205 lines
13 KiB
C
205 lines
13 KiB
C
/* Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.
|
|
*
|
|
* 37107287533902102798797998220837590246510135740250
|
|
* 46376937677490009712648124896970078050417018260538
|
|
* 74324986199524741059474233309513058123726617309629
|
|
* 91942213363574161572522430563301811072406154908250
|
|
* 23067588207539346171171980310421047513778063246676
|
|
* 89261670696623633820136378418383684178734361726757
|
|
* 28112879812849979408065481931592621691275889832738
|
|
* 44274228917432520321923589422876796487670272189318
|
|
* 47451445736001306439091167216856844588711603153276
|
|
* 70386486105843025439939619828917593665686757934951
|
|
* 62176457141856560629502157223196586755079324193331
|
|
* 64906352462741904929101432445813822663347944758178
|
|
* 92575867718337217661963751590579239728245598838407
|
|
* 58203565325359399008402633568948830189458628227828
|
|
* 80181199384826282014278194139940567587151170094390
|
|
* 35398664372827112653829987240784473053190104293586
|
|
* 86515506006295864861532075273371959191420517255829
|
|
* 71693888707715466499115593487603532921714970056938
|
|
* 54370070576826684624621495650076471787294438377604
|
|
* 53282654108756828443191190634694037855217779295145
|
|
* 36123272525000296071075082563815656710885258350721
|
|
* 45876576172410976447339110607218265236877223636045
|
|
* 17423706905851860660448207621209813287860733969412
|
|
* 81142660418086830619328460811191061556940512689692
|
|
* 51934325451728388641918047049293215058642563049483
|
|
* 62467221648435076201727918039944693004732956340691
|
|
* 15732444386908125794514089057706229429197107928209
|
|
* 55037687525678773091862540744969844508330393682126
|
|
* 18336384825330154686196124348767681297534375946515
|
|
* 80386287592878490201521685554828717201219257766954
|
|
* 78182833757993103614740356856449095527097864797581
|
|
* 16726320100436897842553539920931837441497806860984
|
|
* 48403098129077791799088218795327364475675590848030
|
|
* 87086987551392711854517078544161852424320693150332
|
|
* 59959406895756536782107074926966537676326235447210
|
|
* 69793950679652694742597709739166693763042633987085
|
|
* 41052684708299085211399427365734116182760315001271
|
|
* 65378607361501080857009149939512557028198746004375
|
|
* 35829035317434717326932123578154982629742552737307
|
|
* 94953759765105305946966067683156574377167401875275
|
|
* 88902802571733229619176668713819931811048770190271
|
|
* 25267680276078003013678680992525463401061632866526
|
|
* 36270218540497705585629946580636237993140746255962
|
|
* 24074486908231174977792365466257246923322810917141
|
|
* 91430288197103288597806669760892938638285025333403
|
|
* 34413065578016127815921815005561868836468420090470
|
|
* 23053081172816430487623791969842487255036638784583
|
|
* 11487696932154902810424020138335124462181441773470
|
|
* 63783299490636259666498587618221225225512486764533
|
|
* 67720186971698544312419572409913959008952310058822
|
|
* 95548255300263520781532296796249481641953868218774
|
|
* 76085327132285723110424803456124867697064507995236
|
|
* 37774242535411291684276865538926205024910326572967
|
|
* 23701913275725675285653248258265463092207058596522
|
|
* 29798860272258331913126375147341994889534765745501
|
|
* 18495701454879288984856827726077713721403798879715
|
|
* 38298203783031473527721580348144513491373226651381
|
|
* 34829543829199918180278916522431027392251122869539
|
|
* 40957953066405232632538044100059654939159879593635
|
|
* 29746152185502371307642255121183693803580388584903
|
|
* 41698116222072977186158236678424689157993532961922
|
|
* 62467957194401269043877107275048102390895523597457
|
|
* 23189706772547915061505504953922979530901129967519
|
|
* 86188088225875314529584099251203829009407770775672
|
|
* 11306739708304724483816533873502340845647058077308
|
|
* 82959174767140363198008187129011875491310547126581
|
|
* 97623331044818386269515456334926366572897563400500
|
|
* 42846280183517070527831839425882145521227251250327
|
|
* 55121603546981200581762165212827652751691296897789
|
|
* 32238195734329339946437501907836945765883352399886
|
|
* 75506164965184775180738168837861091527357929701337
|
|
* 62177842752192623401942399639168044983993173312731
|
|
* 32924185707147349566916674687634660915035914677504
|
|
* 99518671430235219628894890102423325116913619626622
|
|
* 73267460800591547471830798392868535206946944540724
|
|
* 76841822524674417161514036427982273348055556214818
|
|
* 97142617910342598647204516893989422179826088076852
|
|
* 87783646182799346313767754307809363333018982642090
|
|
* 10848802521674670883215120185883543223812876952786
|
|
* 71329612474782464538636993009049310363619763878039
|
|
* 62184073572399794223406235393808339651327408011116
|
|
* 66627891981488087797941876876144230030984490851411
|
|
* 60661826293682836764744779239180335110989069790714
|
|
* 85786944089552990653640447425576083659976645795096
|
|
* 66024396409905389607120198219976047599490197230297
|
|
* 64913982680032973156037120041377903785566085089252
|
|
* 16730939319872750275468906903707539413042652315011
|
|
* 94809377245048795150954100921645863754710598436791
|
|
* 78639167021187492431995700641917969777599028300699
|
|
* 15368713711936614952811305876380278410754449733078
|
|
* 40789923115535562561142322423255033685442488917353
|
|
* 44889911501440648020369068063960672322193204149535
|
|
* 41503128880339536053299340368006977710650566631954
|
|
* 81234880673210146739058568557934581403627822703280
|
|
* 82616570773948327592232845941706525094512325230608
|
|
* 22918802058777319719839450180888072429661980811197
|
|
* 77158542502016545090413245809786882778948721859617
|
|
* 72107838435069186155435662884062257473692284509516
|
|
* 20849603980134001723930671666823555245252804609722
|
|
* 53503534226472524250874054075591789781264330331690*/
|
|
|
|
#define _POSIX_C_SOURCE 199309L
|
|
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
#include <time.h>
|
|
#include <gmp.h>
|
|
|
|
int main(int argc, char **argv)
|
|
{
|
|
char n[100][51] = {"37107287533902102798797998220837590246510135740250", "46376937677490009712648124896970078050417018260538",
|
|
"74324986199524741059474233309513058123726617309629", "91942213363574161572522430563301811072406154908250",
|
|
"23067588207539346171171980310421047513778063246676", "89261670696623633820136378418383684178734361726757",
|
|
"28112879812849979408065481931592621691275889832738", "44274228917432520321923589422876796487670272189318",
|
|
"47451445736001306439091167216856844588711603153276", "70386486105843025439939619828917593665686757934951",
|
|
"62176457141856560629502157223196586755079324193331", "64906352462741904929101432445813822663347944758178",
|
|
"92575867718337217661963751590579239728245598838407", "58203565325359399008402633568948830189458628227828",
|
|
"80181199384826282014278194139940567587151170094390", "35398664372827112653829987240784473053190104293586",
|
|
"86515506006295864861532075273371959191420517255829", "71693888707715466499115593487603532921714970056938",
|
|
"54370070576826684624621495650076471787294438377604", "53282654108756828443191190634694037855217779295145",
|
|
"36123272525000296071075082563815656710885258350721", "45876576172410976447339110607218265236877223636045",
|
|
"17423706905851860660448207621209813287860733969412", "81142660418086830619328460811191061556940512689692",
|
|
"51934325451728388641918047049293215058642563049483", "62467221648435076201727918039944693004732956340691",
|
|
"15732444386908125794514089057706229429197107928209", "55037687525678773091862540744969844508330393682126",
|
|
"18336384825330154686196124348767681297534375946515", "80386287592878490201521685554828717201219257766954",
|
|
"78182833757993103614740356856449095527097864797581", "16726320100436897842553539920931837441497806860984",
|
|
"48403098129077791799088218795327364475675590848030", "87086987551392711854517078544161852424320693150332",
|
|
"59959406895756536782107074926966537676326235447210", "69793950679652694742597709739166693763042633987085",
|
|
"41052684708299085211399427365734116182760315001271", "65378607361501080857009149939512557028198746004375",
|
|
"35829035317434717326932123578154982629742552737307", "94953759765105305946966067683156574377167401875275",
|
|
"88902802571733229619176668713819931811048770190271", "25267680276078003013678680992525463401061632866526",
|
|
"36270218540497705585629946580636237993140746255962", "24074486908231174977792365466257246923322810917141",
|
|
"91430288197103288597806669760892938638285025333403", "34413065578016127815921815005561868836468420090470",
|
|
"23053081172816430487623791969842487255036638784583", "11487696932154902810424020138335124462181441773470",
|
|
"63783299490636259666498587618221225225512486764533", "67720186971698544312419572409913959008952310058822",
|
|
"95548255300263520781532296796249481641953868218774", "76085327132285723110424803456124867697064507995236",
|
|
"37774242535411291684276865538926205024910326572967", "23701913275725675285653248258265463092207058596522",
|
|
"29798860272258331913126375147341994889534765745501", "18495701454879288984856827726077713721403798879715",
|
|
"38298203783031473527721580348144513491373226651381", "34829543829199918180278916522431027392251122869539",
|
|
"40957953066405232632538044100059654939159879593635", "29746152185502371307642255121183693803580388584903",
|
|
"41698116222072977186158236678424689157993532961922", "62467957194401269043877107275048102390895523597457",
|
|
"23189706772547915061505504953922979530901129967519", "86188088225875314529584099251203829009407770775672",
|
|
"11306739708304724483816533873502340845647058077308", "82959174767140363198008187129011875491310547126581",
|
|
"97623331044818386269515456334926366572897563400500", "42846280183517070527831839425882145521227251250327",
|
|
"55121603546981200581762165212827652751691296897789", "32238195734329339946437501907836945765883352399886",
|
|
"75506164965184775180738168837861091527357929701337", "62177842752192623401942399639168044983993173312731",
|
|
"32924185707147349566916674687634660915035914677504", "99518671430235219628894890102423325116913619626622",
|
|
"73267460800591547471830798392868535206946944540724", "76841822524674417161514036427982273348055556214818",
|
|
"97142617910342598647204516893989422179826088076852", "87783646182799346313767754307809363333018982642090",
|
|
"10848802521674670883215120185883543223812876952786", "71329612474782464538636993009049310363619763878039",
|
|
"62184073572399794223406235393808339651327408011116", "66627891981488087797941876876144230030984490851411",
|
|
"60661826293682836764744779239180335110989069790714", "85786944089552990653640447425576083659976645795096",
|
|
"66024396409905389607120198219976047599490197230297", "64913982680032973156037120041377903785566085089252",
|
|
"16730939319872750275468906903707539413042652315011", "94809377245048795150954100921645863754710598436791",
|
|
"78639167021187492431995700641917969777599028300699", "15368713711936614952811305876380278410754449733078",
|
|
"40789923115535562561142322423255033685442488917353", "44889911501440648020369068063960672322193204149535",
|
|
"41503128880339536053299340368006977710650566631954", "81234880673210146739058568557934581403627822703280",
|
|
"82616570773948327592232845941706525094512325230608", "22918802058777319719839450180888072429661980811197",
|
|
"77158542502016545090413245809786882778948721859617", "72107838435069186155435662884062257473692284509516",
|
|
"20849603980134001723930671666823555245252804609722", "53503534226472524250874054075591789781264330331690"
|
|
};
|
|
char result[100];
|
|
int i;
|
|
double elapsed;
|
|
struct timespec start, end;
|
|
mpz_t a, b;
|
|
|
|
clock_gettime(CLOCK_MONOTONIC, &start);
|
|
|
|
/* Using the GNU Multiple Precision Arithmetic Library (GMP)
|
|
* to sum the numbers and get the first 10 digits of the sum.*/
|
|
mpz_inits(a, b, NULL);
|
|
mpz_set_str(a, n[0], 10);
|
|
|
|
for(i = 1; i < 100; i++)
|
|
{
|
|
mpz_set_str(b, n[i], 10);
|
|
mpz_add(a, a, b);
|
|
}
|
|
|
|
gmp_sprintf(result, "%Zd\n", a);
|
|
|
|
mpz_clears(a, b, NULL);
|
|
|
|
clock_gettime(CLOCK_MONOTONIC, &end);
|
|
|
|
elapsed = (end.tv_sec-start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
|
|
|
|
printf("Project Euler, Problem 13\n");
|
|
printf("Answer: ");
|
|
|
|
for(i = 0; i < 10; i++)
|
|
{
|
|
printf("%c", result[i]);
|
|
}
|
|
|
|
printf("\n");
|
|
|
|
printf("Elapsed time: %.9lf seconds\n", elapsed);
|
|
|
|
return 0;
|
|
}
|