Pomoc spr CPP

M1
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0

Witam. Pomoże mi ktoś z tym zadaniem asap? Trudne jest i nie rozumiem, help. ```Napisz program sumujący cyfry zadanej liczby. Proces sumowania
powtarzamy aż do momentu otrzymania liczby jednocyfrowej

Kopiuj
AM
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4

Dostajesz na wejściu liczbę sumujesz jej cyfry powtarzasz sumowanie na nowej liczbie do momentu aż wynik <10.

przykład:
Wejście: 987
Wynik: 6 bo (9+8+7 = 24 > 10 -> 2+4 = 6 < 10)

edytowany 1x, ostatnio: amd
enedil
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1
Kopiuj
int y = x % 9;
std::cout << (y == 0) ? 9 : y;
edytowany 1x, ostatnio: enedil
M1
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0

Czy mógłby mi ktoś ten program napisać? Nie rozumiem nic z powyższych przekazów..

lion137
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2

Możesz użyć rekurencji, pseudokod:

Kopiuj
function single_sum(n):
    if n < 10:
        return n
    else:
        return single_sum(digit_sum(n))

Funkcja digit_sum, (sumująca cyfry w liczbie) jest trywialna.


edytowany 1x, ostatnio: lion137
cerrato
Moderator Kariera
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5

Czy mógłby mi ktoś ten program napisać?

Ale masz świadomość, że ten wątek jest niezgodny z regulaminem forum? Niedopuszczalne jest proszenie o pisanie programów do szkoły czy na zaliczenie. Jedynie przez szacunek dla kolegów, którzy tutaj udzielają Ci pomocy - nie przeniosłem go do kosza.

W każdym razie - możemy Ci pomóc w zrozumieniu tematu, ale nikt nie będzie podawać gotowców. A jak się jakiś znowu pojawi, to niestety - całość leci do śmietnika. Było ostrzeżenie, teraz możesz prosić o wytłumaczenie. Gotowców nie będzie, sorry ;)


edytowany 1x, ostatnio: cerrato
kq
Moderator C/C++
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2

Do kiedy masz czas?


M1
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1
cerrato napisał(a):

Czy mógłby mi ktoś ten program napisać?

Ale masz świadomość, że ten wątek jest niezgodny z regulaminem forum? Niedopuszczalne jest proszenie o pisanie programów do szkoły czy na zaliczenie. Jedynie przez szacunek dla kolegów, którzy tutaj udzielają Ci pomocy - nie przeniosłem go do kosza.

W każdym razie - możemy Ci pomóc w zrozumieniu tematu, ale nikt nie będzie podawać gotowców. A jak się jakiś znowu pojawi, to niestety - całość leci do śmietnika. Było ostrzeżenie, teraz możesz prosić o wytłumaczenie. Gotowców nie będzie, sorry ;)

Problem rozwiązany, kolega ma rację. Przepraszam wszystkich, którzy się tutaj udzielili, powinienem najpierw zrozumieć podstawę, a nie na gotowca liczyć bez jakiegokolwiek wysiłku.

_13th_Dragon
  • Rejestracja:ponad 19 lat
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7
cerrato napisał(a):

Gotowców nie będzie, sorry ;)

Przecież nie jesteśmy aż tak źli, czemu nie dać biednemu studentowi gotowca?

Kopiuj
#include <iostream>
#include <sstream>
#include <string>
using namespace std;

int main(int x,char *p[])
{
	if(p) cout<<main(987,nullptr)<<endl;
	else
	{
		int X=0;
		for(auto d:((ostringstream&)(ostringstream()<<x)).str()) X+=(d-'0');
		return (X-x)?main(X,nullptr):X;
	}
	return 0;
}

Wykonuję programy na zamówienie, pisać na Priv.
Asm/C/C++/Pascal/Delphi/Java/C#/PHP/JS oraz inne języki.
stryku
Ciekawe :D Szkoda tylko, że UB (albo ill formed, nie pamiętam dokładnie)
kq
Moderator C/C++
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7

A szkoda, już napisałem program dla liczb z zakresu 0-10000:

Kopiuj
int digit_sum(int);

int main()
{
    DBG(digit_sum(666));
    DBG(digit_sum(999));
    DBG(digit_sum(1000));
}

int digit_sum(int n)
{
    static std::vector<int> sums{0,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,10,2,3,4,5,6,7,8,9,10,11,3,4,5,6,7,8,9,10,11,12,
        4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,1,2,3,4,5,6,7,8,9,10,2,3,4,5,6,7,8,9,10,11,
        3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        2,3,4,5,6,7,8,9,10,11,3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        1,2,3,4,5,6,7,8,9,10,2,3,4,5,6,7,8,9,10,11,3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,2,3,4,5,6,7,8,9,10,11,3,4,5,6,7,8,9,10,11,12,
        4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        2,3,4,5,6,7,8,9,10,11,3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        3,4,5,6,7,8,9,10,11,12,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        4,5,6,7,8,9,10,11,12,13,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        5,6,7,8,9,10,11,12,13,14,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,
        6,7,8,9,10,11,12,13,14,15,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,
        7,8,9,10,11,12,13,14,15,16,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,25,26,27,28,29,30,31,32,33,34,
        8,9,10,11,12,13,14,15,16,17,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,
        24,25,26,27,28,29,30,31,32,33,25,26,27,28,29,30,31,32,33,34,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,25,26,27,28,29,30,31,32,33,34,26,27,28,29,30,31,32,33,34,35,
        9,10,11,12,13,14,15,16,17,18,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,10,11,12,13,14,15,16,17,18,19,11,12,13,14,15,16,17,18,19,20,
        12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        11,12,13,14,15,16,17,18,19,20,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,12,13,14,15,16,17,18,19,20,21,13,14,15,16,17,18,19,20,21,22,
        14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        13,14,15,16,17,18,19,20,21,22,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,14,15,16,17,18,19,20,21,22,23,15,16,17,18,19,20,21,22,23,24,
        16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,
        15,16,17,18,19,20,21,22,23,24,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,
        19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,
        23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,16,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,26,
        18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,
        22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,25,26,27,28,29,30,31,32,33,34,
        17,18,19,20,21,22,23,24,25,26,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,29,
        21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,24,25,26,27,28,29,30,31,32,33,
        25,26,27,28,29,30,31,32,33,34,26,27,28,29,30,31,32,33,34,35,18,19,20,21,22,23,24,25,26,27,19,20,21,22,23,24,25,26,27,28,
        20,21,22,23,24,25,26,27,28,29,21,22,23,24,25,26,27,28,29,30,22,23,24,25,26,27,28,29,30,31,23,24,25,26,27,28,29,30,31,32,
        24,25,26,27,28,29,30,31,32,33,25,26,27,28,29,30,31,32,33,34,26,27,28,29,30,31,32,33,34,35,27,28,29,30,31,32,33,34,35,36
    };

    return sums.at(n);
}

https://wandbox.org/permlink/BrxELxqfz0DggoFo


_13th_Dragon
Owszem nieco dłuższe rozwiązanie, ale z pewnością szybsze niż moje :D Jak to było u mupetów: - Sąd niesprawiedliwy lecz szybki.
cerrato
Ręcznie tą tabelkę wypełniałeś? Szacun :D
kq
Nah, one-liner w ruby: def digit_sum n, n.to_s.each_char.map(&:to_i).sum, end i puts [*0..10000].map{ digit_sum _1 }.each_slice(40).map{ _1.join(",")}.join(",\n") :​P
enedil
Ale to nie działa tak jak powinno :p
_13th_Dragon
'" ....powtarzamy aż do momentu otrzymania liczby jednocyfrowej ... ''. 987 => 6
kq
a, to w main trzeba będzie poprawić, to już niech OP zrobi
_13th_Dragon
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0

Tak się zastanawiam czy dało by się to zrealizować jako metaprogramowanie?
Czyli w czasie kompilacji, chociażby w C++.


Wykonuję programy na zamówienie, pisać na Priv.
Asm/C/C++/Pascal/Delphi/Java/C#/PHP/JS oraz inne języki.
Spearhead
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6
_13th_Dragon napisał(a):

Tak się zastanawiam czy dało by się to zrealizować jako metaprogramowanie?

Czyli w czasie kompilacji, chociażby w C++.

Jak najbardziej.

Kopiuj
#include <iostream>

template<unsigned n>
struct SumOfDigits {	
    static const unsigned value = n % 10 + SumOfDigits<n/10>::value;
};

template<>struct SumOfDigits<0> {
    static const unsigned value = 0;
};

template<unsigned n>
struct Calculate {
    static const unsigned value = Calculate<SumOfDigits<n>::value>::value;
};

template<>struct Calculate<0> {static const unsigned value = 0;};
template<>struct Calculate<1> {static const unsigned value = 1;};
template<>struct Calculate<2> {static const unsigned value = 2;};
template<>struct Calculate<3> {static const unsigned value = 3;};
template<>struct Calculate<4> {static const unsigned value = 4;};
template<>struct Calculate<5> {static const unsigned value = 5;};
template<>struct Calculate<6> {static const unsigned value = 6;};
template<>struct Calculate<7> {static const unsigned value = 7;};
template<>struct Calculate<8> {static const unsigned value = 8;};
template<>struct Calculate<9> {static const unsigned value = 9;};

int main() {
    int i = Calculate<987>::value;
    std::cout << i << std::endl;
}
Zobacz pozostałe 17 komentarzy
_13th_Dragon
@Spearhead, jak @kq - chodziło mi o to żeby stablicować, ale jednak nie udaje mi się zrobić tak aby liczył poprawnie.
kq
ale to w sumie minimalna zmiana, zamiast return num.at(n) zrobić return num.at(n) > 9 ? sum_digits(num.at(n)) : num.at(n) i fajrant ;​)
_13th_Dragon
wtedy nie trzeba tablicować :D
Spearhead
To mów od początku, że chcesz tablicować, bo w treści zadana jest tylko mowa o "zadanej liczbie". Jednej.
Szalony Programista
Szalony Programista
Lookup table w pewnych przypadkach jest strasznie dobre, kiedyś implementowałem łamanie crc32 i brute force to kupę czasu zajmowało, a mając lookup table + wyliczenie wzoru, można było natychmiast znaleźć kolizję.
Althorion
Moderator C/C++
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3

A to też się da, chyba że znowu Cię źle zrozumiałem. Coś na modłę:

Kopiuj
#include <array>
#include <iostream>

constexpr unsigned int SumOfDigits(unsigned int n) {
	if (n < 10) {
		return n;
	} else {
		return n%10 + SumOfDigits(n/10);
	}
}

constexpr auto TableOfSums = [] {
	constexpr auto TableSize = 1234;
	std::array<unsigned int, TableSize> table = {};

	for (unsigned int i = 0; i < TableSize; ++i) {
		table[i] = SumOfDigits(i);
	}

	return table;
}();

int main() {
	static_assert(TableOfSums[987] == 24);

	unsigned int x;
	std::cin >> x;
	std::cout << TableOfSums[x] << '\n';
  
	return 0;
}
edytowany 1x, ostatnio: Althorion
Zobacz pozostałe 13 komentarzy
stryku
Górnego zakresu inta w czasie kompilacji, za pomocą takiej tablicy nie ogarniesz
_13th_Dragon
Jak podam górny zakres jakiś sensowny np: 65000 to czemu nie?
stryku
Wspomniałeś o int, potem o górnym zakresie. Założyłem, że chodzi o górny zakres inta :)
_13th_Dragon
Odnosiłem się do twego komentarzu <0, 1233> czyli dolny oraz górny zakres. :)
stryku
Wszystko jasne
Kliknij, aby dodać treść...

Pomoc 1.18.8

Typografia

Edytor obsługuje składnie Markdown, w której pojedynczy akcent *kursywa* oraz _kursywa_ to pochylenie. Z kolei podwójny akcent **pogrubienie** oraz __pogrubienie__ to pogrubienie. Dodanie znaczników ~~strike~~ to przekreślenie.

Możesz dodać formatowanie komendami , , oraz .

Ponieważ dekoracja podkreślenia jest przeznaczona na linki, markdown nie zawiera specjalnej składni dla podkreślenia. Dlatego by dodać podkreślenie, użyj <u>underline</u>.

Komendy formatujące reagują na skróty klawiszowe: Ctrl+B, Ctrl+I, Ctrl+U oraz Ctrl+S.

Linki

By dodać link w edytorze użyj komendy lub użyj składni [title](link). URL umieszczony w linku lub nawet URL umieszczony bezpośrednio w tekście będzie aktywny i klikalny.

Jeżeli chcesz, możesz samodzielnie dodać link: <a href="link">title</a>.

Wewnętrzne odnośniki

Możesz umieścić odnośnik do wewnętrznej podstrony, używając następującej składni: [[Delphi/Kompendium]] lub [[Delphi/Kompendium|kliknij, aby przejść do kompendium]]. Odnośniki mogą prowadzić do Forum 4programmers.net lub np. do Kompendium.

Wspomnienia użytkowników

By wspomnieć użytkownika forum, wpisz w formularzu znak @. Zobaczysz okienko samouzupełniające nazwy użytkowników. Samouzupełnienie dobierze odpowiedni format wspomnienia, zależnie od tego czy w nazwie użytkownika znajduje się spacja.

Znaczniki HTML

Dozwolone jest używanie niektórych znaczników HTML: <a>, <b>, <i>, <kbd>, <del>, <strong>, <dfn>, <pre>, <blockquote>, <hr/>, <sub>, <sup> oraz <img/>.

Skróty klawiszowe

Dodaj kombinację klawiszy komendą notacji klawiszy lub skrótem klawiszowym Alt+K.

Reprezentuj kombinacje klawiszowe używając taga <kbd>. Oddziel od siebie klawisze znakiem plus, np <kbd>Alt+Tab</kbd>.

Indeks górny oraz dolny

Przykład: wpisując H<sub>2</sub>O i m<sup>2</sup> otrzymasz: H2O i m2.

Składnia Tex

By precyzyjnie wyrazić działanie matematyczne, użyj składni Tex.

<tex>arcctg(x) = argtan(\frac{1}{x}) = arcsin(\frac{1}{\sqrt{1+x^2}})</tex>

Kod źródłowy

Krótkie fragmenty kodu

Wszelkie jednolinijkowe instrukcje języka programowania powinny być zawarte pomiędzy obróconymi apostrofami: `kod instrukcji` lub ``console.log(`string`);``.

Kod wielolinijkowy

Dodaj fragment kodu komendą . Fragmenty kodu zajmujące całą lub więcej linijek powinny być umieszczone w wielolinijkowym fragmencie kodu. Znaczniki ``` lub ~~~ umożliwiają kolorowanie różnych języków programowania. Możemy nadać nazwę języka programowania używając auto-uzupełnienia, kod został pokolorowany używając konkretnych ustawień kolorowania składni:

```javascript
document.write('Hello World');
```

Możesz zaznaczyć również już wklejony kod w edytorze, i użyć komendy  by zamienić go w kod. Użyj kombinacji Ctrl+`, by dodać fragment kodu bez oznaczników języka.

Tabelki

Dodaj przykładową tabelkę używając komendy . Przykładowa tabelka składa się z dwóch kolumn, nagłówka i jednego wiersza.

Wygeneruj tabelkę na podstawie szablonu. Oddziel komórki separatorem ; lub |, a następnie zaznacz szablonu.

nazwisko;dziedzina;odkrycie
Pitagoras;mathematics;Pythagorean Theorem
Albert Einstein;physics;General Relativity
Marie Curie, Pierre Curie;chemistry;Radium, Polonium

Użyj komendy by zamienić zaznaczony szablon na tabelkę Markdown.

Lista uporządkowana i nieuporządkowana

Możliwe jest tworzenie listy numerowanych oraz wypunktowanych. Wystarczy, że pierwszym znakiem linii będzie * lub - dla listy nieuporządkowanej oraz 1. dla listy uporządkowanej.

Użyj komendy by dodać listę uporządkowaną.

1. Lista numerowana
2. Lista numerowana

Użyj komendy by dodać listę nieuporządkowaną.

* Lista wypunktowana
* Lista wypunktowana
** Lista wypunktowana (drugi poziom)

Składnia Markdown

Edytor obsługuje składnię Markdown, która składa się ze znaków specjalnych. Dostępne komendy, jak formatowanie , dodanie tabelki lub fragmentu kodu są w pewnym sensie świadome otaczającej jej składni, i postarają się unikać uszkodzenia jej.

Dla przykładu, używając tylko dostępnych komend, nie możemy dodać formatowania pogrubienia do kodu wielolinijkowego, albo dodać listy do tabelki - mogłoby to doprowadzić do uszkodzenia składni.

W pewnych odosobnionych przypadkach brak nowej linii przed elementami markdown również mógłby uszkodzić składnie, dlatego edytor dodaje brakujące nowe linie. Dla przykładu, dodanie formatowania pochylenia zaraz po tabelce, mogłoby zostać błędne zinterpretowane, więc edytor doda oddzielającą nową linię pomiędzy tabelką, a pochyleniem.

Skróty klawiszowe

Skróty formatujące, kiedy w edytorze znajduje się pojedynczy kursor, wstawiają sformatowany tekst przykładowy. Jeśli w edytorze znajduje się zaznaczenie (słowo, linijka, paragraf), wtedy zaznaczenie zostaje sformatowane.

  • Ctrl+B - dodaj pogrubienie lub pogrub zaznaczenie
  • Ctrl+I - dodaj pochylenie lub pochyl zaznaczenie
  • Ctrl+U - dodaj podkreślenie lub podkreśl zaznaczenie
  • Ctrl+S - dodaj przekreślenie lub przekreśl zaznaczenie

Notacja Klawiszy

  • Alt+K - dodaj notację klawiszy

Fragment kodu bez oznacznika

  • Alt+C - dodaj pusty fragment kodu

Skróty operujące na kodzie i linijkach:

  • Alt+L - zaznaczenie całej linii
  • Alt+, Alt+ - przeniesienie linijki w której znajduje się kursor w górę/dół.
  • Tab/⌘+] - dodaj wcięcie (wcięcie w prawo)
  • Shit+Tab/⌘+[ - usunięcie wcięcia (wycięcie w lewo)

Dodawanie postów:

  • Ctrl+Enter - dodaj post
  • ⌘+Enter - dodaj post (MacOS)