Co-authored-by: sigonasr2 <sigonasr2@gmail.com>

archives/13/src/main.c

@@ -0,0 +1,260 @@
+#include <stdio.h>
+#include "utils.h"
+
+/*
+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
+
+https://projecteuler.net/problem=13
+*/
+
+char*getSum(char*sum) {
+    char*newStr=malloc(52+1);
+    for (int i=0;i<52;i++) {
+        newStr[i]=sum[i]+'0';
+    }
+    newStr[52]='\0';
+    return newStr;
+}
+
+int main(int argc,char**argv) {
+    char*vals[]={
+        "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",
+    };
+
+    //We need up to 52 digits of space for adding 100 50-digit numbers (max sum of one place value converges up to 1000 exclusive meaning we can expect up to 999.)
+    char sum[52]={};
+
+    for (int i=49;i>=0;i--) {
+        int s=0;
+        for (int j=0;j<100;j++) {
+            s+=vals[j][i]-'0';
+            printf("s is %d  ",s);
+        }
+        int marker=i;
+        printf("\ns starting at %d\n",s);
+        while (s>0) {
+            if (s%10+sum[marker+2]<10){
+                sum[marker+2]=s%10+sum[marker+2];
+            } else {
+                s+=10*((sum[marker+2]+s%10)/10);
+                sum[marker+2]=(sum[marker+2]+s%10)%10;
+            }
+            s/=10;
+            char*val=getSum(sum);
+            printf("\n...s:%d (%s)",s,val);
+            free(val);
+            marker--;
+        }
+    }
+
+    char*val=getSum(sum);
+    printf("\n\nSum is %s",val);
+    printf("\nFirst ten digits: ");
+    for (int i=0;i<10;i++) {
+        printf("%c",val[i]);
+    }
+    printf("\n");
+    free(val);
+
+    return 0;
+}

archives/13/src/utils.h

@@ -0,0 +1,7 @@
+#define true 1
+#define false 0
+#define boolean char
+struct String{
+    int length;
+    char*str;
+};

src/main.c

@@ -2,52 +2,259 @@
 #include "utils.h"
 
 /*
-The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
+Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.
 
-1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
+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
 
-Let us list the factors of the first seven triangle numbers:
+https://projecteuler.net/problem=13
+*/
 
- 1: 1
- 3: 1,3
- 6: 1,2,3,6
-10: 1,2,5,10
-15: 1,3,5,15
-21: 1,3,7,21
-28: 1,2,4,7,14,28
-We can see that 28 is the first triangle number to have over five divisors.
+char*getSum(char*sum) {
+    char*newStr=malloc(52+1);
+    for (int i=0;i<52;i++) {
+        newStr[i]=sum[i]+'0';
+    }
+    newStr[52]='\0';
+    return newStr;
+}
 
-What is the value of the first triangle number to have over five hundred divisors?
+int main(int argc,char**argv) {
+    char*vals[]={
+        "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",
+    };
 
-https://projecteuler.net/problem=12
-*/
+    //We need up to 52 digits of space for adding 100 50-digit numbers (max sum of one place value converges up to 1000 exclusive meaning we can expect up to 999.)
+    char sum[52]={};
 
-int main(int argc,char**argv) {
-    int counter=1;
-    long sum=0;
-    while (true) {
-        sum+=counter;
-        printf("Checking %ld...\n",sum);
-        int current=1;
-        int max=sum;
-        int divisorCount=0;
-        while (current<max) {
-            if (max==current&&sum%current==0) {
-                divisorCount++;
-                break;
-            } else
-            if (sum%current==0) {
-                max=sum/current;
-                divisorCount+=2;
-            }
-            current++;
+    for (int i=49;i>=0;i--) {
+        int s=0;
+        for (int j=0;j<100;j++) {
+            s+=vals[j][i]-'0';
+            printf("s is %d  ",s);
         }
-        printf(" has %d divisors.\n",divisorCount);
-        if (divisorCount>500) {
-            printf("\n\nNumber %ld has %d divisors!",sum,divisorCount);
-            return 0;
+        int marker=i;
+        printf("\ns starting at %d\n",s);
+        while (s>0) {
+            if (s%10+sum[marker+2]<10){
+                sum[marker+2]=s%10+sum[marker+2];
+            } else {
+                s+=10*((sum[marker+2]+s%10)/10);
+                sum[marker+2]=(sum[marker+2]+s%10)%10;
+            }
+            s/=10;
+            char*val=getSum(sum);
+            printf("\n...s:%d (%s)",s,val);
+            free(val);
+            marker--;
         }
-        counter++;
     }
+
+    char*val=getSum(sum);
+    printf("\n\nSum is %s",val);
+    printf("\nFirst ten digits: ");
+    for (int i=0;i<10;i++) {
+        printf("%c",val[i]);
+    }
+    printf("\n");
+    free(val);
+
     return 0;
 }