3 Prayers makes more sense than 5.
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Peace be upon you.
Through reading the information on these forums, and its links, and then checking the mentioned verses in the Qur'an - I have come to the conclusion that 3 prayers is the correct amount and not 5.
My reasons for believing this is because (correct me if I'm wrong), we are told that the prayers which we must follow are named, and there are 3 named prayers. (Morning, Evening + Middle). (See Edip Yuksel's article and this very forum for more info and Qur'anic references).
Salaam Steven,
Salaats are not named but they are written on time. I am copying what I wrote on other threads.
As per 4103, Salaats are at specific times. So, what are they? And where are they written?
Salaat + AlFajr - 2458 = Salaat at time of AlFajr
Salaat + AlEshaan - 2458 = Salaat at the time of AlEshaanAlSalaat + AlWusta - 2238 = Salaat at middle/or you want to translate it?
Is AlFajr a time? = yes
Is AlEshaan a time? = yesIs AlWusta a time? = nope
I posted in another place
Brother Salawaat surely is plural that means at least three, but lemme ask you something.
If someone ask you to keep all the books in a rack/shelve and the red one also. How do you understanding this?
When you say ALL BOOKS why not RED BOOK is included in it? Cause, RED BOOK is not with those books, but it was in another place.
Similarly, when Allah said safeguard your AlSalawaat AND AlSalaat AlWusta, that means AlSalawaat is your regular Salaats and AlSalaat AlWusta is NOT included in those Salaats but it is Salaat AlJuma.
Another look
2458
2238
"AL" = The
Salaat + Al + Fajr - 2458
Salaat + Al + Eishaan - 2458Al + Salaat + Al + Wusta - 2238
Please click here to see about AlSalaat AlWusta, inshaAllah.
Hope this may help you inshaAllah.
May Allah increase us in knowledge and guide us to His true path pr
mmKhan -
Thank you for your reply Muhammad,
So, am I right in realizing your conclusion is that before sunrise and after sunset prayers but be done daily, and the middle prayer is a description given to the prayer which must be established in congregation on Friday?
If so, this certainly also makes sense and doesn't conflict with any of Allah's attributes.
((I mention making sense a lot, because it is this "making sense" (and of course, Allah's guidance!) which has brought me to where I am in the first place. When I first embraced Islam, everything made perfect sense, so this, coupled with the scientific miracles of the Qur'an, proved to me that Islam is the true religion. It is only after being pulled into the Sunni sect that things started not making sense, and I was finding contradictions and hypocrisy everywhere, even among some of the most respected teachers. Praise be to Allah, my mind will not shut up until something makes sense. If it doesn't make sense, it sends alarm bells off in my over-active mind and I can't stop thinking about something until I figure it out. . Thinking back, when I was a young teenager, this tendency of mine earned me the nickname (or street name) of "Sensa" from my peers. Praise be to Allah alone - I was also quite advanced as a youth, I shine in an academic environment, for example I was doing high school work in primary school, being tutored separately to most of the other students . I put most of my success academically down to the fact that I would always think for myself rather than blindly follow the others or even the teacher, I would always work things out for myself instead. --- Not that I am trying to be arrogant, rather if you were to meet me I'm sure you would say I am humble (most people I know compliment me on this), and I am far from infallible I have made A LOT of mistakes in my short life, and I am currently not in a very good place financially etc. and I made a lot of social and family based mistakes early on in life (and although I blame no-one but myself for my mistakes, through deep hind sight thinking and meditating, I have come to the conclusion that most of my serious problems came about as a result of NOT trusting my intuition, and NOT thinking for myself, but instead opting to blindly follow other peoples instruction and advice - some of these important lessons I learned the hard way) - but praise be to Allah, they caused me to stop and really think, deeply. (Long story, we can share life stories one day if you wish))
^ I included the above because I think it would be good to actually get to know each other as fellow monotheists, of course the topic of establishing the truth and worshiping Allah is the important topic, but it would be nice to get to know the people I am talking to also, and for you to get to know me.
Peace,
Steven -
Thank you for your reply Muhammad,
So, am I right in realizing your conclusion is that before sunrise and after sunset prayers but be done daily, and the middle prayer is a description given to the prayer which must be established in congregation on Friday?
If so, this certainly also makes sense and doesn't conflict with any of Allah's attributes.
Peace Steven,
You are welcome brother. Yes, your realization is correct!
May Allah bless you and increase us in knowledge and guide us to His true path pr
mmKhan -
Peace to everyone,
Therefore, be patient in the face of their utterances, and praise and glorify your Lord before sunrise (1)and before sunset(2). And during the night (3)glorify Him, as well as at both (4)(5)ends of the day, that you may be happy. The salat is for our spiritual
and physical wellbeing. Salat is not meant to be a burden but a gift and who would turn down gifts
having said that, I make as many of the 5 salat as I am able to. Sometimes I make all five, Sometime 4 etc.,
My most difficult prayer is isha because frankly sometimes I'm just too tired! I seek God's forgiveness
for the prayers/opportunities I miss.An opportunity to
- Get our priorities straight
- refocus our attention
- communicate with the Most High
- Increase blood circulation to the muscles and brain
- stretch
- show graditude to God for having choosen us for guidance
- calm the soul/spirit
There appears to be five salats per day
017.078
Aqimi alssalata lidulooki alshshamsi ila ghasaqi allayli waqur-ana alfajri inna qur-ana alfajri kana mashhoodan
YUSUFALI Establish regular prayers - at the sun's decline till the darkness of the night(4 salats), and the morning prayer(5)and reading for the prayer and reading in the morning carry their testimony. parenthesis are mine PICKTHAL Establish worship at the going down of the sun until the dark of night, and (the recital of) the Qur'an at dawn. Lo! (the recital of) the Qur'an at dawn is ever witnessed.
SHAKIR Keep up prayer from the declining of the sun till the darkness of the night and the morning recitation; surely the morning recitation is witnessed.
KHALIFA You shall observe the Contact Prayer (Salat) when the sun declines from its highest point at noon(dhuhr), as it moves towards sunset(Asr). You shall also observe (the recitation of) the Quran at dawn(fajr). (Reciting) the Quran at dawn is witnessed.
SHAKIR Attend constantly to prayers and to the middle prayer and stand up truly obedient to Allah
The middle prayer would be asr since it is the third prayer of the day
Also the prayers do not have to be named in the Quran because rituals that come to us
from the distant past intact like the positions of salat, the five prayers, the khutbah and salaaming the angels tells us they are correct and do not need to be revealed again.Peace O0
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Peace all.
More to ponder?
There are 5 daily prayers?
Sura 1 proves there are 5 daily contact prayers
Chapter 1 has 7 verses
17 is the number of Rakaats/ units in the 5 daily prayers.
2 + 4 + 4 + 3 + 4= 1729 Arabic words in the 7 verses of chapter 1
29 is the number of initial chapters in the Quran114 chapters overall in the Quran.
114 - 29 = 85
85 is the number of uninitial chapters in the Quran
85 = 17 x 517 Rakaats/units in 5 daily prayers
Or is there? Discuss.
Peace.
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Peace all.
More to ponder?
There are 5 daily prayers?
Sura 1 proves there are 5 daily contact prayers
Chapter 1 has 7 verses
17 is the number of Rakaats/ units in the 5 daily prayers.
2 + 4 + 4 + 3 + 4= 1729 Arabic words in the 7 verses of chapter 1
29 is the number of initial chapters in the Quran114 chapters overall in the Quran.
114 - 29 = 85
85 is the number of uninitial chapters in the Quran
85 = 17 x 517 Rakaats/units in 5 daily prayers
Or is there? Discuss.
Peace.
Peace -- you want to play with code 29 or perhaps 17?
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Peace Noonwaalkalami.
Forget 29 or 17.
Move to sura 2?
Chapter 2 proves there are 5 daily contact prayers
Chapter 2 is the 1st initial chapter
Chapter 2 has 286 verses
1286
1+2+8+6 = 17 There are 17 units/Rakaats in a day1286 x 19 = 24434
2 4 4 3 4 are units of prayers in a day
2+4+4+3+4 = 17Is this 5 prayers also?
Peace.
-
Peace Noonwaalkalami.
Forget 29 or 17.
Move to sura 2?
Chapter 2 proves there are 5 daily contact prayers
Chapter 2 is the 1st initial chapter
Chapter 2 has 286 verses
1286
1+2+8+6 = 17 There are 17 units/Rakaats in a day1286 x 19 = 24434
2 4 4 3 4 are units of prayers in a day
2+4+4+3+4 = 17Is this 5 prayers also?
Peace.
Peace goodlogic -- what is Rakaats?
How many 5 digit, 4 digit, 3 digit, and 2 digit combinations = 17?
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peace Noon Waalqalami.
One Rakaat = one unit. ( example salat Fajr has 2 units/2 rakaats).
peace.
-
Peace, Noon waalqalami
A rakat, or rakaah (Arabic rakah, plural rakat), consists of the prescribed movements and words followed by Muslims while offering prayers to Allah (God).
Fajr 2 rakats Zuhr 4 rakats Asr 4 rakats maghrib 3 rakats Isha 4 rakats Jum'a 2 rakats
Peace O0
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Peace, Noon waalqalami
A rakat, or rakaah (Arabic rakah, plural rakat), consists of the prescribed movements and words followed by Muslims while offering prayers to Allah (God).
Fajr 2 rakats Zuhr 4 rakats Asr 4 rakats maghrib 3 rakats Isha 4 rakats Jum'a 2 rakats
Peace O0
Peace hawkninetynine --
Really, you mean like a karate manual, hit head on the floor get a hard head mark?
Who started this racket business and how many different karate schools are there?
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Peace hawkninetynine --
Really, you mean like a karate manual, hit head on the floor get a hard head mark?
Who started this racket business and how many different karate schools are there?
Peace Noon waalqalami
You asked
Peace goodlogic -- what is Rakaats?
So I gave you an answer that I thought would be helpful.
Peace O0
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Peace all.
More to ponder?
There are 5 daily prayers?
Sura 1 proves there are 5 daily contact prayers
Chapter 1 has 7 verses
17 is the number of Rakaats/ units in the 5 daily prayers.
2 + 4 + 4 + 3 + 4= 1729 Arabic words in the 7 verses of chapter 1
29 is the number of initial chapters in the Quran114 chapters overall in the Quran.
114 - 29 = 85
85 is the number of uninitial chapters in the Quran
85 = 17 x 517 Rakaats/units in 5 daily prayers
Or is there? Discuss.
Peace.
Peace GL,
I did not understand how you conclude 5 daily Salaats from Sura 1? Where is it mentioned of Salaats in Sura 1? Why not 7 aayaats refer to 7 days of week? Why there is no 1+7 or 1x7 or 1/7 or 1-7?
Why don't you take it is referring to 5 days a week? Instead of taking 5 daily Salaat? There is no mentioned of word Salaat or Daily, then how can you conclude it? Please do not play with the word of Allah, be careful, I warn you from the punishment of Allah. So, be aware.
Why not the following
Chapter 1 + 7 aayaats + 29 words = 1729 / 19 = 91 = 9 daily Salaats in 1 day
or
Chapter 1 + 7 aayaats + 29 words = 37 / 19 = 1.9 = 9 daily Salaats in 1 day
&
May Allah protect us and guide us to His true path pr
mmKhan -
Peace mmkhan.
Are you saying I asked you to accept something?
Did I use " Discuss" ? What does it mean?
Typical " Jumping to conclusion/ judgement. What is "Debating"?
And you accuse others of " being like the sunni ulama"? Come on brother khan, unlock your mind, you are better than someone who judges before they think?
Now " discuss" the following
Salawat and the salat el-wusta"Is "Salawat" a plural word meaning three or more in Arabic?
Does two salat have a different word for it in Arabic? What is " Salawatain"?
So if you have " Salawat + Salat el-wusta, it means -At least Four (4)" However four does not fit, it has no " Wusta". Therefore it is at least five(5) Salawat?
Discuss brother.
Peace.
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Peace wasi.
Prove what? Read the posts properly and hopefully you will see that this discussion has been going on for a good few years. It depends what proof you require?
Join the discussion , you are welcome!
Peace.
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Peace mmkhan.
Are you saying I asked you to accept something?
Did I use " Discuss" ? What does it mean?
Typical " Jumping to conclusion/ judgement. What is "Debating"?
And you accuse others of " being like the sunni ulama"? Come on brother khan, unlock your mind, you are better than someone who judges before they think?
Peace GL,
Can you please get me the link where I accused others by saying "being like the sunni ulama?", thanks
Now " discuss" the following
Salawat and the salat el-wusta"Is "Salawat" a plural word meaning three or more in Arabic?
Does two salat have a different word for it in Arabic? What is " Salawatain"?
So if you have " Salawat + Salat el-wusta, it means -At least Four (4)" However four does not fit, it has no " Wusta". Therefore it is at least five(5) Salawat?
Discuss brother.
Peace.
Please I need references from AlQuraan for the word 'Salawatain" and how Salawat + Salat AlWusta makes AT LEAST 4? When Salawat is used which is plural, AlWusta is not included in that Salawat?
Please check my reply # 1 carefully to get your answer brother.
May Allah increase us in knowledge and guide us to His true path pr
mmKhan -
Peace mmkhan.
I will first remind you, that you made the comment of " ulama" about me and Amina when we were discussing " there is no compulsion"...
Second, Quote When Salawat is used which is plural, AlWusta is not included in that Salawat?
How many salat is the following?
You shall consistently observe the Contact Prayers, and the middle prayer, and devote yourselves totally to God[]
I believe this reference is from Qoran! Is this " Salawat + salat wusta"?Peace.
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Prove what? Read the posts properly and hopefully you will see that this discussion has been going on for a good few years. It depends what proof you require?
Peace good logic,
We are discussing and since you posted this...
Peace all.
More to ponder?
There are 5 daily prayers?
Sura 1 proves there are 5 daily contact prayers
Chapter 1 has 7 verses
17 is the number of Rakaats/ units in the 5 daily prayers.
2 + 4 + 4 + 3 + 4= 1729 Arabic words in the 7 verses of chapter 1
29 is the number of initial chapters in the Quran114 chapters overall in the Quran.
114 - 29 = 85
85 is the number of uninitial chapters in the Quran
85 = 17 x 517 Rakaats/units in 5 daily prayers
Or is there? Discuss.
Peace.
Why 17? Why 2 + 4 + 4 + 3 + 4= 17 not any of these?
8+9 =17
9+8 =17
1+7+9 =17
1+8+8 =17
1+9+7 =17
2+6+9 =17
2+7+8 =17
2+8+7 =17
2+9+6 =17
3+5+9 =17
3+6+8 =17
3+7+7 =17
3+8+6 =17
3+9+5 =17
4+4+9 =17
4+5+8 =17
4+6+7 =17
4+7+6 =17
4+8+5 =17
4+9+4 =17
5+3+9 =17
5+4+8 =17
5+5+7 =17
5+6+6 =17
5+7+5 =17
5+8+4 =17
5+9+3 =17
6+2+9 =17
6+3+8 =17
6+4+7 =17
6+5+6 =17
6+6+5 =17
6+7+4 =17
6+8+3 =17
6+9+2 =17
7+1+9 =17
7+2+8 =17
7+3+7 =17
7+4+6 =17
7+5+5 =17
7+6+4 =17
7+7+3 =17
7+8+2 =17
7+9+1 =17
8+1+8 =17
8+2+7 =17
8+3+6 =17
8+4+5 =17
8+5+4 =17
8+6+3 =17
8+7+2 =17
8+8+1 =17
9+1+7 =17
9+2+6 =17
9+3+5 =17
9+4+4 =17
9+5+3 =17
9+6+2 =17
9+7+1 =17
1+1+6+9 =17
1+1+7+8 =17
1+1+8+7 =17
1+1+9+6 =17
1+2+5+9 =17
1+2+6+8 =17
1+2+7+7 =17
1+2+8+6 =17
1+2+9+5 =17
1+3+4+9 =17
1+3+5+8 =17
1+3+6+7 =17
1+3+7+6 =17
1+3+8+5 =17
1+3+9+4 =17
1+4+3+9 =17
1+4+4+8 =17
1+4+5+7 =17
1+4+6+6 =17
1+4+7+5 =17
1+4+8+4 =17
1+4+9+3 =17
1+5+2+9 =17
1+5+3+8 =17
1+5+4+7 =17
1+5+5+6 =17
1+5+6+5 =17
1+5+7+4 =17
1+5+8+3 =17
1+5+9+2 =17
1+6+1+9 =17
1+6+2+8 =17
1+6+3+7 =17
1+6+4+6 =17
1+6+5+5 =17
1+6+6+4 =17
1+6+7+3 =17
1+6+8+2 =17
1+6+9+1 =17
1+7+1+8 =17
1+7+2+7 =17
1+7+3+6 =17
1+7+4+5 =17
1+7+5+4 =17
1+7+6+3 =17
1+7+7+2 =17
1+7+8+1 =17
1+8+1+7 =17
1+8+2+6 =17
1+8+3+5 =17
1+8+4+4 =17
1+8+5+3 =17
1+8+6+2 =17
1+8+7+1 =17
1+9+1+6 =17
1+9+2+5 =17
1+9+3+4 =17
1+9+4+3 =17
1+9+5+2 =17
1+9+6+1 =17
2+1+5+9 =17
2+1+6+8 =17
2+1+7+7 =17
2+1+8+6 =17
2+1+9+5 =17
2+2+4+9 =17
2+2+5+8 =17
2+2+6+7 =17
2+2+7+6 =17
2+2+8+5 =17
2+2+9+4 =17
2+3+3+9 =17
2+3+4+8 =17
2+3+5+7 =17
2+3+6+6 =17
2+3+7+5 =17
2+3+8+4 =17
2+3+9+3 =17
2+4+2+9 =17
2+4+3+8 =17
2+4+4+7 =17
2+4+5+6 =17
2+4+6+5 =17
2+4+7+4 =17
2+4+8+3 =17
2+4+9+2 =17
2+5+1+9 =17
2+5+2+8 =17
2+5+3+7 =17
2+5+4+6 =17
2+5+5+5 =17
2+5+6+4 =17
2+5+7+3 =17
2+5+8+2 =17
2+5+9+1 =17
2+6+1+8 =17
2+6+2+7 =17
2+6+3+6 =17
2+6+4+5 =17
2+6+5+4 =17
2+6+6+3 =17
2+6+7+2 =17
2+6+8+1 =17
2+7+1+7 =17
2+7+2+6 =17
2+7+3+5 =17
2+7+4+4 =17
2+7+5+3 =17
2+7+6+2 =17
2+7+7+1 =17
2+8+1+6 =17
2+8+2+5 =17
2+8+3+4 =17
2+8+4+3 =17
2+8+5+2 =17
2+8+6+1 =17
2+9+1+5 =17
2+9+2+4 =17
2+9+3+3 =17
2+9+4+2 =17
2+9+5+1 =17
3+1+4+9 =17
3+1+5+8 =17
3+1+6+7 =17
3+1+7+6 =17
3+1+8+5 =17
3+1+9+4 =17
3+2+3+9 =17
3+2+4+8 =17
3+2+6+6 =17
3+2+7+5 =17
3+2+8+4 =17
3+2+9+3 =17
3+3+2+9 =17
3+3+3+8 =17
3+3+4+7 =17
3+3+5+6 =17
3+3+6+5 =17
3+3+7+4 =17
3+3+8+3 =17
3+3+9+2 =17
3+4+1+9 =17
3+4+2+8 =17
3+4+3+7 =17
3+4+4+6 =17
3+4+5+5 =17
3+4+6+4 =17
3+4+7+3 =17
3+4+8+2 =17
3+4+9+1 =17
3+5+1+8 =17
3+5+2+7 =17
3+5+3+6 =17
3+5+4+5 =17
3+5+5+4 =17
3+5+6+3 =17
3+5+7+2 =17
3+5+8+1 =17
3+6+1+7 =17
3+6+2+6 =17
3+6+3+5 =17
3+6+4+4 =17
3+6+5+3 =17
3+6+6+2 =17
3+6+7+1 =17
3+7+1+6 =17
3+7+2+5 =17
3+7+3+4 =17
3+7+4+3 =17
3+7+5+2 =17
3+7+6+1 =17
3+8+1+5 =17
3+8+2+4 =17
3+8+3+3 =17
3+8+4+2 =17
3+8+5+1 =17
3+9+1+4 =17
3+9+2+3 =17
3+9+3+2 =17
3+9+4+1 =17
4+1+3+9 =17
4+1+4+8 =17
4+1+5+7 =17
4+1+6+6 =17
4+1+7+5 =17
4+1+8+4 =17
4+1+9+3 =17
4+2+2+9 =17
4+2+3+8 =17
4+2+4+7 =17
4+2+5+6 =17
4+2+6+5 =17
4+2+7+4 =17
4+2+8+3 =17
4+2+9+2 =17
4+3+1+9 =17
4+3+2+8 =17
4+3+3+7 =17
4+3+4+6 =17
4+3+5+5 =17
4+3+6+4 =17
4+3+7+3 =17
4+3+8+2 =17
4+3+9+1 =17
4+4+1+8 =17
4+4+2+7 =17
4+4+3+6 =17
4+4+4+5 =17
4+4+5+4 =17
4+4+6+3 =17
4+4+7+2 =17
4+4+8+1 =17
4+5+1+7 =17
4+5+2+6 =17
4+5+3+5 =17
4+5+4+4 =17
4+5+5+3 =17
4+5+6+2 =17
4+5+7+1 =17
4+6+1+6 =17
4+6+2+5 =17
4+6+3+4 =17
4+6+4+3 =17
4+6+5+2 =17
4+6+6+1 =17
4+7+1+5 =17
4+7+2+4 =17
4+7+3+3 =17
4+7+4+2 =17
4+7+5+1 =17
4+8+1+4 =17
4+8+2+3 =17
4+8+3+2 =17
4+8+4+1 =17
4+9+1+3 =17
4+9+2+2 =17
4+9+3+1 =17
5+1+2+9 =17
5+1+3+8 =17
5+1+4+7 =17
5+1+5+6 =17
5+1+6+5 =17
5+1+7+4 =17
5+1+8+3 =17
5+1+9+2 =17
5+2+1+9 =17
5+2+2+8 =17
5+2+3+7 =17
5+2+4+6 =17
5+2+5+5 =17
5+2+6+4 =17
5+2+7+3 =17
5+2+8+2 =17
5+2+9+1 =17
5+3+1+8 =17
5+3+2+7 =17
5+3+3+6 =17
5+3+4+5 =17
5+3+5+4 =17
5+3+6+3 =17
5+3+7+2 =17
5+3+8+1 =17
5+4+1+7 =17
5+4+2+6 =17
5+4+3+5 =17
5+4+4+4 =17
5+4+5+3 =17
5+4+6+2 =17
5+4+7+1 =17
5+5+1+6 =17
5+5+2+5 =17
5+5+3+4 =17
5+5+4+3 =17
5+5+5+2 =17
5+5+6+1 =17
5+6+1+5 =17
5+6+2+4 =17
5+6+3+3 =17
5+6+4+2 =17
5+6+5+1 =17
5+7+1+4 =17
5+7+2+3 =17
5+7+3+2 =17
5+7+4+1 =17
5+8+1+3 =17
5+8+2+2 =17
5+8+3+1 =17
5+9+1+2 =17
5+9+2+1 =17
6+1+1+9 =17
6+1+2+8 =17
6+1+3+7 =17
6+1+4+6 =17
6+1+5+5 =17
6+1+6+4 =17
6+1+7+3 =17
6+1+8+2 =17
6+1+9+1 =17
6+2+1+8 =17
6+2+2+7 =17
6+2+3+6 =17
6+2+4+5 =17
6+2+5+4 =17
6+2+6+3 =17
6+2+7+2 =17
6+2+8+1 =17
6+3+1+7 =17
6+3+2+6 =17
6+3+3+5 =17
6+3+4+4 =17
6+3+5+3 =17
6+3+6+2 =17
6+3+7+1 =17
6+4+1+6 =17
6+4+2+5 =17
6+4+3+4 =17
6+4+4+3 =17
6+4+5+2 =17
6+4+6+1 =17
6+5+1+5 =17
6+5+2+4 =17
6+5+3+3 =17
6+5+4+2 =17
6+5+5+1 =17
6+6+1+4 =17
6+6+2+3 =17
6+6+3+2 =17
6+6+4+1 =17
6+7+1+3 =17
6+7+2+2 =17
6+7+3+1 =17
6+8+1+2 =17
6+8+2+1 =17
6+9+1+1 =17
7+1+1+8 =17
7+1+2+7 =17
7+1+3+6 =17
7+1+4+5 =17
7+1+5+4 =17
7+1+6+3 =17
7+1+7+2 =17
7+1+8+1 =17
7+2+1+7 =17
7+2+2+6 =17
7+2+3+5 =17
7+2+4+4 =17
7+2+5+3 =17
7+2+6+2 =17
7+2+7+1 =17
7+3+1+6 =17
7+3+2+5 =17
7+3+3+4 =17
7+3+4+3 =17
7+3+5+2 =17
7+3+6+1 =17
7+4+1+5 =17
7+4+2+4 =17
7+4+3+3 =17
7+4+4+2 =17
7+4+5+1 =17
7+5+1+4 =17
7+5+2+3 =17
7+5+3+2 =17
7+5+4+1 =17
7+6+1+3 =17
7+6+2+2 =17
7+6+3+1 =17
7+7+1+2 =17
7+7+2+1 =17
7+8+1+1 =17
8+1+1+7 =17
8+1+2+6 =17
8+1+3+5 =17
8+1+4+4 =17
8+1+5+3 =17
8+1+6+2 =17
8+1+7+1 =17
8+2+1+6 =17
8+2+2+5 =17
8+2+3+4 =17
8+2+4+3 =17
8+2+5+2 =17
8+2+6+1 =17
8+3+1+5 =17
8+3+2+4 =17
8+3+3+3 =17
8+3+4+2 =17
8+3+5+1 =17
8+4+1+4 =17
8+4+2+3 =17
8+4+3+2 =17
8+4+4+1 =17
8+5+1+3 =17
8+5+2+2 =17
8+5+3+1 =17
8+6+1+2 =17
8+6+2+1 =17
8+7+1+1 =17
9+1+1+6 =17
9+1+2+5 =17
9+1+3+4 =17
9+1+4+3 =17
9+1+5+2 =17
9+1+6+1 =17
9+2+1+5 =17
9+2+2+4 =17
9+2+3+3 =17
9+2+4+2 =17
9+2+5+1 =17
9+3+1+4 =17
9+3+2+3 =17
9+3+3+2 =17
9+3+4+1 =17
9+4+1+3 =17
9+4+2+2 =17
9+4+3+1 =17
9+5+1+2 =17
9+5+2+1 =17
9+6+1+1 =17
1+1+1+5+9 =17
1+1+1+6+8 =17
1+1+1+7+7 =17
1+1+1+8+6 =17
1+1+1+9+5 =17
1+1+2+4+9 =17
1+1+2+5+8 =17
1+1+2+6+7 =17
1+1+2+7+6 =17
1+1+2+8+5 =17
1+1+2+9+4 =17
1+1+3+3+9 =17
1+1+3+4+8 =17
1+1+3+5+7 =17
1+1+3+6+6 =17
1+1+3+7+5 =17
1+1+3+8+4 =17
1+1+3+9+3 =17
1+1+4+2+9 =17
1+1+4+3+8 =17
1+1+4+4+7 =17
1+1+4+5+6 =17
1+1+4+6+5 =17
1+1+4+7+4 =17
1+1+4+8+3 =17
1+1+4+9+2 =17
1+1+5+1+9 =17
1+1+5+2+8 =17
1+1+5+3+7 =17
1+1+5+4+6 =17
1+1+5+5+5 =17
1+1+5+6+4 =17
1+1+5+7+3 =17
1+1+5+8+2 =17
1+1+5+9+1 =17
1+1+6+1+8 =17
1+1+6+2+7 =17
1+1+6+3+6 =17
1+1+6+4+5 =17
1+1+6+5+4 =17
1+1+6+6+3 =17
1+1+6+7+2 =17
1+1+6+8+1 =17
1+1+7+1+7 =17
1+1+7+2+6 =17
1+1+7+3+5 =17
1+1+7+4+4 =17
1+1+7+5+3 =17
1+1+7+6+2 =17
1+1+7+7+1 =17
1+1+8+1+6 =17
1+1+8+2+5 =17
1+1+8+3+4 =17
1+1+8+4+3 =17
1+1+8+5+2 =17
1+1+8+6+1 =17
1+1+9+1+5 =17
1+1+9+2+4 =17
1+1+9+3+3 =17
1+1+9+4+2 =17
1+1+9+5+1 =17
1+2+1+4+9 =17
1+2+1+5+8 =17
1+2+1+6+7 =17
1+2+1+7+6 =17
1+2+1+8+5 =17
1+2+1+9+4 =17
1+2+2+3+9 =17
1+2+2+4+8 =17
1+2+2+5+7 =17
1+2+2+6+6 =17
1+2+2+7+5 =17
1+2+2+8+4 =17
1+2+2+9+3 =17
1+2+3+2+9 =17
1+2+3+3+8 =17
1+2+3+4+7 =17
1+2+3+5+6 =17
1+2+3+6+5 =17
1+2+3+7+4 =17
1+2+3+8+3 =17
1+2+3+9+2 =17
1+2+4+1+9 =17
1+2+4+2+8 =17
1+2+4+3+7 =17
1+2+4+4+6 =17
1+2+4+5+5 =17
1+2+4+6+4 =17
1+2+4+7+3 =17
1+2+4+8+2 =17
1+2+4+9+1 =17
1+2+5+1+8 =17
1+2+5+2+7 =17
1+2+5+3+6 =17
1+2+5+4+5 =17
1+2+5+5+4 =17
1+2+5+6+3 =17
1+2+5+7+2 =17
1+2+5+8+1 =17
1+2+6+1+7 =17
1+2+6+2+6 =17
1+2+6+3+5 =17
1+2+6+4+4 =17
1+2+6+5+3 =17
1+2+6+6+2 =17
1+2+6+7+1 =17
1+2+7+1+6 =17
1+2+7+2+5 =17
1+2+7+3+4 =17
1+2+7+4+3 =17
1+2+7+5+2 =17
1+2+7+6+1 =17
1+2+8+1+5 =17
1+2+8+2+4 =17
1+2+8+3+3 =17
1+2+8+4+2 =17
1+2+8+5+1 =17
1+2+9+1+4 =17
1+2+9+2+3 =17
1+2+9+3+2 =17
1+2+9+4+1 =17
1+3+1+3+9 =17
1+3+1+4+8 =17
1+3+1+5+7 =17
1+3+1+6+6 =17
1+3+1+7+5 =17
1+3+1+8+4 =17
1+3+1+9+3 =17
1+3+2+2+9 =17
1+3+2+3+8 =17
1+3+2+4+7 =17
1+3+2+5+6 =17
1+3+2+6+5 =17
1+3+2+7+4 =17
1+3+2+8+3 =17
1+3+2+9+2 =17
1+3+3+1+9 =17
1+3+3+2+8 =17
1+3+3+3+7 =17
1+3+3+4+6 =17
1+3+3+5+5 =17
1+3+3+6+4 =17
1+3+3+7+3 =17
1+3+3+8+2 =17
1+3+3+9+1 =17
1+3+4+1+8 =17
1+3+4+2+7 =17
1+3+4+3+6 =17
1+3+4+4+5 =17
1+3+4+5+4 =17
1+3+4+6+3 =17
1+3+4+7+2 =17
1+3+4+8+1 =17
1+3+5+1+7 =17
1+3+5+2+6 =17
1+3+5+3+5 =17
1+3+5+4+4 =17
1+3+5+5+3 =17
1+3+5+6+2 =17
1+3+5+7+1 =17
1+3+6+1+6 =17
1+3+6+2+5 =17
1+3+6+3+4 =17
1+3+6+4+3 =17
1+3+6+5+2 =17
1+3+6+6+1 =17
1+3+7+1+5 =17
1+3+7+2+4 =17
1+3+7+3+3 =17
1+3+7+4+2 =17
1+3+7+5+1 =17
1+3+8+1+4 =17
1+3+8+2+3 =17
1+3+8+3+2 =17
1+3+8+4+1 =17
1+3+9+1+3 =17
1+3+9+2+2 =17
1+3+9+3+1 =17
1+4+1+2+9 =17
1+4+1+3+8 =17
1+4+1+4+7 =17
1+4+1+5+6 =17
1+4+1+6+5 =17
1+4+1+7+4 =17
1+4+1+8+3 =17
1+4+1+9+2 =17
1+4+2+1+9 =17
1+4+2+2+8 =17
1+4+2+3+7 =17
1+4+2+4+6 =17
1+4+2+5+5 =17
1+4+2+6+4 =17
1+4+2+7+3 =17
1+4+2+8+2 =17
1+4+2+9+1 =17
1+4+3+1+8 =17
1+4+3+2+7 =17
1+4+3+3+6 =17
1+4+3+4+5 =17
1+4+3+5+4 =17
1+4+3+6+3 =17
1+4+3+7+2 =17
1+4+3+8+1 =17
1+4+4+1+7 =17
1+4+4+2+6 =17
1+4+4+3+5 =17
1+4+4+4+4 =17
1+4+4+5+3 =17
1+4+4+6+2 =17
1+4+4+7+1 =17
1+4+5+1+6 =17
1+4+5+2+5 =17
1+4+5+3+4 =17
1+4+5+4+3 =17
1+4+5+5+2 =17
1+4+5+6+1 =17
1+4+6+1+5 =17
1+4+6+2+4 =17
1+4+6+3+3 =17
1+4+6+4+2 =17
1+4+6+5+1 =17
1+4+7+1+4 =17
1+4+7+2+3 =17
1+4+7+3+2 =17
1+4+7+4+1 =17
1+4+8+1+3 =17
1+4+8+2+2 =17
1+4+8+3+1 =17
1+4+9+1+2 =17
1+4+9+2+1 =17
1+5+1+1+9 =17
1+5+1+2+8 =17
1+5+1+3+7 =17
1+5+1+4+6 =17
1+5+1+5+5 =17
1+5+1+6+4 =17
1+5+1+7+3 =17
1+5+1+8+2 =17
1+5+1+9+1 =17
1+5+2+1+8 =17
1+5+2+2+7 =17
1+5+2+3+6 =17
1+5+2+4+5 =17
1+5+2+5+4 =17
1+5+2+6+3 =17
1+5+2+7+2 =17
1+5+2+8+1 =17
1+5+3+1+7 =17
1+5+3+2+6 =17
1+5+3+3+5 =17
1+5+3+4+4 =17
1+5+3+5+3 =17
1+5+3+6+2 =17
1+5+3+7+1 =17
1+5+4+1+6 =17
1+5+4+2+5 =17
1+5+4+3+4 =17
1+5+4+4+3 =17
1+5+4+5+2 =17
1+5+4+6+1 =17
1+5+5+1+5 =17
1+5+5+2+4 =17
1+5+5+3+3 =17
1+5+5+4+2 =17
1+5+5+5+1 =17
1+5+6+1+4 =17
1+5+6+2+3 =17
1+5+6+3+2 =17
1+5+6+4+1 =17
1+5+7+1+3 =17
1+5+7+2+2 =17
1+5+7+3+1 =17
1+5+8+1+2 =17
1+5+8+2+1 =17
1+5+9+1+1 =17
1+6+1+1+8 =17
1+6+1+2+7 =17
1+6+1+3+6 =17
1+6+1+4+5 =17
1+6+1+5+4 =17
1+6+1+6+3 =17
1+6+1+7+2 =17
1+6+1+8+1 =17
1+6+2+1+7 =17
1+6+2+2+6 =17
1+6+2+3+5 =17
1+6+2+4+4 =17
1+6+2+5+3 =17
1+6+2+6+2 =17
1+6+2+7+1 =17
1+6+3+1+6 =17
1+6+3+2+5 =17
1+6+3+3+4 =17
1+6+3+4+3 =17
1+6+3+5+2 =17
1+6+3+6+1 =17
1+6+4+1+5 =17
1+6+4+2+4 =17
1+6+4+3+3 =17
1+6+4+4+2 =17
1+6+4+5+1 =17
1+6+5+1+4 =17
1+6+5+2+3 =17
1+6+5+3+2 =17
1+6+5+4+1 =17
1+6+6+1+3 =17
1+6+6+2+2 =17
1+6+6+3+1 =17
1+6+7+1+2 =17
1+6+7+2+1 =17
1+6+8+1+1 =17
1+7+1+1+7 =17
1+7+1+2+6 =17
1+7+1+3+5 =17
1+7+1+4+4 =17
1+7+1+5+3 =17
1+7+1+6+2 =17
1+7+1+7+1 =17
1+7+2+1+6 =17
1+7+2+2+5 =17
1+7+2+3+4 =17
1+7+2+4+3 =17
1+7+2+5+2 =17
1+7+2+6+1 =17
1+7+3+1+5 =17
1+7+3+2+4 =17
1+7+3+3+3 =17
1+7+3+4+2 =17
1+7+3+5+1 =17
1+7+4+1+4 =17
1+7+4+2+3 =17
1+7+4+3+2 =17
1+7+4+4+1 =17
1+7+5+1+3 =17
1+7+5+2+2 =17
1+7+5+3+1 =17
1+7+6+1+2 =17
1+7+6+2+1 =17
1+7+7+1+1 =17
1+8+1+1+6 =17
1+8+1+2+5 =17
1+8+1+3+4 =17
1+8+1+4+3 =17
1+8+1+5+2 =17
1+8+1+6+1 =17
1+8+2+1+5 =17
1+8+2+2+4 =17
1+8+2+3+3 =17
1+8+2+4+2 =17
1+8+2+5+1 =17
1+8+3+1+4 =17
1+8+3+2+3 =17
1+8+3+3+2 =17
1+8+3+4+1 =17
1+8+4+1+3 =17
1+8+4+2+2 =17
1+8+4+3+1 =17
1+8+5+1+2 =17
1+8+5+2+1 =17
1+8+6+1+1 =17
1+9+1+1+5 =17
1+9+1+2+4 =17
1+9+1+3+3 =17
1+9+1+4+2 =17
1+9+1+5+1 =17
1+9+2+1+4 =17
1+9+2+2+3 =17
1+9+2+3+2 =17
1+9+2+4+1 =17
1+9+3+1+3 =17
1+9+3+2+2 =17
1+9+3+3+1 =17
1+9+4+1+2 =17
1+9+4+2+1 =17
1+9+5+1+1 =17
2+1+1+4+9 =17
2+1+1+5+8 =17
2+1+1+6+7 =17
2+1+1+7+6 =17
2+1+1+8+5 =17
2+1+1+9+4 =17
2+1+2+3+9 =17
2+1+2+4+8 =17
2+1+2+5+7 =17
2+1+2+6+6 =17
2+1+2+7+5 =17
2+1+2+8+4 =17
2+1+2+9+3 =17
2+1+3+2+9 =17
2+1+3+3+8 =17
2+1+3+4+7 =17
2+1+3+5+6 =17
2+1+3+6+5 =17
2+1+3+7+4 =17
2+1+3+8+3 =17
2+1+3+9+2 =17
2+1+4+1+9 =17
2+1+4+2+8 =17
2+1+4+3+7 =17
2+1+4+4+6 =17
2+1+4+5+5 =17
2+1+4+6+4 =17
2+1+4+7+3 =17
2+1+4+8+2 =17
2+1+4+9+1 =17
2+1+5+1+8 =17
2+1+5+2+7 =17
2+1+5+3+6 =17
2+1+5+4+5 =17
2+1+5+5+4 =17
2+1+5+6+3 =17
2+1+5+7+2 =17
2+1+5+8+1 =17
2+1+6+1+7 =17
2+1+6+2+6 =17
2+1+6+3+5 =17
2+1+6+4+4 =17
2+1+6+5+3 =17
2+1+6+6+2 =17
2+1+6+7+1 =17
2+1+7+1+6 =17
2+1+7+2+5 =17
2+1+7+3+4 =17
2+1+7+4+3 =17
2+1+7+5+2 =17
2+1+7+6+1 =17
2+1+8+1+5 =17
2+1+8+2+4 =17
2+1+8+3+3 =17
2+1+8+4+2 =17
2+1+8+5+1 =17
2+1+9+1+4 =17
2+1+9+2+3 =17
2+1+9+3+2 =17
2+1+9+4+1 =17
2+2+1+3+9 =17
2+2+1+4+8 =17
2+2+1+5+7 =17
2+2+1+6+6 =17
2+2+1+7+5 =17
2+2+1+8+4 =17
2+2+1+9+3 =17
2+2+2+2+9 =17
2+2+2+3+8 =17
2+2+2+4+7 =17
2+2+2+5+6 =17
2+2+2+6+5 =17
2+2+2+7+4 =17
2+2+2+8+3 =17
2+2+2+9+2 =17
2+2+3+1+9 =17
2+2+3+2+8 =17
2+2+3+3+7 =17
2+2+3+4+6 =17
2+2+3+5+5 =17
2+2+3+6+4 =17
2+2+3+7+3 =17
2+2+3+8+2 =17
2+2+3+9+1 =17
2+2+4+1+8 =17
2+2+4+2+7 =17
2+2+4+3+6 =17
2+2+4+4+5 =17
2+2+4+5+4 =17
2+2+4+6+3 =17
2+2+4+7+2 =17
2+2+4+8+1 =17
2+2+5+1+7 =17
2+2+5+2+6 =17
2+2+5+3+5 =17
2+2+5+4+4 =17
2+2+5+5+3 =17
2+2+5+6+2 =17
2+2+5+7+1 =17
2+2+6+1+6 =17
2+2+6+2+5 =17
2+2+6+3+4 =17
2+2+6+4+3 =17
2+2+6+5+2 =17
2+2+6+6+1 =17
2+2+7+1+5 =17
2+2+7+2+4 =17
2+2+7+3+3 =17
2+2+7+4+2 =17
2+2+7+5+1 =17
2+2+8+1+4 =17
2+2+8+2+3 =17
2+2+8+3+2 =17
2+2+8+4+1 =17
2+2+9+1+3 =17
2+2+9+2+2 =17
2+2+9+3+1 =17
2+3+1+2+9 =17
2+3+1+3+8 =17
2+3+1+4+7 =17
2+3+1+5+6 =17
2+3+1+6+5 =17
2+3+1+7+4 =17
2+3+1+8+3 =17
2+3+1+9+2 =17
2+3+2+1+9 =17
2+3+2+2+8 =17
2+3+2+3+7 =17
2+3+2+4+6 =17
2+3+2+5+5 =17
2+3+2+6+4 =17
2+3+2+7+3 =17
2+3+2+8+2 =17
2+3+2+9+1 =17
2+3+3+1+8 =17
2+3+3+2+7 =17
2+3+3+3+6 =17
2+3+3+4+5 =17
2+3+3+5+4 =17
2+3+3+6+3 =17
2+3+3+7+2 =17
2+3+3+8+1 =17
2+3+4+1+7 =17
2+3+4+2+6 =17
2+3+4+3+5 =17
2+3+4+4+4 =17
2+3+4+5+3 =17
2+3+4+6+2 =17
2+3+4+7+1 =17
2+3+5+1+6 =17
2+3+5+2+5 =17
2+3+5+3+4 =17
2+3+5+4+3 =17
2+3+5+5+2 =17
2+3+5+6+1 =17
2+3+6+1+5 =17
2+3+6+2+4 =17
2+3+6+3+3 =17
2+3+6+4+2 =17
2+3+6+5+1 =17
2+3+7+1+4 =17
2+3+7+2+3 =17
2+3+7+3+2 =17
2+3+7+4+1 =17
2+3+8+1+3 =17
2+3+8+2+2 =17
2+3+8+3+1 =17
2+3+9+1+2 =17
2+3+9+2+1 =17
2+4+1+1+9 =17
2+4+1+2+8 =17
2+4+1+3+7 =17
2+4+1+4+6 =17
2+4+1+5+5 =17
2+4+1+6+4 =17
2+4+1+7+3 =17
2+4+1+8+2 =17
2+4+1+9+1 =17
2+4+2+1+8 =17
2+4+2+2+7 =17
2+4+2+3+6 =17
2+4+2+4+5 =17
2+4+2+5+4 =17
2+4+2+6+3 =17
2+4+2+7+2 =17
2+4+2+8+1 =17
2+4+3+1+7 =17
2+4+3+2+6 =17
2+4+3+3+5 =17
2+4+3+4+4 =17
2+4+3+5+3 =17
2+4+3+6+2 =17
2+4+3+7+1 =17
2+4+4+1+6 =17
2+4+4+2+5 =17
2+4+4+3+4 =17
2+4+4+4+3 =17
2+4+4+5+2 =17
2+4+4+6+1 =17
2+4+5+1+5 =17
2+4+5+2+4 =17
2+4+5+3+3 =17
2+4+5+4+2 =17
2+4+5+5+1 =17
2+4+6+1+4 =17
2+4+6+2+3 =17
2+4+6+3+2 =17
2+4+6+4+1 =17
2+4+7+1+3 =17
2+4+7+2+2 =17
2+4+7+3+1 =17
2+4+8+1+2 =17
2+4+8+2+1 =17
2+4+9+1+1 =17
2+5+1+1+8 =17
2+5+1+2+7 =17
2+5+1+3+6 =17
2+5+1+4+5 =17
2+5+1+5+4 =17
2+5+1+6+3 =17
2+5+1+7+2 =17
2+5+1+8+1 =17
2+5+2+1+7 =17
2+5+2+2+6 =17
2+5+2+3+5 =17
2+5+2+4+4 =17
2+5+2+5+3 =17
2+5+2+6+2 =17
2+5+2+7+1 =17
2+5+3+1+6 =17
2+5+3+2+5 =17
2+5+3+3+4 =17
2+5+3+4+3 =17
2+5+3+5+2 =17
2+5+3+6+1 =17
2+5+4+1+5 =17
2+5+4+2+4 =17
2+5+4+3+3 =17
2+5+4+4+2 =17
2+5+4+5+1 =17
2+5+5+1+4 =17
2+5+5+2+3 =17
2+5+5+3+2 =17
2+5+5+4+1 =17
2+5+6+1+3 =17
2+5+6+2+2 =17
2+5+6+3+1 =17
2+5+7+1+2 =17
2+5+7+2+1 =17
2+5+8+1+1 =17
2+6+1+1+7 =17
2+6+1+2+6 =17
2+6+1+3+5 =17
2+6+1+4+4 =17
2+6+1+5+3 =17
2+6+1+6+2 =17
2+6+1+7+1 =17
2+6+2+1+6 =17
2+6+2+2+5 =17
2+6+2+3+4 =17
2+6+2+4+3 =17
2+6+2+5+2 =17
2+6+2+6+1 =17
2+6+3+1+5 =17
2+6+3+2+4 =17
2+6+3+3+3 =17
2+6+3+4+2 =17
2+6+3+5+1 =17
2+6+4+1+4 =17
2+6+4+2+3 =17
2+6+4+3+2 =17
2+6+4+4+1 =17
2+6+5+1+3 =17
2+6+5+2+2 =17
2+6+5+3+1 =17
2+6+6+1+2 =17
2+6+6+2+1 =17
2+6+7+1+1 =17
2+7+1+1+6 =17
2+7+1+2+5 =17
2+7+1+3+4 =17
2+7+1+4+3 =17
2+7+1+5+2 =17
2+7+1+6+1 =17
2+7+2+1+5 =17
2+7+2+2+4 =17
2+7+2+3+3 =17
2+7+2+4+2 =17
2+7+2+5+1 =17
2+7+3+1+4 =17
2+7+3+2+3 =17
2+7+3+3+2 =17
2+7+3+4+1 =17
2+7+4+1+3 =17
2+7+4+2+2 =17
2+7+4+3+1 =17
2+7+5+1+2 =17
2+7+5+2+1 =17
2+7+6+1+1 =17
2+8+1+1+5 =17
2+8+1+2+4 =17
2+8+1+3+3 =17
2+8+1+4+2 =17
2+8+1+5+1 =17
2+8+2+1+4 =17
2+8+2+2+3 =17
2+8+2+3+2 =17
2+8+2+4+1 =17
2+8+3+1+3 =17
2+8+3+2+2 =17
2+8+3+3+1 =17
2+8+4+1+2 =17
2+8+4+2+1 =17
2+8+5+1+1 =17
2+9+1+1+4 =17
2+9+1+2+3 =17
2+9+1+3+2 =17
2+9+1+4+1 =17
2+9+2+1+3 =17
2+9+2+2+2 =17
2+9+2+3+1 =17
2+9+3+1+2 =17
2+9+3+2+1 =17
2+9+4+1+1 =17
3+1+1+3+9 =17
3+1+1+4+8 =17
3+1+1+5+7 =17
3+1+1+6+6 =17
3+1+1+7+5 =17
3+1+1+8+4 =17
3+1+1+9+3 =17
3+1+2+2+9 =17
3+1+2+3+8 =17
3+1+2+4+7 =17
3+1+2+5+6 =17
3+1+2+6+5 =17
3+1+2+7+4 =17
3+1+2+8+3 =17
3+1+2+9+2 =17
3+1+3+1+9 =17
3+1+3+2+8 =17
3+1+3+3+7 =17
3+1+3+4+6 =17
3+1+3+5+5 =17
3+1+3+6+4 =17
3+1+3+7+3 =17
3+1+3+8+2 =17
3+1+3+9+1 =17
3+1+4+1+8 =17
3+1+4+2+7 =17
3+1+4+3+6 =17
3+1+4+4+5 =17
3+1+4+5+4 =17
3+1+4+6+3 =17
3+1+4+7+2 =17
3+1+4+8+1 =17
3+1+5+1+7 =17
3+1+5+2+6 =17
3+1+5+3+5 =17
3+1+5+4+4 =17
3+1+5+5+3 =17
3+1+5+6+2 =17
3+1+5+7+1 =17
3+1+6+1+6 =17
3+1+6+2+5 =17
3+1+6+3+4 =17
3+1+6+4+3 =17
3+1+6+5+2 =17
3+1+6+6+1 =17
3+1+7+1+5 =17
3+1+7+2+4 =17
3+1+7+3+3 =17
3+1+7+4+2 =17
3+1+7+5+1 =17
3+1+8+1+4 =17
3+1+8+2+3 =17
3+1+8+3+2 =17
3+1+8+4+1 =17
3+1+9+1+3 =17
3+1+9+2+2 =17
3+1+9+3+1 =17
3+2+1+2+9 =17
3+2+1+3+8 =17
3+2+1+4+7 =17
3+2+1+5+6 =17
3+2+1+6+5 =17
3+2+1+7+4 =17
3+2+1+8+3 =17
3+2+1+9+2 =17
3+2+2+1+9 =17
3+2+2+2+8 =17
3+2+2+3+7 =17
3+2+2+4+6 =17
3+2+2+5+5 =17
3+2+2+6+4 =17
3+2+2+7+3 =17
3+2+2+8+2 =17
3+2+2+9+1 =17
3+2+3+1+8 =17
3+2+3+2+7 =17
3+2+3+3+6 =17
3+2+3+4+5 =17
3+2+3+5+4 =17
3+2+3+6+3 =17
3+2+3+7+2 =17
3+2+3+8+1 =17
3+2+4+1+7 =17
3+2+4+2+6 =17
3+2+4+3+5 =17
3+2+4+4+4 =17
3+2+4+5+3 =17
3+2+4+6+2 =17
3+2+4+7+1 =17
3+2+5+1+6 =17
3+2+5+2+5 =17
3+2+5+3+4 =17
3+2+5+4+3 =17
3+2+5+5+2 =17
3+2+5+6+1 =17
3+2+6+1+5 =17
3+2+6+2+4 =17
3+2+6+3+3 =17
3+2+6+4+2 =17
3+2+6+5+1 =17
3+2+7+1+4 =17
3+2+7+2+3 =17
3+2+7+3+2 =17
3+2+7+4+1 =17
3+2+8+1+3 =17
3+2+8+2+2 =17
3+2+8+3+1 =17
3+2+9+1+2 =17
3+2+9+2+1 =17
3+3+1+1+9 =17
3+3+1+2+8 =17
3+3+1+3+7 =17
3+3+1+4+6 =17
3+3+1+5+5 =17
3+3+1+6+4 =17
3+3+1+7+3 =17
3+3+1+8+2 =17
3+3+1+9+1 =17
3+3+2+1+8 =17
3+3+2+2+7 =17
3+3+2+3+6 =17
3+3+2+4+5 =17
3+3+2+5+4 =17
3+3+2+6+3 =17
3+3+2+7+2 =17
3+3+2+8+1 =17
3+3+3+1+7 =17
3+3+3+2+6 =17
3+3+3+3+5 =17
3+3+3+4+4 =17
3+3+3+5+3 =17
3+3+3+6+2 =17
3+3+3+7+1 =17
3+3+4+1+6 =17
3+3+4+2+5 =17
3+3+4+3+4 =17
3+3+4+4+3 =17
3+3+4+5+2 =17
3+3+4+6+1 =17
3+3+5+1+5 =17
3+3+5+2+4 =17
3+3+5+3+3 =17
3+3+5+4+2 =17
3+3+5+5+1 =17
3+3+6+1+4 =17
3+3+6+2+3 =17
3+3+6+3+2 =17
3+3+6+4+1 =17
3+3+7+1+3 =17
3+3+7+2+2 =17
3+3+7+3+1 =17
3+3+8+1+2 =17
3+3+8+2+1 =17
3+3+9+1+1 =17
3+4+1+1+8 =17
3+4+1+2+7 =17
3+4+1+3+6 =17
3+4+1+4+5 =17
3+4+1+5+4 =17
3+4+1+6+3 =17
3+4+1+7+2 =17
3+4+1+8+1 =17
3+4+2+1+7 =17
3+4+2+2+6 =17
3+4+2+3+5 =17
3+4+2+4+4 =17
3+4+2+5+3 =17
3+4+2+6+2 =17
3+4+2+7+1 =17
3+4+3+1+6 =17
3+4+3+2+5 =17
3+4+3+3+4 =17
3+4+3+4+3 =17
3+4+3+5+2 =17
3+4+3+6+1 =17
3+4+4+1+5 =17
3+4+4+2+4 =17
3+4+4+3+3 =17
3+4+4+4+2 =17
3+4+4+5+1 =17
3+4+5+1+4 =17
3+4+5+2+3 =17
3+4+5+3+2 =17
3+4+5+4+1 =17
3+4+6+1+3 =17
3+4+6+2+2 =17
3+4+6+3+1 =17
3+4+7+1+2 =17
3+4+7+2+1 =17
3+4+8+1+1 =17
3+5+1+1+7 =17
3+5+1+2+6 =17
3+5+1+3+5 =17
3+5+1+4+4 =17
3+5+1+5+3 =17
3+5+1+6+2 =17
3+5+1+7+1 =17
3+5+2+1+6 =17
3+5+2+2+5 =17
3+5+2+3+4 =17
3+5+2+4+3 =17
3+5+2+5+2 =17
3+5+2+6+1 =17
3+5+3+1+5 =17
3+5+3+2+4 =17
3+5+3+3+3 =17
3+5+3+4+2 =17
3+5+3+5+1 =17
3+5+4+1+4 =17
3+5+4+2+3 =17
3+5+4+3+2 =17
3+5+4+4+1 =17
3+5+5+1+3 =17
3+5+5+2+2 =17
3+5+5+3+1 =17
3+5+6+1+2 =17
3+5+6+2+1 =17
3+5+7+1+1 =17
3+6+1+1+6 =17
3+6+1+2+5 =17
3+6+1+3+4 =17
3+6+1+4+3 =17
3+6+1+5+2 =17
3+6+1+6+1 =17
3+6+2+1+5 =17
3+6+2+2+4 =17
3+6+2+3+3 =17
3+6+2+4+2 =17
3+6+2+5+1 =17
3+6+3+1+4 =17
3+6+3+2+3 =17
3+6+3+3+2 =17
3+6+3+4+1 =17
3+6+4+1+3 =17
3+6+4+2+2 =17
3+6+4+3+1 =17
3+6+5+1+2 =17
3+6+5+2+1 =17
3+6+6+1+1 =17
3+7+1+1+5 =17
3+7+1+2+4 =17
3+7+1+3+3 =17
3+7+1+4+2 =17
3+7+1+5+1 =17
3+7+2+1+4 =17
3+7+2+2+3 =17
3+7+2+3+2 =17
3+7+2+4+1 =17
3+7+3+1+3 =17
3+7+3+2+2 =17
3+7+3+3+1 =17
3+7+4+1+2 =17
3+7+4+2+1 =17
3+7+5+1+1 =17
3+8+1+1+4 =17
3+8+1+2+3 =17
3+8+1+3+2 =17
3+8+1+4+1 =17
3+8+2+1+3 =17
3+8+2+2+2 =17
3+8+2+3+1 =17
3+8+3+1+2 =17
3+8+3+2+1 =17
3+8+4+1+1 =17
3+9+1+1+3 =17
3+9+1+2+2 =17
3+9+1+3+1 =17
3+9+2+1+2 =17
3+9+2+2+1 =17
3+9+3+1+1 =17
4+1+1+2+9 =17
4+1+1+3+8 =17
4+1+1+4+7 =17
4+1+1+5+6 =17
4+1+1+6+5 =17
4+1+1+7+4 =17
4+1+1+8+3 =17
4+1+1+9+2 =17
4+1+2+1+9 =17
4+1+2+2+8 =17
4+1+2+3+7 =17
4+1+2+4+6 =17
4+1+2+5+5 =17
4+1+2+6+4 =17
4+1+2+7+3 =17
4+1+2+8+2 =17
4+1+2+9+1 =17
4+1+3+1+8 =17
4+1+3+2+7 =17
4+1+3+3+6 =17
4+1+3+4+5 =17
4+1+3+5+4 =17
4+1+3+6+3 =17
4+1+3+7+2 =17
4+1+3+8+1 =17
4+1+4+1+7 =17
4+1+4+2+6 =17
4+1+4+3+5 =17
4+1+4+4+4 =17
4+1+4+5+3 =17
4+1+4+6+2 =17
4+1+4+7+1 =17
4+1+5+1+6 =17
4+1+5+2+5 =17
4+1+5+3+4 =17
4+1+5+4+3 =17
4+1+5+5+2 =17
4+1+5+6+1 =17
4+1+6+1+5 =17
4+1+6+2+4 =17
4+1+6+3+3 =17
4+1+6+4+2 =17
4+1+6+5+1 =17
4+1+7+1+4 =17
4+1+7+2+3 =17
4+1+7+3+2 =17
4+1+7+4+1 =17
4+1+8+1+3 =17
4+1+8+2+2 =17
4+1+8+3+1 =17
4+1+9+1+2 =17
4+1+9+2+1 =17
4+2+1+1+9 =17
4+2+1+2+8 =17
4+2+1+3+7 =17
4+2+1+4+6 =17
4+2+1+5+5 =17
4+2+1+6+4 =17
4+2+1+7+3 =17
4+2+1+8+2 =17
4+2+1+9+1 =17
4+2+2+1+8 =17
4+2+2+2+7 =17
4+2+2+3+6 =17
4+2+2+4+5 =17
4+2+2+5+4 =17
4+2+2+6+3 =17
4+2+2+7+2 =17
4+2+2+8+1 =17
4+2+3+1+7 =17
4+2+3+2+6 =17
4+2+3+3+5 =17
4+2+3+4+4 =17
4+2+3+5+3 =17
4+2+3+6+2 =17
4+2+3+7+1 =17
4+2+4+1+6 =17
4+2+4+2+5 =17
4+2+4+3+4 =17
4+2+4+4+3 =17
4+2+4+5+2 =17
4+2+4+6+1 =17
4+2+5+1+5 =17
4+2+5+2+4 =17
4+2+5+3+3 =17
4+2+5+4+2 =17
4+2+5+5+1 =17
4+2+6+1+4 =17
4+2+6+2+3 =17
4+2+6+3+2 =17
4+2+6+4+1 =17
4+2+7+1+3 =17
4+2+7+2+2 =17
4+2+7+3+1 =17
4+2+8+1+2 =17
4+2+8+2+1 =17
4+2+9+1+1 =17
4+3+1+1+8 =17
4+3+1+2+7 =17
4+3+1+3+6 =17
4+3+1+4+5 =17
4+3+1+5+4 =17
4+3+1+6+3 =17
4+3+1+7+2 =17
4+3+1+8+1 =17
4+3+2+1+7 =17
4+3+2+2+6 =17
4+3+2+3+5 =17
4+3+2+4+4 =17
4+3+2+5+3 =17
4+3+2+6+2 =17
4+3+2+7+1 =17
4+3+3+1+6 =17
4+3+3+2+5 =17
4+3+3+3+4 =17
4+3+3+4+3 =17
4+3+3+5+2 =17
4+3+3+6+1 =17
4+3+4+1+5 =17
4+3+4+2+4 =17
4+3+4+3+3 =17
4+3+4+4+2 =17
4+3+4+5+1 =17
4+3+5+1+4 =17
4+3+5+2+3 =17
4+3+5+3+2 =17
4+3+5+4+1 =17
4+3+6+1+3 =17
4+3+6+2+2 =17
4+3+6+3+1 =17
4+3+7+1+2 =17
4+3+7+2+1 =17
4+3+8+1+1 =17
4+4+1+1+7 =17
4+4+1+2+6 =17
4+4+1+3+5 =17
4+4+1+4+4 =17
4+4+1+5+3 =17
4+4+1+6+2 =17
4+4+1+7+1 =17
4+4+2+1+6 =17
4+4+2+2+5 =17
4+4+2+3+4 =17
4+4+2+4+3 =17
4+4+2+5+2 =17
4+4+2+6+1 =17
4+4+3+1+5 =17
4+4+3+2+4 =17
4+4+3+3+3 =17
4+4+3+4+2 =17
4+4+3+5+1 =17
4+4+4+1+4 =17
4+4+4+2+3 =17
4+4+4+3+2 =17
4+4+4+4+1 =17
4+4+5+1+3 =17
4+4+5+2+2 =17
4+4+5+3+1 =17
4+4+6+1+2 =17
4+4+6+2+1 =17
4+4+7+1+1 =17
4+5+1+1+6 =17
4+5+1+2+5 =17
4+5+1+3+4 =17
4+5+1+4+3 =17
4+5+1+5+2 =17
4+5+1+6+1 =17
4+5+2+1+5 =17
4+5+2+2+4 =17
4+5+2+3+3 =17
4+5+2+4+2 =17
4+5+2+5+1 =17
4+5+3+1+4 =17
4+5+3+2+3 =17
4+5+3+3+2 =17
4+5+3+4+1 =17
4+5+4+1+3 =17
4+5+4+2+2 =17
4+5+4+3+1 =17
4+5+5+1+2 =17
4+5+5+2+1 =17
4+5+6+1+1 =17
4+6+1+1+5 =17
4+6+1+2+4 =17
4+6+1+3+3 =17
4+6+1+4+2 =17
4+6+1+5+1 =17
4+6+2+1+4 =17
4+6+2+2+3 =17
4+6+2+3+2 =17
4+6+2+4+1 =17
4+6+3+1+3 =17
4+6+3+2+2 =17
4+6+3+3+1 =17
4+6+4+1+2 =17
4+6+4+2+1 =17
4+6+5+1+1 =17
4+7+1+1+4 =17
4+7+1+2+3 =17
4+7+1+3+2 =17
4+7+1+4+1 =17
4+7+2+1+3 =17
4+7+2+2+2 =17
4+7+2+3+1 =17
4+7+3+1+2 =17
4+7+3+2+1 =17
4+7+4+1+1 =17
4+8+1+1+3 =17
4+8+1+2+2 =17
4+8+1+3+1 =17
4+8+2+1+2 =17
4+8+2+2+1 =17
4+8+3+1+1 =17
4+9+1+1+2 =17
4+9+1+2+1 =17
4+9+2+1+1 =17
5+1+1+1+9 =17
5+1+1+2+8 =17
5+1+1+3+7 =17
5+1+1+4+6 =17
5+1+1+5+5 =17
5+1+1+6+4 =17
5+1+1+7+3 =17
5+1+1+8+2 =17
5+1+1+9+1 =17
5+1+2+1+8 =17
5+1+2+2+7 =17
5+1+2+3+6 =17
5+1+2+4+5 =17
5+1+2+5+4 =17
5+1+2+6+3 =17
5+1+2+7+2 =17
5+1+2+8+1 =17
5+1+3+1+7 =17
5+1+3+2+6 =17
5+1+3+3+5 =17
5+1+3+4+4 =17
5+1+3+5+3 =17
5+1+3+6+2 =17
5+1+3+7+1 =17
5+1+4+1+6 =17
5+1+4+2+5 =17
5+1+4+3+4 =17
5+1+4+4+3 =17
5+1+4+5+2 =17
5+1+4+6+1 =17
5+1+5+1+5 =17
5+1+5+2+4 =17
5+1+5+3+3 =17
5+1+5+4+2 =17
5+1+5+5+1 =17
5+1+6+1+4 =17
5+1+6+2+3 =17
5+1+6+3+2 =17
5+1+6+4+1 =17
5+1+7+1+3 =17
5+1+7+2+2 =17
5+1+7+3+1 =17
5+1+8+1+2 =17
5+1+8+2+1 =17
5+1+9+1+1 =17
5+2+1+1+8 =17
5+2+1+2+7 =17
5+2+1+3+6 =17
5+2+1+4+5 =17
5+2+1+5+4 =17
5+2+1+6+3 =17
5+2+1+7+2 =17
5+2+1+8+1 =17
5+2+2+1+7 =17
5+2+2+2+6 =17
5+2+2+3+5 =17
5+2+2+4+4 =17
5+2+2+5+3 =17
5+2+2+6+2 =17
5+2+2+7+1 =17
5+2+3+1+6 =17
5+2+3+2+5 =17
5+2+3+3+4 =17
5+2+3+4+3 =17
5+2+3+5+2 =17
5+2+3+6+1 =17
5+2+4+1+5 =17
5+2+4+2+4 =17
5+2+4+3+3 =17
5+2+4+4+2 =17
5+2+4+5+1 =17
5+2+5+1+4 =17
5+2+5+2+3 =17
5+2+5+3+2 =17
5+2+5+4+1 =17
5+2+6+1+3 =17
5+2+6+2+2 =17
5+2+6+3+1 =17
5+2+7+1+2 =17
5+2+7+2+1 =17
5+2+8+1+1 =17
5+3+1+1+7 =17
5+3+1+2+6 =17
5+3+1+3+5 =17
5+3+1+4+4 =17
5+3+1+5+3 =17
5+3+1+6+2 =17
5+3+1+7+1 =17
5+3+2+1+6 =17
5+3+2+2+5 =17
5+3+2+3+4 =17
5+3+2+4+3 =17
5+3+2+5+2 =17
5+3+2+6+1 =17
5+3+3+1+5 =17
5+3+3+2+4 =17
5+3+3+3+3 =17
5+3+3+4+2 =17
5+3+3+5+1 =17
5+3+4+1+4 =17
5+3+4+2+3 =17
5+3+4+3+2 =17
5+3+4+4+1 =17
5+3+5+1+3 =17
5+3+5+2+2 =17
5+3+5+3+1 =17
5+3+6+1+2 =17
5+3+6+2+1 =17
5+3+7+1+1 =17
5+4+1+1+6 =17
5+4+1+2+5 =17
5+4+1+3+4 =17
5+4+1+4+3 =17
5+4+1+5+2 =17
5+4+1+6+1 =17
5+4+2+1+5 =17
5+4+2+2+4 =17
5+4+2+3+3 =17
5+4+2+4+2 =17
5+4+2+5+1 =17
5+4+3+1+4 =17
5+4+3+2+3 =17
5+4+3+3+2 =17
5+4+3+4+1 =17
5+4+4+1+3 =17
5+4+4+2+2 =17
5+4+4+3+1 =17
5+4+5+1+2 =17
5+4+5+2+1 =17
5+4+6+1+1 =17
5+5+1+1+5 =17
5+5+1+2+4 =17
5+5+1+3+3 =17
5+5+1+4+2 =17
5+5+1+5+1 =17
5+5+2+1+4 =17
5+5+2+2+3 =17
5+5+2+3+2 =17
5+5+2+4+1 =17
5+5+3+1+3 =17
5+5+3+2+2 =17
5+5+3+3+1 =17
5+5+4+1+2 =17
5+5+4+2+1 =17
5+5+5+1+1 =17
5+6+1+1+4 =17
5+6+1+2+3 =17
5+6+1+3+2 =17
5+6+1+4+1 =17
5+6+2+1+3 =17
5+6+2+2+2 =17
5+6+2+3+1 =17
5+6+3+1+2 =17
5+6+3+2+1 =17
5+6+4+1+1 =17
5+7+1+1+3 =17
5+7+1+2+2 =17
5+7+1+3+1 =17
5+7+2+1+2 =17
5+7+2+2+1 =17
5+7+3+1+1 =17
5+8+1+1+2 =17
5+8+1+2+1 =17
5+8+2+1+1 =17
5+9+1+1+1 =17
6+1+1+1+8 =17
6+1+1+2+7 =17
6+1+1+3+6 =17
6+1+1+4+5 =17
6+1+1+5+4 =17
6+1+1+6+3 =17
6+1+1+7+2 =17
6+1+1+8+1 =17
6+1+2+1+7 =17
6+1+2+2+6 =17
6+1+2+3+5 =17
6+1+2+4+4 =17
6+1+2+5+3 =17
6+1+2+6+2 =17
6+1+2+7+1 =17
6+1+3+1+6 =17
6+1+3+2+5 =17
6+1+3+3+4 =17
6+1+3+4+3 =17
6+1+3+5+2 =17
6+1+3+6+1 =17
6+1+4+1+5 =17
6+1+4+2+4 =17
6+1+4+3+3 =17
6+1+4+4+2 =17
6+1+4+5+1 =17
6+1+5+1+4 =17
6+1+5+2+3 =17
6+1+5+3+2 =17
6+1+5+4+1 =17
6+1+6+1+3 =17
6+1+6+2+2 =17
6+1+6+3+1 =17
6+1+7+1+2 =17
6+1+7+2+1 =17
6+1+8+1+1 =17
6+2+1+1+7 =17
6+2+1+2+6 =17
6+2+1+3+5 =17
6+2+1+4+4 =17
6+2+1+5+3 =17
6+2+1+6+2 =17
6+2+1+7+1 =17
6+2+2+1+6 =17
6+2+2+2+5 =17
6+2+2+3+4 =17
6+2+2+4+3 =17
6+2+2+5+2 =17
6+2+2+6+1 =17
6+2+3+1+5 =17
6+2+3+2+4 =17
6+2+3+3+3 =17
6+2+3+4+2 =17
6+2+3+5+1 =17
6+2+4+1+4 =17
6+2+4+2+3 =17
6+2+4+3+2 =17
6+2+4+4+1 =17
6+2+5+1+3 =17
6+2+5+2+2 =17
6+2+5+3+1 =17
6+2+6+1+2 =17
6+2+6+2+1 =17
6+2+7+1+1 =17
6+3+1+1+6 =17
6+3+1+2+5 =17
6+3+1+3+4 =17
6+3+1+4+3 =17
6+3+1+5+2 =17
6+3+1+6+1 =17
6+3+2+1+5 =17
6+3+2+2+4 =17
6+3+2+3+3 =17
6+3+2+4+2 =17
6+3+2+5+1 =17
6+3+3+1+4 =17
6+3+3+2+3 =17
6+3+3+3+2 =17
6+3+3+4+1 =17
6+3+4+1+3 =17
6+3+4+2+2 =17
6+3+4+3+1 =17
6+3+5+1+2 =17
6+3+5+2+1 =17
6+3+6+1+1 =17
6+4+1+1+5 =17
6+4+1+2+4 =17
6+4+1+3+3 =17
6+4+1+4+2 =17
6+4+1+5+1 =17
6+4+2+1+4 =17
6+4+2+2+3 =17
6+4+2+3+2 =17
6+4+2+4+1 =17
6+4+3+1+3 =17
6+4+3+2+2 =17
6+4+3+3+1 =17
6+4+4+1+2 =17
6+4+4+2+1 =17
6+4+5+1+1 =17
6+5+1+1+4 =17
6+5+1+2+3 =17
6+5+1+3+2 =17
6+5+1+4+1 =17
6+5+2+1+3 =17
6+5+2+2+2 =17
6+5+2+3+1 =17
6+5+3+1+2 =17
6+5+3+2+1 =17
6+5+4+1+1 =17
6+6+1+1+3 =17
6+6+1+2+2 =17
6+6+1+3+1 =17
6+6+2+1+2 =17
6+6+2+2+1 =17
6+6+3+1+1 =17
6+7+1+1+2 =17
6+7+1+2+1 =17
6+7+2+1+1 =17
6+8+1+1+1 =17
7+1+1+1+7 =17
7+1+1+2+6 =17
7+1+1+3+5 =17
7+1+1+4+4 =17
7+1+1+5+3 =17
7+1+1+6+2 =17
7+1+1+7+1 =17
7+1+2+1+6 =17
7+1+2+2+5 =17
7+1+2+3+4 =17
7+1+2+4+3 =17
7+1+2+5+2 =17
7+1+2+6+1 =17
7+1+3+1+5 =17
7+1+3+2+4 =17
7+1+3+3+3 =17
7+1+3+4+2 =17
7+1+3+5+1 =17
7+1+4+1+4 =17
7+1+4+2+3 =17
7+1+4+3+2 =17
7+1+4+4+1 =17
7+1+5+1+3 =17
7+1+5+2+2 =17
7+1+5+3+1 =17
7+1+6+1+2 =17
7+1+6+2+1 =17
7+1+7+1+1 =17
7+2+1+1+6 =17
7+2+1+2+5 =17
7+2+1+3+4 =17
7+2+1+4+3 =17
7+2+1+5+2 =17
7+2+1+6+1 =17
7+2+2+1+5 =17
7+2+2+2+4 =17
7+2+2+3+3 =17
7+2+2+4+2 =17
7+2+2+5+1 =17
7+2+3+1+4 =17
7+2+3+2+3 =17
7+2+3+3+2 =17
7+2+3+4+1 =17
7+2+4+1+3 =17
7+2+4+2+2 =17
7+2+4+3+1 =17
7+2+5+1+2 =17
7+2+5+2+1 =17
7+2+6+1+1 =17
7+3+1+1+5 =17
7+3+1+2+4 =17
7+3+1+3+3 =17
7+3+1+4+2 =17
7+3+1+5+1 =17
7+3+2+1+4 =17
7+3+2+2+3 =17
7+3+2+3+2 =17
7+3+2+4+1 =17
7+3+3+1+3 =17
7+3+3+2+2 =17
7+3+3+3+1 =17
7+3+4+1+2 =17
7+3+4+2+1 =17
7+3+5+1+1 =17
7+4+1+1+4 =17
7+4+1+2+3 =17
7+4+1+3+2 =17
7+4+1+4+1 =17
7+4+2+1+3 =17
7+4+2+2+2 =17
7+4+2+3+1 =17
7+4+3+1+2 =17
7+4+3+2+1 =17
7+4+4+1+1 =17
7+5+1+1+3 =17
7+5+1+2+2 =17
7+5+1+3+1 =17
7+5+2+1+2 =17
7+5+2+2+1 =17
7+5+3+1+1 =17
7+6+1+1+2 =17
7+6+1+2+1 =17
7+6+2+1+1 =17
7+7+1+1+1 =17
8+1+1+1+6 =17
8+1+1+2+5 =17
8+1+1+3+4 =17
8+1+1+4+3 =17
8+1+1+5+2 =17
8+1+1+6+1 =17
8+1+2+1+5 =17
8+1+2+2+4 =17
8+1+2+3+3 =17
8+1+2+4+2 =17
8+1+2+5+1 =17
8+1+3+1+4 =17
8+1+3+2+3 =17
8+1+3+3+2 =17
8+1+3+4+1 =17
8+1+4+1+3 =17
8+1+4+2+2 =17
8+1+4+3+1 =17
8+1+5+1+2 =17
8+1+5+2+1 =17
8+1+6+1+1 =17
8+2+1+1+5 =17
8+2+1+2+4 =17
8+2+1+3+3 =17
8+2+1+4+2 =17
8+2+1+5+1 =17
8+2+2+1+4 =17
8+2+2+2+3 =17
8+2+2+3+2 =17
8+2+2+4+1 =17
8+2+3+1+3 =17
8+2+3+2+2 =17
8+2+3+3+1 =17
8+2+4+1+2 =17
8+2+4+2+1 =17
8+2+5+1+1 =17
8+3+1+1+4 =17
8+3+1+2+3 =17
8+3+1+3+2 =17
8+3+1+4+1 =17
8+3+2+1+3 =17
8+3+2+2+2 =17
8+3+2+3+1 =17
8+3+3+1+2 =17
8+3+3+2+1 =17
8+3+4+1+1 =17
8+4+1+1+3 =17
8+4+1+2+2 =17
8+4+1+3+1 =17
8+4+2+1+2 =17
8+4+2+2+1 =17
8+4+3+1+1 =17
8+5+1+1+2 =17
8+5+1+2+1 =17
8+5+2+1+1 =17
8+6+1+1+1 =17
9+1+1+1+5 =17
9+1+1+2+4 =17
9+1+1+3+3 =17
9+1+1+4+2 =17
9+1+1+5+1 =17
9+1+2+1+4 =17
9+1+2+2+3 =17
9+1+2+3+2 =17
9+1+2+4+1 =17
9+1+3+1+3 =17
9+1+3+2+2 =17
9+1+3+3+1 =17
9+1+4+1+2 =17
9+1+4+2+1 =17
9+1+5+1+1 =17
9+2+1+1+4 =17
9+2+1+2+3 =17
9+2+1+3+2 =17
9+2+1+4+1 =17
9+2+2+1+3 =17
9+2+2+2+2 =17
9+2+2+3+1 =17
9+2+3+1+2 =17
9+2+3+2+1 =17
9+2+4+1+1 =17
9+3+1+1+3 =17
9+3+1+2+2 =17
9+3+1+3+1 =17
9+3+2+1+2 =17
9+3+2+2+1 =17
9+3+3+1+1 =17
9+4+1+1+2 =17
9+4+1+2+1 =17
9+4+2+1+1 =17
9+5+1+1+1 =17