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< a href = "#define-members" > Macros< / a > |
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< div class = "title" > sol1.c File Reference< / div > < / div >
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< p > < a href = "https://projecteuler.net/problem=401" > Problem 401< / a > solution - Sum of squares of divisors
< a href = "#details" > More...< / a > < / p >
< div class = "textblock" > < code > #include < stdint.h> < / code > < br / >
< code > #include < stdio.h> < / code > < br / >
< code > #include < stdlib.h> < / code > < br / >
< code > #include < time.h> < / code > < br / >
< code > #include < inttypes.h> < / code > < br / >
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Include dependency graph for sol1.c:< / div >
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< tr class = "memdesc:a4441a6d27134cf3aed05727800d99456" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Check if a number is present in given array. < a href = "../../d4/d83/problem__401_2sol1_8c.html#a4441a6d27134cf3aed05727800d99456" > More...< / a > < br / > < / td > < / tr >
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< tr class = "memdesc:a7380e14d595d560007b02ce516b6b215" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Get all integer divisors of a number. < a href = "../../d4/d83/problem__401_2sol1_8c.html#a7380e14d595d560007b02ce516b6b215" > More...< / a > < br / > < / td > < / tr >
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< tr class = "memdesc:a236548478af932f1115a71f601a68788" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > compute sum of squares of all integer factors of a number < a href = "../../d4/d83/problem__401_2sol1_8c.html#a236548478af932f1115a71f601a68788" > More...< / a > < br / > < / td > < / tr >
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< / table >
< a name = "details" id = "details" > < / a > < h2 class = "groupheader" > Detailed Description< / h2 >
< div class = "textblock" > < p > < a href = "https://projecteuler.net/problem=401" > Problem 401< / a > solution - Sum of squares of divisors < / p >
< dl class = "section author" > < dt > Author< / dt > < dd > < a href = "https://github.com/kvedala" > Krishna Vedala< / a > < / dd > < / dl >
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< / div > < h2 class = "groupheader" > Function Documentation< / h2 >
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< a id = "a7380e14d595d560007b02ce516b6b215" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a7380e14d595d560007b02ce516b6b215" > ◆ < / a > < / span > get_divisors()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > uint64_t get_divisors < / td >
< td > (< / td >
< td class = "paramtype" > uint64_t  < / td >
< td class = "paramname" > < em > N< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > uint64_t *  < / td >
< td class = "paramname" > < em > D< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
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< p > Get all integer divisors of a number. < / p >
< dl class = "params" > < dt > Parameters< / dt > < dd >
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< table class = "params" >
< tr > < td class = "paramdir" > [in]< / td > < td class = "paramname" > N< / td > < td > number to find divisors for < / td > < / tr >
< tr > < td class = "paramdir" > [out]< / td > < td class = "paramname" > D< / td > < td > array to store divisors in < / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section return" > < dt > Returns< / dt > < dd > number of divisors found < / dd > < / dl >
< div class = "fragment" > < div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   {< / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   uint64_t q, r;< / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   int64_t i, num = 0;< / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   < / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   < span class = "keywordflow" > if< / span > (< a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > == 1)< / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   {< / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   D[0] = 1;< / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   < span class = "keywordflow" > return< / span > 1;< / div >
< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > 52< / span >   }< / div >
< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > 53< / span >   < / div >
< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   < span class = "comment" > // search till sqrt(N)< / span > < / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   < span class = "comment" > // because after this, the pair of divisors will repeat themselves< / span > < / div >
< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < span class = "keywordflow" > for< / span > (i = 1; i * i < = < a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > + 1; i++)< / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   {< / div >
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< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   r = < a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > % i; < span class = "comment" > // get reminder< / span > < / div >
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< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   < / div >
< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > 60< / span >   < span class = "comment" > // reminder = 0 if ' i' is a divisor of ' N' < / span > < / div >
< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > 61< / span >   < span class = "keywordflow" > if< / span > (r == 0)< / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > 62< / span >   {< / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   q = < a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > / i;< / div >
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< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   < span class = "keywordflow" > if< / span > (!< a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#a4441a6d27134cf3aed05727800d99456" > is_in< / a > (i, D, num)) < span class = "comment" > // if divisor was already stored< / span > < / div >
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< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   {< / div >
< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   D[num] = i;< / div >
< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   num++;< / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   }< / div >
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< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   < span class = "keywordflow" > if< / span > (!< a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#a4441a6d27134cf3aed05727800d99456" > is_in< / a > (q, D, num)) < span class = "comment" > // if divisor was already stored< / span > < / div >
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< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   {< / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   D[num] = q;< / div >
< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / span >   num++;< / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   }< / div >
< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   }< / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   < / div >
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< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < span class = "keywordflow" > if< / span > (num == < a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#adf2a0717e3307419a9d7c52707f5631e" > MAX_L< / a > ) < span class = "comment" > // limit of array reached, allocate more space< / span > < / div >
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< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   D = (uint64_t *)realloc(D, < a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#adf2a0717e3307419a9d7c52707f5631e" > MAX_L< / a > * < span class = "keyword" > sizeof< / span > (uint64_t) < < 1);< / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   }< / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   < span class = "keywordflow" > return< / span > num;< / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   }< / div >
< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../d4/d83/problem__401_2sol1_8c_a7380e14d595d560007b02ce516b6b215_cgraph.svg" width = "200" height = "38" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
< / div >
< / div >
< / div >
< / div >
< a id = "a4441a6d27134cf3aed05727800d99456" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a4441a6d27134cf3aed05727800d99456" > ◆ < / a > < / span > is_in()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > char is_in < / td >
< td > (< / td >
< td class = "paramtype" > uint64_t  < / td >
< td class = "paramname" > < em > N< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > uint64_t *  < / td >
< td class = "paramname" > < em > D< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > uint64_t  < / td >
< td class = "paramname" > < em > L< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
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< p > Check if a number is present in given array. < / p >
< dl class = "params" > < dt > Parameters< / dt > < dd >
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< table class = "params" >
< tr > < td class = "paramdir" > [in]< / td > < td class = "paramname" > N< / td > < td > number to check < / td > < / tr >
< tr > < td class = "paramdir" > [in]< / td > < td class = "paramname" > D< / td > < td > array to check < / td > < / tr >
< tr > < td class = "paramdir" > [in]< / td > < td class = "paramname" > < a class = "el" href = "../../df/db3/struct_l.html" > L< / a > < / td > < td > length of array < / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section return" > < dt > Returns< / dt > < dd > 1 if present < / dd >
< dd >
0 if absent < / dd > < / dl >
< div class = "fragment" > < div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   {< / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   uint64_t i;< / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < span class = "keywordflow" > for< / span > (i = 0; i < < a class = "code" href = "../../df/db3/struct_l.html" > L< / a > ; i++)< / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < span class = "keywordflow" > if< / span > (D[i] == < a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > )< / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < span class = "keywordflow" > return< / span > 1;< / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   }< / div >
< / div > <!-- fragment -->
< / div >
< / div >
< a id = "a236548478af932f1115a71f601a68788" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a236548478af932f1115a71f601a68788" > ◆ < / a > < / span > sigma2()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > uint64_t sigma2 < / td >
< td > (< / td >
< td class = "paramtype" > uint64_t  < / td >
< td class = "paramname" > < em > N< / em > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
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< p > compute sum of squares of all integer factors of a number < / p >
< dl class = "params" > < dt > Parameters< / dt > < dd >
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< table class = "params" >
< tr > < td class = "paramdir" > [in]< / td > < td class = "paramname" > N< / td > < td > < / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section return" > < dt > Returns< / dt > < dd > sum of squares < / dd > < / dl >
< div class = "fragment" > < div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   {< / div >
< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   uint64_t sum = 0, < a class = "code" href = "../../df/db3/struct_l.html" > L< / a > ;< / div >
< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   int64_t i;< / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   uint64_t *D = (uint64_t *)malloc(< a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#adf2a0717e3307419a9d7c52707f5631e" > MAX_L< / a > * < span class = "keyword" > sizeof< / span > (uint64_t));< / div >
< div class = "line" > < a name = "l00092" > < / a > < span class = "lineno" > 92< / span >   < / div >
< div class = "line" > < a name = "l00093" > < / a > < span class = "lineno" > 93< / span >   < a class = "code" href = "../../df/db3/struct_l.html" > L< / a > = < a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#a7380e14d595d560007b02ce516b6b215" > get_divisors< / a > (< a class = "code" href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > , D);< / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "keywordflow" > for< / span > (i = 1; i < < a class = "code" href = "../../df/db3/struct_l.html" > L< / a > ; i++)< / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   {< / div >
< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   uint64_t DD = (D[i] * D[i]) % < a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#aca7d5718ab8c38506adb3bef2469b319" > MOD< / a > ;< / div >
< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   sum += DD;< / div >
< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   }< / div >
< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   < / div >
< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   free(D);< / div >
< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   < span class = "keywordflow" > return< / span > sum % < a class = "code" href = "../../d4/d83/problem__401_2sol1_8c.html#aca7d5718ab8c38506adb3bef2469b319" > MOD< / a > ;< / div >
< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   }< / div >
< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../d4/d83/problem__401_2sol1_8c_a236548478af932f1115a71f601a68788_cgraph.svg" width = "312" height = "38" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
< / div >
< / div >
< / div >
< / div >
< / div > <!-- contents -->
< / div > <!-- doc - content -->
< div class = "ttc" id = "astruct_l_html" > < div class = "ttname" > < a href = "../../df/db3/struct_l.html" > L< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > list.h:8< / div > < / div >
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< div class = "ttc" id = "aproblem__401_2sol1_8c_html_aca7d5718ab8c38506adb3bef2469b319" > < div class = "ttname" > < a href = "../../d4/d83/problem__401_2sol1_8c.html#aca7d5718ab8c38506adb3bef2469b319" > MOD< / a > < / div > < div class = "ttdeci" > #define MOD< / div > < div class = "ttdoc" > modulo limit< / div > < div class = "ttdef" > < b > Definition:< / b > sol1.c:17< / div > < / div >
< div class = "ttc" id = "aproblem__401_2sol1_8c_html_a7380e14d595d560007b02ce516b6b215" > < div class = "ttname" > < a href = "../../d4/d83/problem__401_2sol1_8c.html#a7380e14d595d560007b02ce516b6b215" > get_divisors< / a > < / div > < div class = "ttdeci" > uint64_t get_divisors(uint64_t N, uint64_t *D)< / div > < div class = "ttdoc" > Get all integer divisors of a number.< / div > < div class = "ttdef" > < b > Definition:< / b > sol1.c:43< / div > < / div >
< div class = "ttc" id = "aproblem__401_2sol1_8c_html_adf2a0717e3307419a9d7c52707f5631e" > < div class = "ttname" > < a href = "../../d4/d83/problem__401_2sol1_8c.html#adf2a0717e3307419a9d7c52707f5631e" > MAX_L< / a > < / div > < div class = "ttdeci" > #define MAX_L< / div > < div class = "ttdoc" > chunk size of array allocation< / div > < div class = "ttdef" > < b > Definition:< / b > sol1.c:18< / div > < / div >
< div class = "ttc" id = "aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4" > < div class = "ttname" > < a href = "../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4" > N< / a > < / div > < div class = "ttdeci" > #define N< / div > < div class = "ttdoc" > number of digits of the large number< / div > < div class = "ttdef" > < b > Definition:< / b > sol1.c:109< / div > < / div >
< div class = "ttc" id = "aproblem__401_2sol1_8c_html_a4441a6d27134cf3aed05727800d99456" > < div class = "ttname" > < a href = "../../d4/d83/problem__401_2sol1_8c.html#a4441a6d27134cf3aed05727800d99456" > is_in< / a > < / div > < div class = "ttdeci" > char is_in(uint64_t N, uint64_t *D, uint64_t L)< / div > < div class = "ttdoc" > Check if a number is present in given array.< / div > < div class = "ttdef" > < b > Definition:< / b > sol1.c:28< / div > < / div >
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<!-- start footer part -->
< div id = "nav-path" class = "navpath" > <!-- id is needed for treeview function! -->
< ul >
< li class = "navelem" > < a class = "el" href = "../../dir_b3d331eabd4234f247030c297aaf021c.html" > project_euler< / a > < / li > < li class = "navelem" > < a class = "el" href = "../../dir_2f070f19f76dfadabbc24fe483d7e98d.html" > problem_401< / a > < / li > < li class = "navelem" > < a class = "el" href = "../../d4/d83/problem__401_2sol1_8c.html" > sol1.c< / a > < / li >
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