo[i]) then
begin
porovnaniBase := 1;
end
else
porovnaniBase := 2;
end;
end;
end;
end;
//2<=n<hodniHranice
function generujNahodneCisloMensiNez(var horniHranice: cisloLT): cisloLT;
var
i: integer;
var
nahodneCislo: cisloLT;
begin
init2(nahodneCislo);
repeat
nahodneCislo.delka := Random(horniHranice.delka) + 1;
nahodneCislo.cislo[nahodneCislo.delka] :=
Random(horniHranice.cislo[horniHranice.delka]) + 1;
for i := 1 to nahodneCislo.delka - 1 do
begin
nahodneCislo.cislo[i] := Random(2097151);
end;
until ((porovnaniBase(horniHranice, nahodneCislo) = 1) and
((nahodneCislo.delka > 1) or (nahodneCislo.cislo[1] > 1)));
generujNahodneCisloMensiNez := nahodneCislo;
end;
function otocCisloDec(c: cisloT): cisloT;
var
zac, kon, temp: integer;
begin
zac := 1;
kon := c.delka;
while (zac < kon) do
begin
temp := c.cislo[zac];
c.cislo[zac] := c.cislo[kon];
c.cislo[kon] := temp;
Inc(zac);
kon := kon - 1;
end;
otocCisloDec := c;
end;
function otocCisloBase(c: cisloLT): cisloLT;
var
zac, kon: integer;
temp: longint;
begin
zac := 1;
kon := c.delka;
while (zac < kon) do
begin
temp := c.cislo[zac];
c.cislo[zac] := c.cislo[kon];
c.cislo[kon] := temp;
Inc(zac);
kon := kon - 1;
end;
otocCisloBase := c;
end;
function sectiDec(c1, c2: cisloT): cisloT;
var
vysledek: cisloT;
var
delka, i: integer;
var
zb: byte;
begin
init(vysledek);
delka := 0;
zb := 0;
if (porovnaniDec(c1, c2) = 1) then
delka := c1.delka
else
delka := c2.delka;
for i := 1 to delka do
begin
vysledek.cislo[i] := c1.cislo[i] + c2.cislo[i] + zb;
zb := vysledek.cislo[i] div 10;
if (zb > 0) then
vysledek.cislo[i] := vysledek.cislo[i] mod 10;
end;
if (zb > 0) then
begin
vysledek.delka := delka + 1;
vysledek.cislo[vysledek.delka] := zb;
end
else
vysledek.delka := delka;
sectiDec := vysledek;
end;
function sectiDecVar(var c1, c2: cisloT): cisloT;
var
vysledek: cisloT;
var
delka, i: integer;
var
zb: byte;
begin
init(vysledek);
delka := 0;
zb := 0;
if (porovnaniDec(c1, c2) = 1) then
delka := c1.delka
else
delka := c2.delka;
for i := 1 to delka do
begin
vysledek.cislo[i] := c1.cislo[i] + c2.cislo[i] + zb;
zb := vysledek.cislo[i] div 10;
if (zb > 0) then
vysledek.cislo[i] := vysledek.cislo[i] mod 10;
end;
if (zb > 0) then
begin
vysledek.delka := delka + 1;
vysledek.cislo[vysledek.delka] := zb;
end
else
vysledek.delka := delka;
sectiDecVar := vysledek;
end;
function sectiBase(c1, c2: cisloLT): cisloLT;
var
vysledek: cisloLT;
var
delka, i: integer;
var
zb: longint;
begin
init2(vysledek);
delka := 0;
zb := 0;
if (porovnaniBase(c1, c2) = 1) then
delka := c1.delka
else
delka := c2.delka;
for i := 1 to delka do
begin
vysledek.cislo[i] := c1.cislo[i] + c2.cislo[i] + zb;
zb := vysledek.cislo[i] div BASE;
if (zb > 0) then
vysledek.cislo[i] := vysledek.cislo[i] mod BASE;
end;
if (zb > 0) then
begin
vysledek.delka := delka + 1;
vysledek.cislo[vysledek.delka] := zb;
end
else
vysledek.delka := delka;
sectiBase := vysledek;
end;
function sectiBaseVar(var c1, c2: cisloLT): cisloLT;
var
vysledek: cisloLT;
var
delka, i: integer;
var
zb: longint;
begin
init2(vysledek);
delka := 0;
zb := 0;
if (porovnaniBase(c1, c2) = 1) then
delka := c1.delka
else
delka := c2.delka;
for i := 1 to delka do
begin
vysledek.cislo[i] := c1.cislo[i] + c2.cislo[i] + zb;
zb := vysledek.cislo[i] div BASE;
if (zb > 0) then
vysledek.cislo[i] := vysledek.cislo[i] mod BASE;
end;
if (zb > 0) then
begin
vysledek.delka := delka + 1;
vysledek.cislo[vysledek.delka] := zb;
end
else
vysledek.delka := delka;
sectiBaseVar := vysledek;
end;
function vynasobDec(var c1, c2: cisloT): cisloT;
var
vysl: cisloT;
var
i, j, c, temp: integer;
begin
init(vysl);
if ((c1.delka < 2) and (c1.cislo[1] = 0)) then
begin
vynasobDec := vysl;
exit;
end;
for i := 0 to (c2.delka - 1) do
begin
c := 0;
for j := 0 to (c1.delka - 1) do
begin
temp := vysl.cislo[i + j + 1] + (c1.cislo[j + 1] * c2.cislo[i + 1]) + c;
vysl.cislo[i + j + 1] := temp mod 10;
c := temp div 10;
end;
vysl.cislo[i + c1.delka + 1] := c;
if (vysl.cislo[i + c1.delka + 1] > 0) then
vysl.delka := i + c1.delka + 1
else
vysl.delka := i + c1.delka;
end;
vysl.isNegative := c1.isNegative xor c2.isNegative;
vynasobDec := vysl;
end;
function vynasobBase(var c1, c2: cisloLT): cisloLT;
var
vysl: cisloLT;
var
i, j: integer;
var
c, temp: int64;
begin
init2(vysl);
if ((c1.delka < 2) and (c1.cislo[1] = 0)) then
begin
vynasobBase := vysl;
exit;
end;
for i := 0 to (c2.delka - 1) do
begin
c := 0;
for j := 0 to (c1.delka - 1) do
begin
temp := vysl.cislo[i + j + 1] + (c1.cislo[j + 1] * c2.cislo[i + 1]) + c;
vysl.cislo[i + j + 1] := temp mod BASE;
c := temp div BASE;
end;
vysl.cislo[i + c1.delka + 1] := c;
if (vysl.cislo[i + c1.delka + 1] > 0) then
vysl.delka := i + c1.delka + 1
else
vysl.delka := i + c1.delka;
end;
vysl.isNegative := c1.isNegative xor c2.isNegative;
vynasobBase := vysl;
end;
function vynasobDeseti(c1: cisloT; kolikrat: integer): cisloT;
var
i: integer;
begin
if (kolikrat <= 0) then
begin
vynasobDeseti := c1;
exit;
end;
if (c1.delka + kolikrat > MAX_DELKA_DEC) then
begin
writeln('CHYBA delka');
halt(1);
end;
for i := c1.delka downto 1 do
begin
c1.cislo[i + kolikrat] := c1.cislo[i];
c1.cislo[i] := 0;
end;
c1.delka := c1.delka + kolikrat;
vynuluj(c1);
vynasobDeseti := c1;
end;
function shiftLeft(c1: cisloLT; kolikrat: integer): cisloLT;
{dolni jsou nejmensi <=> citelnyFormat = false}
var
i: integer;
begin
if (kolikrat <= 0) then
begin
shiftLeft := c1;
exit;
end;
if (c1.delka + kolikrat > MAX_DELKA_BASE) then
begin
writeln('CHYBA delka');
halt(1);
end;
for i := c1.delka downto 1 do
begin
c1.cislo[i + kolikrat] := c1.cislo[i];
c1.cislo[i] := 0;
end;
c1.delka := c1.delka + kolikrat;
vynuluj2(c1);
shiftLeft := c1;
end;
function vydelDeseti(c1: cisloT; kolikrat: integer): cisloT;
{dolni jsou nejmensi <=> citelnyFormat = false}
var
i: integer;
begin
if (kolikrat <= 0) then
begin
vydelDeseti := c1;
exit;
end;
for i := 1 to c1.delka do
begin
if (i <= kolikrat) then
c1.cislo[i] := 0
else
c1.cislo[i - kolikrat] := c1.cislo[i];
end;
c1.delka := c1.delka - kolikrat;
vynuluj(c1);
vydelDeseti := c1;
end;
function betterMod(i, modulus: int64): longint;
var
temp: int64;
begin
temp := i mod modulus;
if (temp < 0) then
temp := temp + modulus;
betterMod := temp;
end;
function shiftRight(c1: cisloLT; kolikrat: integer): cisloLT;
{dolni jsou nejmensi <=> citelnyFormat = false}
var
i: integer;
begin
if (kolikrat <= 0) then
begin
shiftRight := c1;
exit;
end;
for i := 1 to c1.delka do
begin
if (i <= kolikrat) then
c1.cislo[i] := 0
else
c1.cislo[i - kolikrat] := c1.cislo[i];
end;
c1.delka := c1.delka - kolikrat;
vynuluj2(c1);
shiftRight := c1;
end;
function odectiDec(var c1, c2: cisloT): cisloT;
var
vysledek, temp: cisloT;
var
delka, i, porov, zb: integer;
begin
init(vysledek);
if ((not c1.isNegative) and c2.isNegative) then
begin
vysledek := sectiDecVar(c1, c2);
odectiDec := vysledek;
exit;
end;
if (c1.isNegative and (not c2.isNegative)) then
begin
vysledek := sectiDecVar(c1, c2);
vysledek.isNegative := True;
odectiDec := vysledek;
exit;
end;
if (c1.isNegative and c2.isNegative) then
begin
init(temp);
temp := c2;
temp.isNegative := False;
vysledek := odectiDec(temp, c1);
odectiDec := vysledek;
exit;
end;
porov := porovnaniDec(c1, c2);
if (porov = 0) then
begin
odectiDec := vysledek;
exit;
end
else if (porov = 2) then //c1 < c2, prohodime a vysledek je zaporny
begin
vysledek := odectiDec(c2, c1);
vysledek.isNegative := True;
odectiDec := vysledek;
exit;
end;
delka := c1.delka;
zb := 0;
for i := 1 to delka do
begin
if (c1.cislo[i] < (c2.cislo[i] + zb)) then
begin
vysledek.cislo[i] := (c1.cislo[i] + 10) - (c2.cislo[i] + zb);
zb := 1;
end
else
begin
vysledek.cislo[i] := c1.cislo[i] - (c2.cislo[i] + zb);
zb := 0;
end;
if (vysledek.cislo[i] <> 0) then
vysledek.delka := i;
end;
odectiDec := vysledek;
end;
function odectiBase(var c1, c2: cisloLT): cisloLT;
var
vysledek, temp: cisloLT;
var
delka, i, porov, zb, tempInt: longint;
begin
init2(vysledek);
if ((not c1.isNegative) and c2.isNegative) then
begin
vysledek := sectiBaseVar(c1, c2);
odectiBase := vysledek;
exit;
end;
if (c1.isNegative and (not c2.isNegative)) then
begin
vysledek := sectiBaseVar(c1, c2);
vysledek.isNegative := True;
odectiBase := vysledek;
exit;
end;
if (c1.isNegative and c2.isNegative) then
begin
init2(temp);
temp := c2;
temp.isNegative := False;
vysledek := odectiBase(temp, c1);
odectiBase := vysledek;
exit;
end;
porov := porovnaniBase(c1, c2);
if (porov = 0) then
begin
odectiBase := vysledek;
exit;
end
else if (porov = 2) then //c1 < c2, prohodime a vysledek je zaporny
begin
vysledek := odectiBase(c2, c1);
vysledek.isNegative := True;
odectiBase := vysledek;
exit;
end;
delka := c1.delka;
zb := 0;
for i := 1 to delka do
begin
tempInt := (c1.cislo[i] - c2.cislo[i]) + zb;
vysledek.cislo[i] := betterMod(tempInt, BASE);
if (tempInt >= 0) then
zb := 0
else
zb := -1;
if (vysledek.cislo[i] <> 0) then
vysledek.delka := i;
end;
odectiBase := vysledek;
end;
function vydelDec(var c1, c2: cisloT): vysledekDeleniDec;
var
vysl: vysledekDeleniDec;
var
vynasobeneDeseti, temp: cisloT;
var
t, n, i: integer;
var
longTemp, longTemp2: longint;
begin
if (c2.delka = 0) then
begin
writeln('DELENI NULOU');
halt(1);
end;
init(vysl.rem);
init(vysl.quot);
init(vynasobeneDeseti);
init(temp);
vysl.rem := c1;
n := c1.delka - 1;
t := c2.delka - 1;
vynasobeneDeseti := vynasobDeseti(c2, n - t);
while (porovnaniDec(vysl.rem, vynasobeneDeseti) <> 2) do
begin
vysl.quot.cislo[n - t + 1] := vysl.quot.cislo[n - t + 1] + 1;
vysl.rem := odectiDec(vysl.rem, vynasobeneDeseti);
end;
for i := n downto c2.delka do
begin
if (vysl.rem.cislo[i + 1] = c2.cislo[c2.delka]) then
vysl.quot.cislo[i - t] := 9
else
begin
vysl.quot.cislo[i - t] :=
(vysl.rem.cislo[i + 1] * 100 + vysl.rem.cislo[i] * 10 +
vysl.rem.cislo[i - 1]) div (c2.cislo[c2.delka] * 10 + c2.cislo[t]);
end;
longTemp := vysl.quot.cislo[i - t] * (c2.cislo[c2.delka] * 10 + c2.cislo[t]);
longTemp2 := vysl.rem.cislo[i + 1] * 100 + vysl.rem.cislo[i] *
10 + vysl.rem.cislo[i - 1];
while (longTemp > longTemp2) do
begin
vysl.quot.cislo[i - t] := vysl.quot.cislo[i - t] - 1;
end;
vynasobeneDeseti := vynasobDeseti(c2, i - t - 1);
temp.delka := 1;
temp.cislo[1] := vysl.quot.cislo[i - t];
temp := vynasobDec(temp, vynasobeneDeseti);
vysl.rem := odectiDec(vysl.rem, temp);
if (vysl.rem.isNegative = True) then
begin
vysl.rem.isNegative := False;
vysl.rem := odectiDec(vynasobeneDeseti, vysl.rem);
vysl.quot.cislo[i - t] := vysl.quot.cislo[i - t] - 1;
end;
end;
for i := n - t + 1 downto 1 do
begin
if (vysl.quot.cislo[i] <> 0) then
begin
vysl.quot.delka := i;
break;
end;
end;
vydelDec := vysl;
end;
function vydelBase(c1, c2: cisloLT): cisloLT;
var
vysl, vynasobene, temp, norm: cisloLT;
var
t, n, i: integer;
var
tempInt, q: int64;
var
normalizeQuot: longint;
begin
if (c2.delka = 0) then
begin
writeln('DELENI NULOU');
halt(1);
end;
init2(norm);
normalizeQuot := 1;
if (c2.cislo[c2.delka] < BASE_HALF) then
begin
normalizeQuot := (BASE_HALF div c2.cislo[c2.delka]) + 1;
norm.delka := 1;
norm.cislo[1] := normalizeQuot;
c1 := vynasobBase(c1, norm);
c2 := vynasobBase(c2, norm);
end;
init2(vysl);
init2(vynasobene);
init2(temp);
n := c1.delka - 1;
t := c2.delka - 1;
vynasobene := shiftLeft(c2, n - t);
while (porovnaniBase(c1, vynasobene) <> 2) do
begin
vysl.cislo[n - t + 1] := vysl.cislo[n - t + 1] + 1;
c1 := odectiBase(c1, vynasobene);
end;
for i := n downto c2.delka do
begin
tempInt := (c1.cislo[i + 1] * (BASE * BASE) + c1.cislo[i] *
BASE + c1.cislo[i - 1]);
if (c1.cislo[i + 1] = c2.cislo[c2.delka]) then
q := BASE - 1
else
begin
q := tempInt div (c2.cislo[c2.delka] * BASE + c2.cislo[t]);
end;
while ((q * (c2.cislo[c2.delka] * BASE + c2.cislo[t])) > tempInt) do
begin
q := q - 1;
end;
vynasobene := shiftLeft(c2, i - t - 1);
temp.delka := 1;
temp.cislo[1] := q;
temp := vynasobBase(temp, vynasobene);
c1 := odectiBase(c1, temp);
if (c1.isNegative = True) then
begin
c1.isNegative := False;
c1 := odectiBase(vynasobene, c1);
q := q - 1;
end;
vysl.cislo[i - t] := q;
end;
for i := n - t + 1 downto 1 do
begin
if (vysl.cislo[i] <> 0) then
begin
vysl.delka := i;
break;
end;
end;
vydelBase := vysl;
end;
function vydelBaseWithRem(var c1: cisloLT; c2: cisloLT): vysledekDeleniBase;
var
vysl: vysledekDeleniBase;
var
vynasobene, temp, norm: cisloLT;
var
t, n, i: integer;
var
tempInt, q: int64;
var
normalizeQuot: longint;
begin