What's your favorite food - pizza or broccoli?
What's your favorite hobby - dancing or reading? Do you love recess or story time more? We all have different tastes and interests that make us one-of-a-kind! This is because we each have a unique set of values.
Values are what matter most to you deep down inside - kind of like your very favorite hobbies and activities. Your values are like your favorite hobbies - some kids love to draw, others enjoy playing sports. Values shape how you see the world. They guide your thoughts, feelings, and actions.
People sometimes describe values by colors. The color shows what traits and motives someone finds most important. Dark red values love adventure. Blue values follow the rules. Orange values achieve goals. We each blend a mix of color values in our own way.
Many tests try to reveal a person's color values. One is the SDTEST®. It uses questions to uncover the values that drive our choices and priorities. Let's learn how it works!
The SDTEST®
The SDTEST® asks people to rate 5 statements about values and motivations. There are a few options to choose from for each statement. Pick the ending that best matches your values. There are no right or wrong answers! This is what the interface looks like, try selecting options.
After finishing all 5 statements, your choices are scored. The score shows your motivational values based on colors like red, blue, orange, green and others. The SDTEST® shows your color values, kind of like figuring out your interests and favorite activities.
Your color values are like an artist's palette. They blend together in your own unique way! The SDTEST® helps uncover the color mix that drives your thoughts and actions.
Lots of Combinations
With five statements and multiple choices per statement, people can answer the SDTEST® in many ways!
It's like mixing paint colors. Take just three colors - red, yellow, and blue. You can blend them into so many shades! Add more colors, and the possibilities are endless.
Or think about building with blocks. With just a few different shaped blocks, you can build so many things! More blocks mean more options.
The SDTEST® has over 7,000 possible unique combinations of responses. That's like 7,000 unique color mixes for someone's motivational values!
It's more even than flavors at an ice cream shop. More than types of doughnuts at a bakery!
With so many options, everyone has unique color values, like how all kids have their own favorite hobbies and activities they love.
It's like snowflakes - each one is unique and special. We each have a one-of-a-kind motivational mix that makes us who we are!
Most People Fit in Common Groups
With so many possible ways to answer the SDTEST®, you'd think everyone would have unique color mixes.
However, we were surprised that most people fit into just 7942 common groups. That's like most snowflakes having one of a few basic shapes, even though each is unique.
Out of over 85434 results from 171 countries, results clustered into these 7942 unique motivational patterns.
Most people blend their color values into a few primary shades rather than super-rare mixes. It's like a rainbow with a few major color bands.
This means the SDTEST® reveals core values shared by many people across cultures. Most of us blend main color motivations in familiar ways. Our values aren't as different as they seem!
Values Can Change
Do you still love all the same toys, foods, and activities you did as a toddler? People grow and change, and so can values.
Think back to your first day of school. It seemed so big and scary! Now your school feels familiar. Your values shifted.
When life changes, our color values can change, too. A new experience might make you see the world differently.
For example, a new sibling could make the family more important. Moving schools could shift your focus to making friends. Values adapt as we learn and grow. Just like you might be into trains now but dolls when you were little, what motivates you can change as you grow.
The SDTEST® shows your motivational colors today. But don't expect them to stay the same forever! Like your height or shoe size, values change as you do.
The test gives clues about who you are and what's important. But in the future, you may have an expanded color palette!
Rare Heights
Is there a top level of motivational values and colors? Some think there is an ultimate rainbow color called Turquoise.
Turquoise values seek a global vision, deep purpose, synthesis, and harmony with nature. Only 1 in 85434 results scored high 40% in Turquoise on the SDTEST®!
Reaching the peak is like climbing a tall mountain. Very few make it to the top. Those who do often can't stay there long.
For instance, the user who took the test 3 times shows how unstable Turquoise is.
First, in 2018, the user couldn't score 40% Turquoise.
Second, in 2018, the user scored 40% Turquoise.
But later, after five years in 2023, the user couldn't repeat that rare result.
Turquoise is the pinnacle few attain. Most of us blend more common color values as we climb life's path. Our journey brings growth, even if we can't reach the highest peak.
Connections with Other Polls and Tests
The SDTEST® gives clues to someone's motivational values. However, additional polls can provide more pieces of the puzzle.
Imagine also giving a "Fears" poll. It asks people to rate different fears from 0 (not scary) to 5 (very scary).
Now imagine 100 people who took both tests. You could match up each person's SDTEST® colors with their rated fears.
If people high in Blue values feared uncertainty more, that insight ties values to perceptions. Blue people may resist change more.
Or if Orange achievers feared failure most, that reveals their drive. They may overwork to avoid mistakes.
Comparing tests gives an expanded picture of values in action. More puzzle pieces make the whole image more apparent!
Multiple tests can work together, like colors blending on a palette. Other polls reveal what engages your values, like how your hobbies show what activities you enjoy most. Combined, they paint a richer picture of what motivates our thoughts and deeds.
Here is an expanded simple example of correlating the SDTEST® with another assessment:
Let's say 100 students take two tests - the SDTEST® and a "Favorite Subjects" poll.
The SDTEST® shows their motivational color values.
The "Favorite Subjects" poll asks them to rank school subjects from 1 (like least) to 5 (like most).
By matching up each student's results on both tests, we can look for patterns.
Students high in playful Yellow values may rank Arts & Crafts higher.
Students high in logical Orange values may rank Math higher.
Seeing these connections between color values and subject preferences gives deeper insights.
The SDTEST® shows values. The other poll shows what engages those values. Together, they reveal more about what motivates students.
Multiple tests create a fuller portrait, like mixing colors on an artist's palette. Combining assessments makes the picture richer!
Conclusion
The SDTEST® is a simple and fun way to uncover our unique motivational values. It mixes life priorities like colors on a palette to paint a picture of what matters most to us.
While most people blend common color value patterns, each result is one-of-a-kind. Our values make us who we are, but we also grow and adapt as life changes.
Very few ever reach the highest Turquoise level of motivational development, just like few can climb to the peak of a tall mountain.
But the journey brings growth, even if the top remains distant. The SDTEST® helps us better understand ourselves and others on this lifelong path of self-discovery.
Here are reports of polls which SDTEST® makes:
1) Actions of companies in relation to personnel in the last month (yes / no)
2) Actions of companies in relation to personnel in the last month (fact in %)
3) Fears
4) Biggest problems facing my country
5) What qualities and abilities do good leaders use when building successful teams?
6) Google. Factors that impact team effectiveness
7) The main priorities of job seekers
8) What makes a boss a great leader?
9) What makes people successful at work?
10) Are you ready to receive less pay to work remotely?
11) Does ageism exist?
12) Ageism in career
13) Ageism in life
14) Ageism's causes
15) Reasons why people give up (by Anna Vital)
16) TRUST (by WVS)
17) Oxford Happiness Survey
18) Psychological Wellbeing (by Carol D. Ryff)
19) Where would be your next most exciting opportunity?
20) What will you do this week to look after your mental health?
21) I live thinking about my past, present or future
22) Meritocracy
23) A.I. and the end of civilization
24) Why do people procrastinate?
25) Gender difference in building self-confidence (IFD Allensbach)
26) Xing.com culture assessment
27) Patrick Lencioni's "The Five Dysfunctions of a Team"
28) Empathy is...
29) What is essential for IT specialists in choosing a job offer?
30) Why People Resist Change (by Siobhán McHale)
31) How Do You Regulate Your Emotions? (by Nawal Mustafa M.A.)
32) 21 skills that pay you forever (by Jeremiah Teo / 赵汉昇)
33) Real freedom is ...
34) 12 ways to build trust with others (by Justin Wright)
35) Characteristics of a talented employee (by Talent Management Institute)
36) 10 Keys to Motivating Your Team
37) Algebra of Conscience (by Vladimir Lefebvre)
38) Three Distinct Possibilities of the Future (by Dr. Clare W. Graves)
39) Actions to Build Unshakable Self-Trust (by Suren Samarchyan)
40) Rating of Top and Anti-top companies according to the IT community of Kazakhstan
Below you can read an abridged version of the results of our VUCA poll “Fears“. The full version of the results is available for free in the FAQ section after login or registration.
Fears
All questions
My greatest fears are
My greatest fears are
Answer 1
11%
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0
5
4
5
5
5
5
0
5
0
2
0
0
5
4
2
5
4
3
0
1
0
1
3
0
4
5
5
3
0
0
5
3
4
5
4
3
5
3
5
5
5
5
4
2
4
0
5
5
3
3
0
0
0
2
0
4
5
3
5
3
4
2
0
5
5
0
2
5
5
3
1
5
2
5
3
5
3
5
1
5
3
5
5
5
5
3
0
0
4
5
3
4
0
5
2
2
2
3
5
5
3
1
3
3
0
5
3
0
5
1
3
0
5
5
5
5
5
5
5
5
4
5
2
4
2
0
5
3
2
3
5
0
5
0
4
3
2
3
3
4
4
5
0
5
5
0
0
5
4
3
1
5
0
2
3
0
1
3
0
4
5
4
1
5
1
0
3
0
2
3
5
4
0
4
5
0
4
2
3
2
3
3
5
5
0
0
5
4
4
5
2
4
3
4
5
1
3
4
3
5
2
5
1
5
5
0
5
0
2
0
5
4
0
0
0
3
5
5
5
0
1
5
5
5
5
2
5
3
0
5
4
0
3
4
5
3
5
5
5
5
3
3
5
3
4
3
4
2
5
4
5
5
0
5
2
4
0
3
0
4
1
5
5
4
5
3
5
0
4
5
0
0
3
5
0
4
1
4
0
0
3
0
0
4
5
1
5
5
5
5
5
3
5
5
5
5
3
2
5
0
1
3
5
3
3
2
1
1
2
5
5
5
0
2
3
4
4
0
5
1
3
3
5
4
3
5
3
0
3
4
0
3
4
4
4
1
5
3
3
5
0
5
5
5
4
2
3
5
4
1
0
3
2
5
5
5
5
3
1
4
2
5
4
0
5
3
5
3
3
4
5
5
4
0
2
5
5
5
5
4
5
5
5
3
3
1
4
5
5
0
1
3
5
1
3
0
5
3
2
0
0
4
2
0
5
5
3
1
5
5
5
5
3
3
3
2
0
3
5
5
1
5
0
4
4
0
5
5
1
4
2
5
5
0
4
4
5
3
2
2
0
1
4
5
5
3
0
5
2
2
5
1
5
5
5
3
3
3
3
3
2
3
0
3
3
5
2
3
4
3
1
0
4
4
0
3
3
5
0
0
5
3
0
5
2
5
5
5
0
5
4
1
2
3
0
0
2
4
0
4
3
1
3
5
3
3
0
5
4
0
1
5
5
5
5
5
3
4
5
5
5
0
5
4
5
3
5
5
4
2
5
3
2
0
2
5
3
5
5
2
5
0
5
4
4
3
1
4
2
4
0
5
5
3
3
5
2
5
0
5
3
5
5
2
1
5
3
4
5
5
4
1
5
4
5
5
2
3
5
4
3
2
5
4
3
3
5
5
4
1
4
5
3
5
3
4
5
5
5
5
0
3
5
4
3
5
5
0
4
5
4
5
5
3
1
3
0
1
5
2
5
3
0
1
4
0
5
5
4
3
5
2
4
3
5
5
5
5
5
3
1
4
0
0
0
2
0
3
5
3
3
5
5
3
3
2
5
1
4
5
2
4
5
5
0
5
3
1
3
5
1
5
4
4
5
5
3
5
2
5
5
3
4
1
2
3
3
5
4
5
5
0
0
5
5
3
0
5
4
4
2
1
4
4
4
5
5
5
5
5
3
3
5
5
5
0
0
1
3
5
5
0
4
1
5
4
0
5
3
1
0
0
2
2
5
5
3
3
5
5
5
5
5
3
0
3
4
5
5
5
5
4
5
0
4
4
0
5
5
3
0
1
5
2
0
4
1
4
2
2
3
4
5
3
5
0
0
2
3
4
0
3
1
0
3
5
5
5
0
5
5
4
3
3
5
2
5
0
5
5
0
1
5
5
5
4
5
4
1
5
4
3
2
0
4
4
0
3
3
5
1
0
3
5
5
0
0
4
5
0
5
3
0
0
1
5
5
0
3
0
5
3
2
0
5
5
5
5
3
3
4
5
4
3
1
5
0
5
5
0
5
5
0
3
5
5
5
1
0
3
5
5
4
5
5
0
0
2
5
3
3
1
2
0
5
5
0
3
3
3
5
4
0
3
3
5
5
5
3
5
5
0
0
1
4
1
5
5
5
4
5
3
2
3
5
0
4
5
3
4
0
0
5
0
5
1
4
3
3
4
5
5
5
3
3
5
3
5
5
0
4
0
3
2
0
4
4
2
5
0
3
5
5
5
3
0
5
0
5
5
0
3
0
5
1
5
0
5
4
1
5
5
2
0
2
0
1
2
4
4
0
0
5
5
1
2
3
5
0
3
5
0
3
3
5
5
5
5
4
4
5
5
3
2
5
4
0
5
0
5
0
3
0
5
4
1
5
0
5
5
4
1
5
5
4
5
4
4
1
1
0
5
4
5
5
5
4
3
5
5
0
0
4
3
5
5
2
5
3
1
5
5
0
3
0
0
5
1
4
5
5
4
5
5
5
3
3
5
0
2
1
3
4
5
5
5
1
4
2
5
1
0
0
5
5
5
4
4
5
5
5
2
5
5
0
1
4
0
3
0
2
0
0
4
2
3
1
5
2
0
4
0
4
0
5
2
4
2
5
4
0
5
5
3
5
0
0
5
0
5
3
0
5
5
5
3
0
4
5
5
5
0
5
5
1
5
5
5
2
3
3
2
5
5
5
2
5
2
4
0
3
5
5
0
5
2
5
5
5
5
5
2
4
5
4
2
5
5
5
5
5
4
3
0
5
5
5
5
5
2
3
3
3
3
5
0
5
3
0
3
3
4
5
5
5
0
4
0
5
5
5
5
4
4
0
4
5
4
0
2
0
5
4
0
4
0
5
4
5
0
4
5
3
2
0
5
1
4
1
4
5
4
4
2
4
2
2
4
0
2
0
0
4
5
2
0
3
5
2
5
4
1
0
3
5
3
5
3
3
5
2
0
5
0
3
0
2
5
0
4
4
2
1
0
2
3
1
4
5
2
4
2
1
5
5
0
3
5
3
5
1
3
3
5
5
0
5
3
4
1
0
1
4
4
4
2
4
0
4
5
5
3
5
0
0
0
5
5
2
4
5
3
5
5
0
0
5
3
2
5
2
3
5
5
4
3
4
0
4
0
5
4
1
3
4
5
3
5
3
0
4
5
3
0
0
3
5
3
3
4
0
1
3
5
2
0
4
5
4
3
5
0
0
5
4
2
3
5
1
1
0
0
4
3
2
0
5
0
5
3
4
2
2
5
4
5
3
4
5
3
3
5
5
3
0
5
1
1
2
2
1
0
5
4
2
5
0
0
5
2
3
5
4
3
4
5
0
3
3
3
5
5
4
5
5
5
1
5
1
5
2
1
3
5
5
0
2
5
5
3
0
5
0
0
0
5
0
5
0
4
5
5
5
5
5
0
2
3
1
4
0
3
5
5
1
4
0
3
0
4
5
0
3
5
5
4
3
2
4
1
4
2
2
4
0
5
4
1
4
3
5
1
5
5
5
3
5
3
5
4
5
0
5
5
5
3
5
5
3
4
5
4
5
1
3
4
5
1
4
5
3
5
0
5
1
5
5
4
0
4
5
3
0
5
4
5
5
0
5
3
4
2
5
5
3
0
5
5
5
5
5
4
5
5
1
5
0
2
4
0
5
5
5
3
3
4
5
1
2
5
4
3
3
5
5
0
5
0
5
4
4
5
3
1
4
0
5
3
5
5
4
5
0
0
5
3
5
5
3
1
5
0
5
0
4
5
4
1
1
5
5
2
5
3
3
5
5
2
0
0
5
2
2
0
4
5
5
4
4
2
5
5
0
0
4
5
4
5
5
3
4
5
0
2
0
0
5
5
0
5
0
0
4
5
0
3
4
0
4
5
5
5
4
4
4
1
1
4
4
3
2
5
5
4
5
0
5
4
3
5
5
3
5
5
3
3
0
4
5
4
1
5
5
1
3
1
0
3
3
4
5
0
4
5
1
1
5
0
5
0
5
5
5
5
1
5
5
5
0
5
5
2
5
4
5
2
3
5
0
5
5
5
4
0
4
0
5
1
3
5
5
5
2
4
5
4
0
5
5
2
5
5
3
4
5
0
1
3
3
1
5
5
0
0
Answer 2
8%
0
0
5
0
5
4
3
2
1
0
3
5
0
5
4
5
0
1
4
5
3
0
1
3
0
2
5
5
3
5
0
1
0
3
4
3
2
0
5
5
5
0
3
3
1
4
0
4
1
0
0
0
2
5
2
5
2
4
5
5
0
5
5
1
4
5
5
0
1
0
4
5
4
5
0
5
2
0
4
3
3
3
5
3
4
4
3
4
4
5
5
0
3
0
0
4
2
0
3
5
3
1
1
0
5
4
0
5
5
4
0
0
5
4
4
2
0
0
4
5
4
2
1
0
3
3
3
1
2
1
0
2
4
0
2
0
0
0
2
3
2
5
2
0
1
5
0
4
0
0
2
4
5
4
5
4
3
0
0
5
1
0
5
1
3
2
1
0
3
0
2
5
0
0
2
0
4
5
0
1
5
3
0
5
1
5
2
0
0
0
5
5
0
1
1
5
1
3
2
3
1
1
4
4
5
4
1
0
3
0
1
2
4
2
5
5
0
0
0
0
0
0
0
2
1
3
3
0
0
0
4
1
3
0
3
1
1
5
1
0
5
3
5
0
5
3
5
5
3
3
0
0
0
5
0
0
0
5
0
0
0
0
1
5
5
3
0
1
5
1
2
5
2
0
4
5
2
4
0
0
5
2
3
2
0
5
3
0
2
0
0
3
0
5
0
4
4
3
4
0
2
5
4
3
5
1
0
0
5
2
0
4
2
1
5
0
0
3
1
3
0
1
3
1
0
2
3
4
0
0
5
5
0
4
3
3
3
2
3
5
5
1
2
1
0
5
5
3
0
4
0
5
1
3
5
3
3
2
5
5
3
4
3
5
1
5
5
3
2
5
4
3
0
0
5
0
5
0
4
2
1
5
0
0
1
5
0
0
5
1
1
1
2
5
3
0
2
2
1
1
5
3
0
5
1
0
3
0
1
2
0
1
2
0
2
1
3
2
0
1
4
0
5
3
4
0
0
4
4
5
0
3
2
1
4
0
5
5
3
1
3
3
5
2
0
5
5
2
1
0
0
3
5
0
5
5
2
4
0
2
0
2
2
3
0
1
3
4
1
2
0
2
0
3
2
0
0
2
3
0
0
5
0
2
4
5
5
4
4
2
3
2
0
1
0
0
3
1
0
2
3
0
5
5
1
0
5
1
2
3
0
2
5
5
2
0
4
3
4
5
5
0
0
5
0
4
2
3
4
4
2
0
0
0
3
3
5
4
0
5
4
5
3
3
3
1
4
1
4
1
0
0
0
4
4
2
5
1
2
5
5
0
5
0
0
5
0
5
5
0
1
0
5
3
0
0
5
0
1
4
4
0
0
0
0
0
0
5
5
0
0
5
3
1
2
5
0
1
4
5
0
5
2
1
4
5
2
5
5
5
5
0
3
5
5
5
1
2
1
5
4
5
3
1
5
3
2
1
5
1
0
0
5
4
2
0
1
1
0
0
3
0
2
0
2
3
0
3
5
2
1
1
3
3
2
5
3
4
3
4
3
1
0
4
3
2
5
0
1
5
1
2
4
1
4
2
0
2
4
2
2
0
2
4
2
1
3
5
3
4
1
1
3
3
4
3
5
0
1
3
3
0
4
2
2
5
0
3
4
5
4
1
1
5
0
3
2
5
1
2
5
5
0
3
4
5
3
2
1
4
3
3
0
1
4
0
4
0
3
0
3
3
1
4
4
5
0
1
5
5
3
5
4
0
5
1
2
0
1
5
5
5
4
1
0
0
1
5
1
0
5
2
5
1
5
3
2
3
0
5
2
2
1
3
4
0
0
3
0
3
1
1
5
0
2
4
0
0
0
4
2
1
5
2
5
1
4
5
0
4
0
0
1
4
1
0
0
5
0
5
2
4
0
1
3
1
1
3
4
0
1
4
4
4
5
2
0
0
1
0
3
4
5
0
5
2
5
0
0
1
4
5
5
4
5
3
5
0
5
0
3
0
0
4
3
5
5
0
3
3
3
4
0
2
2
5
5
5
3
3
0
3
5
4
0
5
0
0
4
5
3
5
2
1
2
3
4
5
5
3
0
5
5
5
5
0
3
4
1
2
0
1
5
0
2
5
1
2
2
2
3
4
0
0
2
4
0
5
2
3
3
5
0
3
4
0
1
3
0
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4
0
4
3
5
4
0
5
1
0
3
0
3
0
5
1
3
4
4
2
4
0
0
0
0
0
3
3
5
4
3
3
1
0
5
4
1
4
5
3
0
0
Answer 3
7%
3
0
0
0
0
0
3
3
1
0
3
0
5
5
5
1
1
0
2
3
3
5
0
1
0
5
3
0
5
0
0
0
0
0
3
2
0
4
3
2
5
0
1
4
1
1
1
4
2
0
0
0
2
2
3
4
5
4
5
5
0
5
0
0
2
0
5
0
0
0
0
0
2
0
0
3
4
1
2
2
2
0
4
0
3
3
0
3
3
1
0
3
3
2
2
0
2
0
4
4
3
2
1
0
4
0
4
3
3
0
0
3
3
2
0
3
0
0
5
4
5
3
0
0
2
5
3
1
2
1
0
0
2
1
2
0
3
0
1
0
2
5
3
0
0
0
0
3
3
0
5
4
2
5
4
5
4
2
0
0
2
4
0
2
1
3
0
0
2
0
3
5
0
0
4
0
2
2
0
1
5
3
5
5
0
2
1
0
0
3
1
4
0
2
3
2
0
1
3
2
3
0
0
4
4
0
2
0
2
0
1
1
2
3
3
4
5
0
4
1
0
0
0
2
3
3
3
0
2
0
5
2
2
1
0
0
1
1
0
0
3
1
5
3
2
5
0
5
4
0
0
0
2
4
0
0
4
5
2
1
0
0
1
0
0
0
0
2
0
2
1
5
1
0
1
4
1
3
0
2
3
3
2
4
0
0
0
0
1
5
0
5
5
4
0
2
2
0
3
0
0
4
3
3
5
3
2
0
4
4
0
1
0
0
5
0
2
2
1
0
0
1
5
0
0
4
0
2
0
3
5
5
3
4
0
2
0
5
4
3
2
3
4
1
3
3
3
1
0
1
0
3
1
3
5
0
2
3
2
5
5
3
2
5
4
3
1
0
1
4
2
0
0
0
5
2
4
0
3
2
1
4
0
4
1
1
0
0
5
2
1
4
4
5
4
1
2
2
5
4
3
4
0
2
0
0
3
0
4
2
2
2
0
0
3
1
1
1
0
1
5
0
3
1
1
0
0
0
5
5
1
2
1
5
0
0
3
0
0
0
3
0
4
2
1
3
0
1
0
0
0
4
4
0
5
2
0
4
1
1
5
2
5
3
0
1
0
4
3
5
0
3
0
1
0
5
0
3
0
0
5
5
0
3
3
5
0
0
1
0
0
1
0
1
3
0
0
1
2
0
5
5
2
2
5
0
3
4
3
4
2
2
4
5
1
0
0
3
5
1
0
0
3
5
3
3
5
5
3
3
3
0
0
5
0
0
4
0
0
5
4
3
1
0
3
0
3
3
0
5
0
0
0
1
3
2
3
3
3
5
3
0
3
0
5
5
5
0
4
0
2
0
0
0
0
0
4
4
1
5
0
0
3
2
0
0
0
5
2
0
3
4
3
0
2
4
4
0
3
0
0
5
4
1
0
1
3
3
1
3
4
0
3
3
1
2
0
1
1
5
3
5
4
2
5
3
4
3
0
1
0
4
2
4
2
0
0
3
0
0
0
1
0
0
3
0
2
3
0
0
3
1
0
0
3
0
0
3
3
2
0
0
0
0
3
1
2
0
1
5
1
1
5
0
3
1
0
2
0
3
0
0
0
2
0
1
2
2
0
1
1
3
3
5
4
0
0
0
0
2
5
3
4
5
1
4
0
2
0
0
3
0
3
1
0
0
2
4
1
1
4
2
5
0
4
3
4
3
1
0
2
3
0
0
2
0
0
0
5
0
3
0
1
0
0
2
0
0
0
3
5
4
0
2
3
1
0
0
5
0
2
5
0
0
0
0
4
4
4
2
0
0
3
2
5
4
0
0
0
3
0
3
0
2
3
0
5
1
0
5
0
0
1
0
4
0
0
3
1
0
2
2
3
2
5
1
2
1
0
0
0
0
0
4
1
5
0
0
0
4
4
0
0
0
1
4
0
0
3
0
5
2
4
4
3
4
4
2
2
0
4
2
3
1
3
0
0
3
0
1
1
1
4
2
5
1
5
0
4
0
3
0
0
3
0
5
3
5
0
0
3
5
0
2
2
3
5
3
0
4
0
1
5
0
4
3
0
0
3
4
1
2
2
3
0
4
0
5
5
1
0
5
4
1
5
0
4
4
1
5
0
2
1
0
2
3
1
0
0
2
1
5
5
0
2
2
0
5
3
2
0
0
0
3
3
0
4
3
0
0
0
5
5
2
2
4
0
0
0
0
3
1
5
4
2
4
4
3
0
0
0
0
2
4
4
3
3
1
5
0
5
0
1
3
0
1
1
0
2
0
1
2
0
0
0
0
3
1
0
4
0
2
0
3
2
2
3
1
5
1
0
2
3
0
5
0
0
3
4
0
4
0
4
5
0
3
0
4
1
0
4
0
2
5
1
2
0
0
4
3
0
3
0
3
4
0
2
3
1
2
1
4
1
0
0
3
2
5
4
4
3
4
0
0
3
5
0
5
3
1
4
2
0
0
0
1
0
0
3
0
0
1
1
0
0
1
0
0
1
1
0
0
5
0
0
0
2
0
0
4
3
3
0
5
2
2
3
1
3
3
0
3
2
3
3
0
0
4
2
0
5
1
3
1
3
0
5
1
0
0
0
0
2
0
1
0
0
5
4
0
0
5
1
5
5
0
2
2
0
5
0
3
0
1
0
3
5
2
1
0
0
0
1
0
4
0
3
5
4
4
0
0
0
0
1
3
0
0
0
0
2
0
0
0
0
1
2
3
4
0
1
4
0
0
5
1
0
5
2
0
4
3
3
3
2
4
5
1
5
1
0
0
2
4
2
2
1
0
4
0
3
0
5
0
3
1
1
1
3
0
0
2
0
0
3
2
4
0
1
5
0
3
5
0
5
1
3
4
3
0
3
0
5
4
5
0
4
1
0
1
5
1
0
4
2
5
0
3
5
0
2
0
2
5
0
3
4
1
0
1
0
2
4
5
2
0
4
4
1
0
5
2
0
0
5
0
3
0
1
4
4
2
2
5
0
0
3
1
4
5
3
2
3
2
2
3
2
0
2
4
3
3
3
0
1
4
2
0
4
1
3
0
5
1
3
3
2
1
0
4
0
3
0
2
4
0
0
0
2
3
1
4
2
2
0
0
2
3
0
5
4
0
4
0
0
0
3
0
0
0
3
2
4
4
1
2
5
2
5
1
5
0
5
0
3
5
3
0
5
0
3
0
3
0
0
0
2
3
2
0
0
4
0
3
1
0
4
0
4
3
2
4
0
0
3
3
2
0
5
0
0
0
4
1
0
0
4
3
0
3
1
1
0
0
2
4
3
3
1
2
3
0
0
3
3
5
3
5
4
2
3
1
0
0
0
0
0
3
5
4
3
0
0
2
0
2
3
0
5
0
2
2
2
0
2
0
0
3
0
3
2
0
3
0
3
3
2
1
1
0
0
0
2
4
5
5
2
0
3
0
1
5
5
2
5
4
2
1
0
4
0
4
5
3
4
2
0
5
1
4
2
2
5
0
3
1
0
1
0
0
3
4
0
3
2
0
2
4
3
1
2
2
1
4
1
4
0
0
0
5
0
1
4
2
4
1
0
4
1
4
3
5
2
4
4
0
4
0
0
2
0
0
3
5
0
1
3
5
2
1
3
0
2
5
4
0
0
4
3
2
1
3
5
4
4
0
1
1
0
0
3
0
1
1
0
1
4
2
4
2
2
3
1
4
3
0
0
0
2
0
1
0
5
2
5
0
5
0
2
3
0
0
4
2
0
5
3
1
0
1
0
0
1
0
4
3
0
1
0
3
4
0
5
4
0
1
0
1
0
0
2
0
3
2
4
0
3
0
2
0
3
0
5
1
5
3
2
1
2
0
1
0
0
0
1
1
5
1
1
4
5
4
0
4
5
5
0
2
1
1
2
3
4
1
0
3
0
3
3
1
0
3
0
4
2
1
3
4
1
3
4
5
0
0
0
3
1
1
3
3
5
0
0
3
0
0
3
0
0
0
0
3
0
0
4
2
0
2
0
0
0
5
3
0
3
0
5
5
4
0
4
3
3
0
3
0
0
0
3
0
1
5
5
0
4
3
1
5
1
5
0
0
4
4
3
1
3
2
3
3
3
3
2
2
1
5
5
3
5
5
0
2
0
3
4
0
0
0
0
2
3
0
0
4
0
0
3
2
0
0
1
0
0
1
0
2
5
2
0
4
2
0
0
3
4
2
0
0
4
0
4
1
0
3
1
2
0
0
0
2
3
2
3
0
0
0
2
3
3
0
4
3
3
2
0
2
0
0
3
3
0
4
4
3
0
0
4
3
4
0
0
4
0
5
3
2
5
2
0
1
3
0
0
0
2
0
4
3
3
3
4
1
0
0
0
2
0
5
3
0
0
1
4
0
5
3
0
0
3
2
5
3
5
0
2
5
4
4
0
5
4
3
3
0
5
0
0
0
2
0
0
2
2
0
4
0
2
0
4
3
5
2
2
4
5
0
1
0
1
5
0
0
0
3
3
0
0
0
1
3
0
0
5
1
1
2
5
5
3
0
0
3
0
0
1
2
0
0
0
1
0
0
5
0
0
0
2
5
0
0
0
4
0
5
2
1
2
0
4
0
0
1
3
3
5
0
5
2
3
5
4
0
4
0
0
0
3
4
2
0
5
4
1
0
1
4
0
4
3
0
5
0
5
0
0
0
1
0
4
3
5
0
0
0
0
0
0
3
2
3
3
0
0
0
4
4
4
2
0
0
3
3
1
2
2
4
0
0
3
0
2
0
3
0
0
5
0
0
5
0
3
4
0
1
0
0
0
1
3
1
1
0
0
4
0
4
1
2
5
3
3
2
0
0
2
0
0
5
3
3
3
2
2
5
0
5
0
1
2
2
2
0
0
5
2
5
4
0
0
1
2
0
0
0
0
0
0
5
0
0
0
2
5
0
0
0
0
4
4
5
1
0
3
2
2
0
5
1
0
2
5
0
5
3
0
0
4
0
3
2
1
3
2
1
3
0
2
1
3
5
3
1
0
0
2
0
0
0
5
0
4
0
0
0
0
0
1
3
0
1
3
0
3
2
2
5
0
5
4
5
0
3
0
1
4
0
1
2
0
1
0
1
3
5
5
3
0
2
4
3
4
1
3
0
0
0
0
0
3
2
5
0
0
0
0
5
3
2
0
0
5
5
4
0
0
0
3
0
5
2
3
5
0
2
2
2
2
0
5
3
0
1
1
2
4
0
2
2
4
2
2
0
0
1
1
2
3
0
4
0
1
5
2
3
0
0
3
3
3
1
0
1
1
5
0
4
1
3
2
1
0
1
0
0
5
5
0
0
5
0
5
0
0
0
3
4
0
0
1
0
5
3
0
2
5
1
4
0
3
0
4
0
4
4
0
0
4
3
3
0
5
3
0
5
4
4
5
5
4
0
0
0
2
0
4
2
4
0
3
4
2
1
0
0
0
0
0
4
0
1
0
4
4
0
0
0
2
0
3
0
2
0
0
0
3
3
5
0
3
2
3
0
0
4
5
5
0
4
4
2
3
4
1
0
1
0
2
0
3
1
4
0
3
3
3
0
4
1
0
1
0
1
0
0
5
2
2
4
3
5
1
3
4
0
3
5
0
3
0
0
4
0
1
1
4
3
3
0
4
4
0
5
5
5
4
1
1
2
5
0
2
3
0
4
0
1
5
0
0
0
1
0
0
0
1
0
4
4
3
1
1
0
1
2
4
0
0
4
1
4
0
2
5
1
1
0
4
3
4
4
1
0
3
2
5
0
0
3
0
2
2
0
5
5
2
0
3
0
0
2
4
0
2
3
0
0
2
3
5
3
0
2
1
2
5
0
0
0
3
2
1
0
4
0
0
0
1
0
2
0
1
4
5
2
5
4
3
0
5
2
5
0
0
0
3
0
1
1
3
0
3
2
2
3
1
0
0
1
5
5
3
0
4
1
1
0
1
0
0
0
5
3
0
0
1
0
0
4
3
5
0
0
0
0
5
2
0
0
0
2
0
3
4
3
3
2
0
3
0
2
2
4
2
3
0
1
0
0
2
3
2
0
0
1
1
3
5
3
0
0
2
5
2
4
0
3
1
0
0
0
3
0
0
2
4
0
3
0
5
2
2
0
0
0
2
5
5
0
3
5
5
0
4
3
3
0
4
5
3
3
4
0
3
4
1
4
0
4
5
0
0
4
0
0
0
4
4
3
3
0
0
5
1
0
0
0
4
5
3
0
0
0
4
0
0
5
3
0
5
5
0
1
3
3
3
0
0
5
5
0
0
4
5
0
3
5
0
0
4
0
0
4
0
0
3
3
3
3
0
0
0
0
0
4
1
2
0
0
0
2
0
0
1
1
1
0
0
3
5
4
4
2
0
0
0
3
5
2
3
0
4
5
5
1
2
2
2
5
2
3
4
4
5
0
0
2
0
1
0
5
0
4
1
0
2
2
3
3
0
0
4
0
3
5
2
3
0
4
0
0
0
0
4
2
3
3
1
2
3
0
3
2
3
3
0
2
2
0
0
3
3
1
3
3
0
4
5
0
3
3
0
0
0
1
2
2
4
3
1
0
4
0
0
3
3
3
5
4
3
5
5
4
0
4
0
3
0
5
4
0
4
1
5
3
0
0
4
2
5
1
0
4
5
5
0
4
0
0
3
4
3
0
2
0
0
3
1
3
5
0
0
4
0
1
4
3
5
4
0
2
0
1
2
0
3
0
4
0
0
0
4
4
0
2
0
5
4
1
3
0
0
0
3
0
0
2
3
0
0
2
3
0
3
0
0
5
4
0
0
5
3
1
4
1
3
2
3
4
3
5
4
0
4
0
0
1
0
0
2
4
3
5
0
1
3
0
0
0
1
0
0
2
3
1
4
4
2
0
0
3
4
2
3
0
1
5
3
0
1
0
0
0
2
1
0
4
0
1
0
0
4
4
0
0
3
5
0
0
0
5
2
1
3
1
4
5
0
0
1
0
0
0
1
5
3
0
5
0
3
0
3
0
3
0
1
0
1
2
0
2
4
0
2
3
0
5
4
1
5
2
0
0
4
4
3
3
0
2
3
2
0
2
5
0
1
0
2
0
0
0
3
0
1
2
3
3
5
3
3
2
0
3
0
1
0
3
0
1
2
1
5
5
1
5
4
0
4
4
0
3
2
4
0
1
0
5
1
0
2
2
2
0
3
3
3
1
0
0
0
4
0
0
1
2
5
2
4
1
1
2
3
5
4
3
5
0
0
2
5
5
0
0
3
2
5
0
3
0
4
0
5
2
2
2
3
3
5
0
0
5
3
2
2
4
2
5
0
3
3
4
0
4
0
3
1
5
5
1
0
5
0
3
1
0
0
2
0
4
1
0
2
0
0
0
0
2
0
0
1
5
4
3
0
4
2
3
3
5
0
4
4
0
5
5
0
3
3
2
5
5
2
0
0
1
5
0
2
0
3
0
5
0
0
3
3
4
2
1
2
2
0
1
1
3
2
2
0
3
3
0
4
1
0
2
4
0
3
0
1
3
5
0
4
0
0
5
5
0
0
0
4
3
0
2
2
1
4
2
0
0
2
0
2
5
0
3
1
0
5
5
4
2
0
3
0
4
0
5
4
1
4
4
1
0
1
0
4
4
3
0
0
4
0
0
2
2
1
0
4
0
3
1
0
5
0
0
1
3
0
4
0
4
2
0
2
2
5
5
5
2
0
3
0
0
0
1
0
1
0
3
0
3
0
3
4
3
3
3
5
0
0
0
0
0
3
0
0
3
3
0
0
0
0
1
0
5
0
4
0
4
3
1
2
0
0
0
2
0
0
5
2
0
0
3
0
4
0
0
0
5
0
1
3
4
0
3
3
5
0
1
3
4
4
0
2
5
0
3
1
2
0
2
0
0
1
0
1
4
2
0
1
2
2
3
3
5
3
1
0
0
2
3
0
4
2
0
3
3
5
0
2
2
5
3
0
2
4
5
0
0
2
4
0
2
3
5
0
4
0
0
0
3
0
0
0
2
0
1
0
0
3
0
0
0
0
0
0
1
1
0
2
0
0
3
1
2
0
0
0
3
3
2
5
2
4
3
3
2
1
0
0
2
0
4
3
2
3
2
0
4
0
4
5
4
0
0
2
0
5
5
1
2
4
3
5
0
3
4
0
2
4
0
2
5
0
0
3
4
0
0
0
0
5
2
3
0
0
5
5
0
3
0
0
5
0
0
3
0
0
5
3
0
3
0
4
0
3
3
2
0
0
2
3
0
0
0
1
0
5
0
3
0
0
1
1
1
4
2
0
0
0
2
4
0
0
3
1
1
4
3
4
2
1
0
0
1
0
4
0
3
5
1
1
3
0
3
0
4
0
0
4
2
5
2
2
0
0
0
5
2
0
0
0
4
0
0
0
4
0
3
0
5
0
0
0
4
2
0
2
4
0
0
0
0
0
4
3
3
3
5
1
4
0
0
4
3
2
5
3
0
0
Answer 4
8%
3
0
5
0
0
2
4
0
1
0
4
4
0
3
0
0
2
3
0
3
4
0
0
4
4
2
4
3
4
0
0
1
3
4
4
5
0
0
2
5
3
0
5
3
2
4
4
5
5
0
0
0
2
5
1
4
2
3
3
3
4
4
0
5
2
0
5
2
0
3
0
0
4
0
2
2
0
3
3
3
3
0
4
3
3
5
0
5
3
2
1
0
4
0
4
0
4
0
3
3
0
1
0
4
4
0
3
3
4
0
5
5
5
5
0
1
0
0
1
3
3
5
2
0
5
1
1
0
3
4
4
1
2
1
4
3
0
4
4
0
2
5
2
0
4
1
0
3
0
0
0
3
5
4
0
4
2
0
0
0
1
0
3
2
0
4
3
5
1
0
4
1
5
0
5
5
4
4
0
3
5
3
0
5
1
2
2
0
3
2
2
2
2
4
0
4
5
5
2
4
2
0
0
4
5
0
5
3
2
0
5
0
1
4
4
5
0
0
0
0
0
0
0
0
1
5
5
0
4
1
3
5
3
5
0
2
4
1
0
5
5
3
5
0
4
3
0
5
0
0
1
0
3
3
4
0
0
4
4
2
3
0
0
0
0
0
5
2
0
1
2
4
2
2
5
2
2
1
0
2
0
4
2
4
1
1
0
4
5
0
0
3
5
0
0
3
4
3
4
4
1
5
0
1
0
1
5
0
4
5
3
5
0
1
3
5
0
5
1
2
0
3
0
1
0
3
1
4
5
4
3
5
0
1
2
4
5
3
0
3
5
3
4
2
3
3
5
5
0
4
3
0
4
3
3
3
4
3
3
2
1
2
3
5
4
2
1
2
3
4
3
2
0
0
5
3
5
0
3
5
5
0
2
2
2
5
0
1
4
3
0
1
3
0
0
2
3
3
2
1
0
4
0
4
1
5
1
0
4
1
1
2
2
0
0
0
2
3
3
3
2
0
2
0
0
3
5
5
2
5
2
5
1
1
4
4
5
5
4
5
0
1
3
2
0
5
0
3
1
4
4
1
0
0
5
0
2
5
0
4
0
0
2
0
3
0
4
5
3
3
0
1
1
2
4
0
3
1
0
0
4
2
0
2
0
0
0
3
0
5
4
5
0
3
4
0
4
3
0
3
5
0
4
4
0
0
3
0
4
4
3
1
0
3
3
1
0
2
3
5
0
4
5
5
5
4
2
3
2
0
4
0
3
0
4
0
4
3
4
5
3
3
5
4
0
3
5
1
3
0
0
0
0
5
5
1
2
5
4
5
3
0
3
1
0
3
0
0
4
0
5
4
0
2
1
0
5
4
5
5
0
0
2
0
3
0
4
4
4
0
0
3
0
4
2
5
0
5
4
0
4
1
3
4
0
0
4
5
0
5
1
3
5
5
0
2
0
0
5
3
0
3
5
3
1
1
2
3
3
2
4
0
1
2
2
0
1
3
0
0
4
0
2
1
3
5
0
4
1
0
1
1
0
0
4
0
3
2
4
1
0
4
0
4
0
3
3
0
5
3
3
0
2
5
3
4
0
5
0
3
1
2
4
2
0
3
3
2
0
4
4
4
4
2
4
2
0
0
0
1
2
2
3
1
3
1
0
2
3
0
0
0
5
3
0
0
5
4
3
3
1
5
5
1
4
3
1
3
4
3
0
0
4
4
3
0
5
4
5
0
5
0
5
0
0
5
2
4
5
4
3
2
3
1
5
5
0
4
3
0
4
4
3
2
0
0
2
4
5
0
0
4
2
1
2
5
0
0
5
3
0
4
0
2
3
1
3
3
0
3
5
0
0
5
3
0
0
1
1
1
3
0
3
2
5
5
3
3
0
0
0
0
1
5
4
3
0
5
0
4
0
2
2
3
3
5
2
1
3
4
5
3
5
0
3
2
5
0
2
2
3
5
3
2
3
5
1
0
1
1
5
4
4
5
5
2
5
0
3
0
5
0
0
3
3
5
5
0
0
3
4
0
1
4
3
4
0
3
3
0
0
3
0
5
0
3
0
0
2
5
1
1
0
3
2
4
0
5
5
1
1
5
5
1
3
0
3
0
4
5
2
3
3
4
4
1
0
3
3
1
5
3
0
0
0
5
3
0
2
1
0
4
5
1
5
0
3
4
0
0
5
0
0
5
0
0
3
0
5
0
3
5
2
4
2
2
4
1
0
5
0
5
2
1
0
5
4
3
0
1
2
3
2
3
0
4
0
4
3
0
3
4
4
4
0
0
1
1
2
2
2
2
4
5
5
5
5
2
3
0
0
1
4
0
5
5
0
5
4
3
3
3
2
0
5
5
1
5
2
0
3
0
3
3
1
0
0
0
0
1
0
5
0
5
5
0
0
1
3
0
3
0
1
0
0
3
1
0
1
5
3
1
0
4
5
0
2
4
5
0
3
3
2
0
5
3
0
0
3
0
2
2
0
0
3
4
5
4
3
2
0
0
4
0
5
2
5
5
5
0
4
3
0
4
2
2
3
5
0
4
0
2
4
0
1
2
2
5
2
3
0
1
5
3
2
4
4
1
5
1
3
1
5
3
1
3
4
5
2
0
0
3
0
3
1
0
3
3
5
5
5
3
4
3
0
2
0
5
3
5
0
3
2
3
3
0
4
2
3
5
0
0
0
0
0
3
1
4
0
0
4
0
0
0
4
2
3
4
1
2
4
5
0
2
5
1
2
3
2
5
4
3
3
4
5
5
5
2
3
4
0
3
3
3
1
3
0
0
5
0
1
0
3
5
5
1
5
0
0
5
3
4
4
0
4
5
1
5
2
2
2
0
2
2
0
3
3
5
3
1
4
5
4
2
4
3
5
5
0
2
3
1
1
3
2
2
2
4
3
3
5
2
3
0
2
4
3
1
5
2
0
4
5
0
1
3
4
5
4
0
5
3
2
0
3
2
5
3
0
0
0
5
0
3
0
1
2
5
3
5
1
2
4
1
5
3
3
4
5
2
1
4
2
0
0
3
3
0
0
2
5
2
4
3
5
1
3
0
4
1
0
0
4
4
5
2
0
0
0
3
5
5
3
5
0
0
3
5
0
3
3
0
3
1
2
0
1
4
5
5
5
3
4
0
2
2
0
2
4
0
2
2
1
5
3
5
5
2
4
0
1
4
0
4
0
3
2
1
2
0
2
0
5
2
3
0
0
0
5
1
2
5
0
5
2
4
4
2
3
0
3
0
3
5
0
4
2
5
0
3
2
1
0
4
2
4
3
5
3
5
2
0
2
2
3
1
4
1
5
0
4
4
0
0
0
0
0
3
0
2
4
3
2
4
4
5
5
1
4
3
2
5
1
3
0
0
3
3
2
3
4
1
3
0
0
1
5
0
5
0
0
5
4
4
5
4
2
0
5
3
1
5
0
3
2
2
1
0
0
3
5
3
5
4
4
3
0
4
1
1
4
4
3
0
0
1
0
3
3
0
5
3
0
4
3
2
3
3
2
2
4
3
2
5
3
2
4
0
0
4
0
5
3
3
2
5
3
5
2
3
4
3
2
1
5
0
5
2
0
0
0
3
2
0
3
5
0
3
3
1
3
0
5
0
5
0
3
4
4
2
3
2
5
3
1
5
3
2
0
0
2
0
2
4
2
4
5
5
5
2
3
5
4
1
1
1
2
0
3
3
3
0
3
4
3
2
3
0
2
2
4
0
4
3
0
3
5
4
0
3
0
0
3
4
5
0
3
1
0
3
4
0
0
0
1
2
0
3
3
3
3
3
1
1
5
5
5
5
3
1
3
0
0
1
0
0
1
3
2
0
3
0
5
2
5
1
3
4
1
3
0
4
0
2
0
4
5
5
4
0
4
0
3
1
2
1
3
0
1
2
2
5
5
3
0
4
2
5
2
0
5
3
0
5
5
3
0
3
1
1
3
0
3
4
5
3
4
0
0
4
4
3
0
0
4
4
5
3
3
3
4
5
5
5
4
0
3
0
2
1
2
0
4
0
4
0
0
0
3
3
4
2
4
0
2
3
3
1
5
0
5
3
2
2
4
3
5
4
5
5
3
1
2
2
4
4
2
3
2
5
5
3
0
5
2
4
5
5
4
4
4
4
0
2
0
0
3
1
2
4
3
0
4
1
0
2
3
3
0
4
1
3
0
3
3
0
1
0
3
0
0
1
0
3
3
2
0
0
0
3
4
4
4
4
5
0
0
4
4
3
1
4
1
4
0
2
2
0
4
4
0
1
3
3
3
0
1
3
2
3
4
5
0
1
1
4
0
2
3
3
4
4
0
0
5
0
2
1
5
5
3
5
0
0
5
3
0
0
4
2
0
5
2
0
5
0
5
5
5
3
0
1
1
4
3
0
5
3
0
1
0
1
4
0
0
0
0
4
5
3
3
2
5
3
4
0
3
0
1
5
2
2
3
3
3
4
0
0
1
4
0
0
2
4
4
0
0
3
4
3
5
4
3
3
4
5
4
5
1
4
0
2
5
3
3
3
2
0
0
0
3
0
3
4
0
5
0
2
0
0
4
5
0
4
0
5
2
1
0
0
5
2
4
0
4
0
0
4
2
4
3
3
2
0
0
0
3
3
3
0
2
1
2
0
3
4
0
2
2
0
0
0
5
0
0
3
1
2
2
2
5
1
2
5
3
4
5
2
5
2
3
1
1
0
0
2
2
5
4
4
3
4
1
3
2
4
0
4
5
1
3
4
5
0
5
3
4
0
2
0
5
4
0
1
4
0
5
3
3
3
5
0
0
2
0
1
2
4
0
3
0
0
0
4
4
2
0
3
3
3
3
3
0
5
0
1
5
3
4
3
4
5
0
3
4
3
0
0
0
3
4
2
0
0
0
5
0
5
1
0
3
0
3
5
0
0
1
1
4
4
1
5
3
5
0
0
3
1
0
1
2
1
0
5
0
5
5
0
2
1
1
3
1
3
2
0
4
3
0
2
2
4
2
3
2
0
5
0
1
5
1
0
0
0
4
3
4
1
0
3
3
3
2
3
2
0
0
1
0
0
0
5
2
2
3
4
2
4
0
1
3
4
3
4
2
3
0
2
2
5
3
4
3
3
0
4
0
5
2
0
3
0
2
0
0
2
1
3
4
3
2
2
0
0
1
0
4
0
1
3
2
3
4
5
4
3
3
3
2
5
4
4
0
5
0
3
1
3
4
3
4
0
4
5
2
3
5
0
5
3
0
5
2
5
2
0
3
0
5
3
0
3
2
3
0
5
4
4
4
3
0
2
0
0
2
4
1
0
3
3
1
0
0
0
4
0
0
0
2
1
0
3
4
3
3
3
4
3
3
4
3
0
3
0
1
5
3
1
4
0
3
5
0
5
5
2
1
2
5
2
0
0
4
0
3
5
5
0
1
3
1
5
4
0
1
1
0
4
0
5
0
3
4
3
0
3
4
3
0
0
3
1
0
0
2
5
4
1
0
4
3
0
4
4
5
2
3
5
4
1
5
0
0
3
5
5
4
1
0
3
3
0
0
4
1
1
4
1
4
4
4
3
0
0
3
3
0
2
5
5
5
0
4
0
4
5
0
5
0
0
3
5
1
5
5
4
2
0
3
2
0
2
3
5
0
1
0
3
3
0
4
3
2
3
0
3
4
0
0
3
5
3
0
0
1
0
5
2
4
1
4
0
5
3
4
0
0
2
1
3
0
3
0
3
4
5
3
5
2
5
4
5
0
0
5
5
0
4
4
1
5
0
3
0
2
2
4
0
3
4
4
0
2
5
5
0
3
3
2
1
2
1
2
3
0
5
0
5
0
0
2
3
0
0
0
0
3
5
1
0
3
2
5
4
5
5
0
0
3
2
0
0
2
0
0
0
0
3
5
5
5
1
3
1
1
4
5
0
0
5
5
0
3
2
3
0
3
0
4
4
0
0
0
0
3
0
2
3
2
1
0
3
3
4
4
3
5
5
0
0
4
4
2
0
3
0
4
1
4
2
4
3
4
5
3
0
5
2
2
1
4
3
4
2
2
3
1
3
4
2
5
3
2
1
5
2
0
0
0
2
2
1
0
3
5
0
4
0
3
5
3
4
3
5
3
4
3
3
4
5
0
4
5
2
5
0
1
0
2
2
1
0
5
0
4
3
2
3
0
1
3
4
0
0
1
2
4
0
3
4
3
1
4
5
0
3
4
5
2
0
2
0
2
0
0
3
5
0
1
4
3
2
3
1
0
1
4
4
3
1
2
1
2
0
0
0
0
2
1
0
5
5
5
5
2
3
0
4
1
0
0
0
5
5
0
5
5
0
0
1
0
2
1
0
4
2
0
4
4
3
5
0
5
0
0
4
0
4
5
3
2
5
3
3
4
5
4
5
4
3
0
1
0
0
3
5
1
2
0
2
0
3
0
5
2
4
1
4
1
0
4
2
4
4
3
3
2
3
0
0
0
2
2
2
5
2
5
5
2
3
3
3
0
3
3
2
4
0
0
0
0
5
0
4
0
1
2
4
5
5
0
0
0
2
4
1
0
2
0
0
1
0
0
3
2
5
0
3
2
5
3
3
2
5
0
5
4
0
5
0
5
4
3
0
4
2
1
5
0
3
0
3
0
0
0
1
3
5
3
5
5
0
3
0
2
0
2
4
0
4
4
4
4
5
2
1
2
4
0
0
2
4
2
0
2
0
5
0
1
0
4
0
2
3
0
3
5
1
1
3
0
0
5
5
3
4
3
0
5
4
5
5
5
0
3
4
3
0
4
3
3
1
4
1
4
3
2
5
5
0
4
1
0
5
0
2
5
0
3
3
2
3
0
4
4
1
1
1
1
0
3
5
2
0
3
5
4
0
0
0
3
1
5
4
3
5
3
4
0
5
0
5
2
4
5
0
0
3
0
0
0
3
0
1
5
2
4
5
0
0
4
3
3
1
3
1
1
2
1
0
4
0
2
3
2
3
5
4
0
2
5
0
0
0
4
0
3
4
0
0
4
0
5
4
0
4
2
1
4
3
5
4
1
5
5
3
3
1
3
2
0
5
0
5
5
5
3
0
0
3
5
3
1
2
4
3
5
4
3
2
0
5
4
5
5
3
1
2
4
3
4
5
0
1
0
0
2
1
0
3
4
5
5
4
2
3
3
4
5
4
3
0
2
3
4
0
5
0
0
1
5
0
0
3
2
5
3
2
4
3
3
0
5
0
0
1
1
5
5
4
0
4
3
5
2
0
3
0
1
0
4
3
0
3
5
2
5
4
0
0
5
2
4
5
5
3
0
4
5
5
3
4
5
0
5
0
1
2
3
2
0
4
2
1
1
3
2
4
0
3
4
0
5
0
0
1
0
0
1
3
4
5
1
5
3
4
5
0
2
0
5
0
3
3
0
5
2
3
3
2
5
0
0
5
4
0
2
5
4
0
3
3
0
4
3
0
5
0
3
3
0
3
3
3
1
4
0
3
5
1
3
2
0
3
3
2
0
0
1
3
0
2
1
5
0
0
4
4
2
0
4
4
0
3
4
1
2
4
0
0
4
2
2
2
0
2
1
1
0
3
1
3
0
3
0
5
0
3
5
4
5
5
3
5
5
5
3
5
5
0
3
2
0
2
3
3
2
1
0
0
1
1
5
0
0
3
3
3
0
4
5
4
4
0
1
1
0
5
0
4
4
4
4
0
0
2
5
0
4
3
5
3
0
1
5
3
3
3
5
0
2
4
2
0
2
0
0
2
3
0
5
1
3
1
0
0
1
0
3
3
3
2
4
0
2
0
2
5
0
3
3
4
5
0
4
3
0
0
0
3
3
3
3
3
2
3
1
3
4
5
2
5
4
0
3
2
4
5
4
4
4
2
3
0
4
3
1
0
1
5
2
4
5
2
2
0
5
3
0
0
5
1
3
0
1
0
2
3
4
0
5
4
2
5
0
4
1
2
2
4
2
3
0
2
5
3
0
4
5
4
3
2
2
0
0
0
0
4
3
5
5
4
2
2
0
4
0
4
1
4
4
0
0
3
0
0
0
0
1
2
0
1
0
5
0
4
3
3
0
5
1
0
5
4
2
5
4
3
2
5
0
5
5
5
0
0
4
5
1
1
3
2
4
5
3
0
0
4
0
0
0
3
4
4
5
1
4
3
0
0
2
0
0
4
5
3
2
5
5
0
2
0
0
5
1
3
5
0
0
0
1
0
1
3
1
0
5
5
5
2
4
3
0
0
4
0
2
0
5
4
3
4
0
0
4
3
2
2
2
1
2
3
4
0
3
5
3
1
3
3
2
3
1
0
0
2
3
5
0
4
1
2
2
0
0
5
5
3
0
4
2
2
4
1
1
0
0
5
2
4
0
0
2
3
3
0
4
5
0
4
0
5
0
5
0
5
3
0
3
3
0
3
4
0
5
4
2
4
0
1
2
1
0
0
2
4
3
5
3
0
0
Answer 5
8%
0
0
5
0
0
0
4
0
1
3
5
0
0
1
5
0
5
2
0
5
2
3
0
3
2
3
3
5
1
0
0
1
4
0
4
5
0
0
2
5
4
2
5
3
4
2
0
4
2
0
5
1
4
3
2
3
5
2
2
2
5
3
0
3
2
0
5
0
0
3
0
0
1
0
5
2
1
0
1
1
2
0
3
0
3
3
0
5
5
1
1
5
2
4
4
0
4
0
1
2
0
0
0
4
4
0
3
3
2
5
5
4
5
2
3
2
5
5
0
2
3
5
0
0
0
1
4
3
2
5
5
3
1
0
5
0
3
3
3
2
4
5
1
0
0
3
0
0
0
4
0
1
2
2
0
0
1
0
4
5
0
5
4
1
0
4
4
0
3
3
5
3
0
3
4
5
3
4
0
3
5
3
0
5
0
3
2
5
3
2
2
4
0
3
3
3
5
3
4
3
1
0
0
5
3
2
0
2
3
0
5
0
1
2
2
3
0
2
4
2
0
0
0
0
1
4
3
2
2
3
4
0
5
3
0
3
2
4
1
1
3
2
5
5
3
3
5
5
3
0
3
1
2
3
3
0
2
3
0
3
5
0
0
0
0
0
5
4
5
0
4
5
2
1
1
0
1
0
0
4
5
2
4
3
2
0
5
4
5
0
0
3
5
3
0
3
3
2
3
0
4
5
2
5
0
2
0
0
3
5
0
3
0
1
5
2
0
1
4
0
3
1
0
1
4
2
0
5
5
4
3
1
5
5
2
4
0
1
1
4
4
1
0
4
1
2
4
1
0
4
2
0
3
3
1
4
2
3
3
5
1
2
5
5
2
1
4
0
0
5
3
0
5
4
5
0
5
0
2
5
5
0
1
0
3
4
3
5
1
2
1
2
3
0
0
0
1
5
3
2
5
4
0
3
0
0
2
0
4
4
2
3
4
0
0
0
3
0
0
4
3
0
4
0
0
0
0
4
3
5
0
5
1
1
3
5
4
0
2
0
2
1
5
2
5
4
5
5
3
3
0
1
3
0
1
0
0
4
0
5
5
4
4
0
2
0
1
3
1
3
0
1
4
1
4
1
0
1
0
0
2
5
3
2
5
0
0
3
0
4
0
4
0
5
0
0
2
4
4
2
4
5
4
2
3
0
4
2
2
4
0
2
0
5
5
0
0
5
2
2
4
3
4
3
3
2
2
3
1
0
5
0
0
0
0
0
2
0
3
3
3
4
4
4
0
4
5
0
0
0
3
5
0
3
5
0
0
2
2
2
2
2
4
0
1
3
0
0
2
1
5
3
0
0
5
3
5
4
3
5
3
2
0
3
0
1
0
4
2
0
0
2
0
1
3
4
5
3
3
5
0
3
5
2
0
2
5
5
0
5
0
3
5
4
0
3
0
4
2
5
5
5
5
4
4
3
0
3
0
4
0
1
4
3
2
5
0
5
2
0
4
1
2
0
2
3
0
5
2
0
4
0
0
2
2
0
4
3
5
3
0
4
3
4
0
1
4
3
1
3
0
0
1
5
0
1
0
4
0
1
4
1
3
1
1
4
2
5
3
3
2
5
4
5
0
1
5
0
0
1
4
3
4
3
2
3
0
4
0
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4
2
5
4
0
3
1
2
4
0
3
0
2
0
0
2
2
1
0
3
0
1
3
5
3
4
4
3
5
2
0
5
1
5
0
1
1
4
4
3
0
5
2
3
3
2
2
1
4
4
0
1
4
0
2
0
5
0
5
0
3
4
1
0
0
5
4
5
5
1
3
5
0
0
0
0
0
5
5
2
0
4
5
2
3
0
1
0
5
0
2
1
1
5
4
4
4
4
5
3
5
0
1
0
5
4
2
4
0
3
0
4
5
4
2
2
5
1
1
4
5
4
2
5
3
4
0
4
3
0
0
0
2
3
3
5
0
5
4
5
0
0
2
5
3
4
2
0
5
5
0
1
5
5
5
2
0
5
0
0
3
1
0
1
1
2
5
4
5
5
1
0
2
3
0
5
3
3
0
1
1
3
0
5
3
3
5
5
2
0
2
1
3
5
0
4
2
2
1
5
4
3
4
4
0
0
5
4
5
3
5
2
1
1
0
0
4
4
2
5
3
0
2
1
2
5
4
0
3
4
4
2
0
0
2
1
0
0
5
0
5
0
0
3
5
0
4
5
5
0
3
5
0
2
3
0
3
3
4
0
1
0
3
0
0
1
1
5
5
5
0
3
Answer 6
6%
4
0
0
0
0
0
5
4
1
0
2
0
5
5
3
0
1
2
0
2
2
5
0
0
0
4
4
0
0
0
0
0
0
3
5
3
0
0
2
0
5
0
3
3
3
0
0
5
0
0
0
0
2
2
4
5
3
5
5
5
0
4
0
1
3
0
5
0
3
0
0
3
2
0
0
3
1
2
2
2
2
0
4
0
1
2
0
4
5
1
1
3
5
0
0
0
5
0
1
3
3
1
0
0
0
0
5
3
2
0
0
1
5
1
0
1
5
0
4
5
3
1
0
2
1
3
4
2
3
5
0
0
5
1
0
0
0
0
3
0
2
5
5
0
0
3
0
0
3
0
0
3
3
4
0
2
5
3
0
5
4
0
0
3
3
2
0
0
2
0
4
5
0
0
5
0
2
2
0
1
5
1
0
0
0
2
1
0
0
4
1
3
0
3
0
3
0
3
5
5
2
0
0
5
5
0
0
0
2
0
1
3
3
2
5
5
5
0
5
0
0
4
0
3
4
2
4
0
1
0
5
2
2
0
2
0
1
2
1
1
3
5
5
0
4
3
0
5
0
0
0
0
0
1
0
0
5
5
0
0
0
2
0
5
0
0
0
0
0
0
0
4
1
1
2
1
3
4
0
0
5
3
3
4
0
0
0
0
4
5
0
2
0
4
0
3
2
0
3
0
1
5
0
1
0
1
0
0
3
5
0
3
0
0
5
0
0
0
2
1
0
1
3
0
0
5
0
4
0
5
4
5
0
4
1
4
0
5
2
3
0
0
0
4
2
3
4
2
0
3
0
4
3
3
1
4
1
5
1
0
4
3
4
5
0
5
2
0
3
4
2
0
0
0
5
0
3
0
1
3
1
2
0
3
1
5
0
0
3
0
0
2
0
0
5
0
1
2
5
0
2
4
0
2
0
0
2
0
3
5
3
2
4
0
0
1
3
0
0
0
3
0
5
0
4
0
0
5
2
5
0
2
1
1
0
0
0
0
0
0
2
0
4
2
4
4
0
0
0
0
0
4
4
0
5
0
0
4
1
2
5
3
3
4
4
0
0
5
4
5
0
1
3
0
0
0
0
1
3
0
1
4
0
4
2
0
0
0
0
0
0
5
0
1
0
0
0
1
0
4
4
0
5
4
4
4
3
3
5
2
5
1
0
4
1
0
2
3
5
1
0
0
4
3
0
1
3
5
0
0
3
0
0
0
0
0
3
0
0
5
4
4
0
0
0
0
5
0
0
0
0
0
0
2
3
0
3
1
2
5
0
1
3
0
5
5
0
0
3
0
1
0
1
0
0
0
3
0
4
1
2
0
4
0
0
0
0
5
1
0
0
3
0
0
3
3
0
3
3
0
0
4
2
2
0
0
3
2
0
5
4
0
2
5
0
5
0
5
1
5
1
3
0
0
5
4
4
4
0
1
0
0
2
4
2
0
0
5
2
0
0
2
0
0
4
0
0
0
4
0
4
2
0
0
1
0
0
4
4
2
0
0
0
0
0
1
3
0
1
5
1
0
1
0
1
2
0
1
0
3
0
1
0
1
0
0
1
0
3
1
1
5
1
4
4
0
0
0
0
1
1
0
3
4
1
2
0
4
0
0
0
0
3
1
2
0
0
4
1
0
3
3
0
1
4
1
3
1
0
2
0
1
0
1
3
0
0
0
1
5
3
0
0
0
0
3
3
0
0
2
5
5
0
0
5
5
0
5
2
0
3
4
0
1
0
0
2
2
4
3
0
1
2
0
3
5
0
4
1
4
0
3
0
2
3
0
4
4
0
1
0
0
0
2
5
0
0
2
1
0
2
0
4
3
5
1
3
0
0
0
0
0
0
2
2
3
0
0
0
1
3
0
0
2
4
0
0
0
3
0
5
4
3
3
5
1
1
0
1
0
4
1
1
4
3
2
0
0
0
3
2
3
0
0
5
5
2
0
4
0
3
0
0
2
3
5
3
5
1
0
2
3
0
3
1
4
0
4
0
0
0
3
5
0
3
5
0
0
0
3
0
3
2
5
3
2
0
5
5
2
0
5
5
1
5
0
0
3
0
5
0
3
0
0
4
2
0
0
0
0
4
4
5
0
5
2
0
5
2
0
0
0
2
2
4
0
4
1
4
0
0
2
3
1
0
0
0
0
0
3
0
0
5
2
2
1
5
2
0
0
0
5
2
1
4
0
2
0
0
2
3
4
4
3
0
4
0
4
0
3
0
3
4
3
0
0
3
0
2
1
0
3
0
5
0
3
3
1
3
0
0
3
1
0
4
3
0
2
0
2
3
2
4
5
0
4
0
5
0
0
2
0
2
4
2
0
0
0
3
5
0
0
0
2
5
0
0
5
4
0
2
0
2
0
0
4
2
3
4
0
3
0
0
0
3
0
0
5
3
0
5
1
0
0
0
0
0
0
4
4
0
0
3
2
0
3
0
0
0
0
0
0
4
5
0
0
3
4
0
0
0
0
0
5
2
0
1
0
0
4
0
4
3
3
0
0
2
4
2
0
0
1
5
1
4
0
0
0
0
0
0
0
2
0
1
0
0
4
1
0
0
5
0
4
0
0
0
2
4
5
0
5
0
2
0
3
5
0
1
0
4
0
1
0
5
0
2
1
4
2
0
1
0
0
0
2
0
0
0
0
2
0
0
0
0
3
3
2
5
4
0
4
0
0
5
3
0
0
2
0
4
5
4
2
2
5
5
0
5
0
0
0
0
4
2
4
2
0
4
3
1
5
0
0
3
1
0
0
5
0
0
2
0
0
4
0
1
0
0
5
2
0
5
0
0
1
0
5
3
1
3
0
4
5
5
0
4
0
0
0
0
1
0
4
4
3
2
0
4
1
1
0
0
0
0
5
3
2
0
0
0
3
3
4
5
0
4
1
3
0
4
1
0
0
4
2
2
0
0
4
4
5
2
1
0
1
4
0
0
4
0
4
1
1
1
5
3
0
3
5
1
3
0
0
1
0
1
0
0
0
0
0
4
4
5
0
2
0
0
0
2
0
0
2
1
0
0
0
4
4
3
5
2
1
0
0
4
2
5
5
0
1
5
0
0
0
0
0
0
0
2
1
2
3
3
3
3
2
5
1
5
0
1
0
3
5
4
0
5
0
5
0
0
0
0
0
2
0
0
0
4
0
0
2
1
0
4
0
5
4
4
3
0
0
5
2
3
0
0
0
0
0
5
0
0
0
3
1
0
0
1
2
2
0
3
4
5
3
2
5
2
2
0
4
2
0
4
1
5
4
1
0
0
0
0
0
0
1
0
3
2
1
0
3
0
4
5
1
5
0
3
2
2
0
0
0
0
3
0
5
1
0
0
0
0
3
5
0
0
0
0
0
3
1
0
4
2
0
3
0
4
4
4
2
4
4
2
3
0
2
3
2
5
1
4
3
0
5
1
3
4
1
5
0
0
0
1
1
0
0
3
4
0
0
0
0
1
2
1
1
2
0
0
5
2
2
0
0
0
4
0
0
4
3
1
0
0
4
1
3
4
0
1
5
3
0
3
4
0
2
3
0
4
0
0
1
4
2
1
1
3
0
3
0
2
0
0
4
4
3
2
4
5
0
4
0
1
2
0
0
3
0
0
1
0
1
5
4
5
1
5
0
3
0
3
0
0
0
0
0
1
0
5
0
5
2
5
0
1
4
0
0
3
0
0
5
0
2
0
4
0
0
1
0
2
0
0
2
0
0
4
0
5
3
0
1
0
0
0
0
0
3
0
2
5
3
3
0
0
0
3
1
0
0
4
3
2
3
2
0
1
0
2
0
4
2
5
2
0
0
0
5
0
1
5
3
0
2
2
3
2
5
0
1
0
5
0
0
3
1
0
1
0
1
0
0
3
5
1
0
4
5
0
0
0
3
1
2
2
5
5
0
0
3
0
0
0
0
0
0
1
0
2
3
0
2
0
2
0
1
0
5
0
1
3
1
5
5
3
0
3
3
5
0
1
0
0
0
5
0
1
3
5
0
1
3
3
0
5
5
0
0
5
4
3
0
2
4
2
0
0
5
2
2
1
2
0
1
4
4
0
0
1
5
4
0
0
0
0
0
2
0
1
0
2
0
2
0
0
4
2
0
3
2
3
1
2
4
2
3
0
0
0
3
0
4
0
0
3
0
0
0
0
3
1
4
0
0
0
0
0
3
2
0
0
0
0
5
3
1
3
3
3
2
4
1
0
0
0
4
0
1
4
3
1
3
5
2
5
0
0
3
0
1
3
2
5
1
0
5
4
2
0
0
2
2
1
0
0
1
4
5
0
1
4
1
0
5
3
0
0
5
2
0
4
0
0
1
5
3
0
3
5
0
0
4
5
5
0
1
0
0
3
0
0
0
0
0
0
0
0
2
2
0
1
0
4
0
4
4
5
3
1
4
5
0
1
0
0
5
4
0
3
3
3
0
0
2
2
3
0
0
4
4
4
0
5
0
0
0
0
3
0
0
0
5
4
0
0
0
0
0
5
1
0
0
1
1
0
1
0
2
0
5
0
2
3
0
0
3
0
1
3
4
5
0
4
5
2
4
3
0
2
0
0
0
2
4
1
0
5
1
2
2
1
3
0
3
5
0
0
0
0
0
0
0
1
0
0
1
3
1
0
1
0
0
0
2
3
3
4
0
0
0
2
3
5
3
3
0
5
5
0
4
4
2
0
0
2
0
2
0
0
0
0
2
0
4
0
3
0
5
0
1
0
0
0
2
4
2
2
0
0
1
0
5
4
5
5
1
4
0
5
0
2
0
0
4
3
3
1
5
3
5
0
4
0
0
5
5
2
0
0
5
2
3
4
0
0
4
4
0
0
0
0
0
0
5
0
0
0
0
4
3
0
0
0
1
4
5
0
0
2
1
0
1
5
2
4
1
1
0
4
3
0
2
4
3
3
3
1
4
5
0
3
0
3
2
4
0
0
1
0
0
5
0
0
0
5
0
4
0
1
0
0
1
3
3
0
0
3
0
3
3
5
0
0
4
0
2
0
0
0
2
5
0
1
2
0
1
0
1
2
3
0
2
0
3
5
4
3
3
1
1
0
0
0
0
3
0
3
0
0
0
0
4
3
5
0
0
0
5
0
0
0
3
5
2
2
1
3
1
5
0
0
3
1
0
3
3
0
5
4
3
3
0
3
5
5
3
1
0
0
2
1
4
0
0
3
0
0
0
3
3
0
4
5
0
3
3
0
5
0
5
0
3
0
5
4
1
0
1
0
0
0
5
0
0
5
0
4
0
0
0
1
4
3
0
3
0
5
0
0
1
5
2
4
0
2
0
2
0
0
5
2
0
4
4
4
0
5
3
0
4
0
3
2
5
5
0
0
2
1
3
4
5
4
0
3
4
2
1
0
0
1
4
0
5
2
2
0
3
3
0
0
0
0
0
0
0
3
2
3
0
0
2
3
0
3
2
4
3
0
4
5
2
0
3
4
0
3
4
1
0
0
0
3
0
1
4
5
0
0
4
3
1
3
1
0
0
2
3
0
3
0
5
0
3
5
3
2
3
3
0
5
4
0
2
0
0
5
0
1
3
2
3
3
0
4
2
0
5
1
5
4
0
3
0
0
0
1
3
0
0
1
3
5
0
0
0
1
0
0
0
1
0
0
5
3
1
3
0
1
0
4
0
0
5
0
5
0
0
0
4
1
0
3
2
1
4
1
2
0
0
5
2
0
3
0
4
1
0
5
5
2
0
5
0
0
3
5
0
0
2
0
0
1
3
5
1
0
1
2
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
2
3
1
3
5
2
0
3
0
0
4
1
5
0
0
0
5
0
3
2
0
0
1
1
2
2
1
0
1
1
0
4
0
0
5
0
0
0
2
0
0
0
0
0
0
0
1
0
0
2
4
5
0
0
0
0
0
3
0
0
0
1
0
4
3
4
3
5
0
4
0
4
4
0
3
3
0
0
1
0
3
4
3
0
0
0
1
3
5
5
3
0
1
5
3
0
0
2
2
0
1
3
4
0
0
0
5
0
2
0
4
3
2
0
0
0
5
5
5
4
2
5
0
0
0
3
0
0
5
0
0
2
3
0
0
2
4
1
0
4
3
0
0
3
0
0
1
5
4
0
0
0
0
5
0
2
0
5
2
5
3
0
2
5
4
0
0
4
0
0
5
4
1
1
3
3
0
1
0
5
4
0
0
0
5
0
3
0
0
0
0
0
0
4
0
0
5
1
2
0
0
0
0
0
0
3
1
2
0
0
0
4
0
0
0
0
1
0
0
5
5
4
5
2
1
0
0
1
0
2
5
0
2
3
5
3
2
3
2
4
3
4
0
3
0
0
0
5
0
1
0
5
3
5
3
0
4
3
4
5
0
0
4
0
3
3
3
1
3
4
2
0
0
3
4
1
5
3
0
5
0
0
4
3
2
3
0
2
3
5
0
1
0
1
0
4
0
3
1
0
3
3
1
0
0
0
0
2
0
0
0
0
2
0
0
2
2
5
0
1
0
3
4
2
0
4
5
3
0
4
4
0
5
1
3
0
0
0
1
3
4
3
0
5
0
0
0
3
0
5
0
5
4
0
4
0
0
0
1
3
0
0
0
3
0
0
4
1
3
4
0
0
0
3
5
0
2
0
3
0
0
0
0
0
0
1
0
5
2
2
2
0
4
0
5
0
0
2
4
0
0
2
0
0
3
0
4
3
4
0
4
5
4
1
5
1
2
2
4
4
4
4
3
0
4
3
0
0
0
0
1
3
2
5
0
3
1
0
0
0
2
0
2
5
0
3
3
5
3
3
0
0
5
3
5
2
1
5
2
0
0
0
0
0
2
0
0
2
0
0
0
0
0
2
0
0
4
3
0
1
3
5
0
2
4
1
3
5
0
1
0
0
5
0
0
0
4
0
5
0
0
0
5
1
0
5
4
0
1
0
0
0
4
1
2
4
3
4
3
1
4
2
0
0
4
5
2
3
0
1
4
0
0
0
3
0
3
0
1
0
0
1
3
3
1
2
2
0
2
3
3
2
0
3
5
1
0
1
3
2
3
1
5
5
0
0
0
0
0
2
0
2
5
3
0
3
0
4
3
5
4
2
2
0
2
2
2
3
4
0
0
5
0
0
3
0
4
3
4
1
1
2
2
0
1
1
4
0
3
0
5
4
0
4
2
3
4
5
2
4
3
0
5
2
0
4
3
5
5
0
0
4
5
0
1
1
1
5
0
4
5
3
0
5
0
4
2
0
2
3
3
5
0
5
0
1
1
2
0
3
0
0
4
0
4
0
0
0
0
0
4
5
4
1
0
0
4
2
3
0
0
4
5
0
0
4
4
4
0
1
4
5
0
0
0
3
5
2
1
0
5
0
5
0
0
0
4
5
0
4
1
3
0
0
2
4
2
2
0
3
5
1
5
3
0
2
2
0
0
0
0
4
2
0
3
0
0
5
5
5
0
4
5
0
0
2
1
0
4
1
5
0
2
0
2
5
0
2
1
3
0
4
2
0
0
5
0
4
0
5
5
0
3
5
1
0
1
0
5
5
2
0
2
0
0
0
5
3
5
0
0
0
3
0
0
5
0
0
1
5
0
2
0
5
5
0
0
1
0
5
0
4
0
0
0
0
0
2
0
0
0
2
5
4
4
4
2
5
5
5
5
0
0
3
0
0
4
0
0
5
5
0
0
0
0
2
0
5
0
3
0
5
4
0
1
0
0
4
2
0
0
5
4
2
0
0
0
4
0
0
0
2
0
0
3
4
2
1
2
5
0
1
5
5
2
0
0
0
4
1
0
2
0
4
0
0
1
0
1
3
0
0
2
2
2
4
3
0
0
1
4
0
3
3
0
0
1
0
2
5
5
0
2
2
4
4
0
3
3
5
1
5
2
4
0
3
3
4
0
4
0
0
0
0
0
0
0
0
0
2
0
0
3
0
1
0
0
0
0
3
0
0
0
0
0
1
1
0
4
0
0
2
0
2
0
2
2
0
4
2
2
0
0
0
0
5
3
5
3
0
5
0
5
5
5
2
4
0
0
0
4
5
2
0
5
4
5
0
3
1
0
0
1
0
0
0
0
0
5
5
2
0
0
0
0
1
3
0
0
3
3
0
0
0
0
0
4
0
4
0
0
4
2
0
0
0
0
3
5
3
1
0
0
2
2
0
0
0
4
0
5
4
5
0
0
3
1
5
5
0
2
0
0
2
4
5
0
5
3
0
1
2
3
1
1
0
0
1
0
5
0
3
5
1
1
0
2
3
0
2
0
0
3
2
4
2
0
0
0
0
5
5
0
3
3
5
0
0
0
4
0
3
0
0
0
3
0
3
3
0
0
1
0
5
0
0
2
4
2
3
0
2
0
3
0
0
5
3
4
4
3
0
0
Answer 7
6%
0
0
0
0
0
0
5
3
1
0
2
0
4
5
4
0
0
0
0
2
2
5
0
0
0
4
2
0
3
0
0
0
0
3
5
4
0
4
2
0
5
4
2
4
1
0
2
5
5
0
0
0
4
2
3
5
5
3
5
5
0
5
0
4
3
0
5
0
3
0
0
0
2
0
1
4
4
1
3
3
3
0
3
0
2
2
0
4
5
1
0
3
4
0
0
0
5
0
3
4
3
1
0
0
4
0
5
3
3
0
0
2
4
1
0
3
5
0
4
5
4
2
0
0
2
1
4
0
2
5
0
0
3
0
0
0
0
0
3
0
2
5
0
0
0
1
1
1
3
0
0
2
2
5
0
2
1
0
0
0
0
0
2
1
3
2
5
0
3
0
4
4
0
0
5
0
2
2
0
2
5
2
4
5
0
1
1
0
0
1
1
3
0
2
0
2
3
2
5
5
1
0
0
4
5
0
0
0
1
0
2
0
3
2
4
4
0
0
0
0
0
0
0
0
2
2
2
0
1
0
5
2
2
1
0
0
1
1
0
1
1
5
3
0
2
5
0
5
2
0
0
0
0
2
0
0
5
5
3
0
0
2
0
0
0
0
3
1
0
2
1
4
4
0
4
4
3
0
0
0
5
4
3
3
0
0
0
0
2
0
0
3
0
5
0
2
2
0
3
0
1
4
4
1
0
1
0
0
4
3
0
4
0
0
5
0
2
0
3
0
0
1
3
0
4
5
0
5
0
0
5
4
0
5
1
3
0
4
2
4
0
0
1
5
2
2
3
2
0
2
0
0
1
3
5
0
1
5
1
3
1
2
4
5
0
4
1
0
2
4
2
0
0
0
5
0
3
0
1
5
1
3
0
0
0
3
0
0
5
0
0
1
2
0
4
1
0
2
5
1
2
5
0
2
0
0
1
3
3
4
3
2
4
0
0
0
3
0
0
1
3
0
5
0
1
0
0
0
1
5
0
3
1
1
3
0
0
0
0
0
3
0
2
1
3
4
0
0
0
0
0
5
4
0
5
0
0
4
1
2
5
0
5
4
0
1
0
5
2
5
0
3
3
0
0
4
0
2
2
0
0
4
0
4
1
0
0
0
0
0
0
1
0
1
0
0
0
3
0
2
4
5
5
4
5
0
3
0
4
4
4
1
0
4
1
0
2
3
2
3
2
0
4
4
0
2
5
5
0
0
4
0
0
0
0
0
3
0
0
5
3
3
3
0
0
0
5
0
0
3
0
0
0
2
3
1
3
3
0
4
0
0
4
0
4
4
0
0
2
0
2
0
1
0
0
0
3
3
0
3
0
0
1
5
0
0
0
5
3
0
0
3
3
0
3
3
4
2
3
0
0
4
3
2
0
0
4
4
0
5
3
0
2
4
0
4
0
4
2
5
1
5
1
1
5
4
3
4
0
0
0
0
1
4
2
0
0
1
0
0
0
1
0
0
3
0
0
0
0
0
3
2
0
0
1
3
0
5
2
2
0
0
0
0
0
1
3
0
5
5
1
0
4
0
0
2
0
1
0
2
0
1
0
1
0
2
2
0
3
1
1
4
2
5
4
0
0
0
0
1
0
3
4
5
1
3
0
4
0
0
0
0
4
2
3
0
0
4
1
0
4
3
0
1
4
4
3
3
1
1
0
0
0
1
3
0
0
0
1
3
3
0
0
3
0
4
4
0
0
0
5
5
0
0
4
5
0
0
2
0
3
5
0
0
0
0
3
2
4
4
4
0
4
2
3
4
0
0
0
4
5
1
0
2
4
0
5
1
0
2
0
0
4
0
5
0
0
3
1
2
1
3
3
3
3
0
2
0
4
0
0
0
0
3
1
4
0
0
0
2
2
0
0
1
4
0
0
0
3
0
4
4
3
4
0
3
0
3
1
0
4
1
4
5
3
1
0
0
0
1
2
2
4
2
5
1
2
0
4
0
3
0
0
2
3
5
3
5
1
3
3
0
0
3
1
5
3
2
0
0
0
1
5
0
0
3
0
0
2
3
1
3
2
5
4
4
0
5
5
3
0
5
4
1
3
0
0
3
0
5
3
0
1
0
4
0
1
0
0
0
2
4
0
0
0
2
0
5
5
0
0
0
3
3
4
0
4
1
4
0
0
2
3
1
0
0
0
0
0
0
0
3
5
3
3
1
2
5
0
0
0
5
2
1
4
0
3
1
5
2
5
0
1
3
0
4
0
0
1
3
0
4
0
0
0
0
4
2
3
1
3
3
0
5
0
3
3
1
5
3
0
2
1
0
4
4
0
1
4
4
4
2
5
0
0
3
0
5
0
0
3
0
2
4
1
0
0
0
5
4
0
0
0
3
4
0
5
4
4
0
2
0
4
0
0
3
2
4
4
0
2
3
0
0
1
0
0
3
3
0
5
2
0
0
0
1
0
0
3
0
0
3
0
2
0
3
0
0
0
0
2
3
0
0
0
0
2
4
0
3
3
0
0
5
1
0
1
0
0
3
0
5
2
0
0
0
0
3
1
0
0
1
5
1
3
0
0
0
0
0
0
0
3
3
0
0
0
1
4
0
0
5
0
4
5
0
1
3
4
5
0
5
1
3
4
3
5
0
1
0
1
0
2
0
5
0
2
1
4
4
3
0
0
0
0
3
0
0
0
0
2
0
0
0
0
2
3
2
4
4
1
4
0
0
2
3
0
0
2
0
3
3
3
2
3
5
5
0
5
0
0
0
1
4
2
4
2
0
5
0
1
0
3
0
3
0
0
0
5
0
0
4
0
0
3
0
3
0
3
2
0
0
5
0
4
1
3
5
4
0
3
5
4
5
1
0
4
0
0
2
2
1
0
4
3
0
0
0
3
1
1
0
0
0
0
5
5
2
0
0
0
3
4
0
4
0
4
2
3
0
5
1
0
0
3
4
3
1
0
0
0
4
3
1
0
1
4
0
0
5
1
3
2
1
2
5
3
1
5
4
1
3
4
0
0
3
1
0
0
0
0
0
5
4
5
2
3
0
0
0
0
0
0
2
1
2
0
0
5
4
3
5
3
2
0
0
3
2
5
5
4
0
5
0
0
0
0
0
0
0
2
1
2
3
2
2
5
2
5
0
4
0
1
0
4
4
3
0
5
0
5
0
1
0
0
0
3
2
0
2
4
0
0
3
2
0
4
0
5
4
1
3
0
0
5
3
1
1
0
0
0
0
5
1
0
0
4
2
0
0
1
2
0
0
5
4
2
4
1
5
3
0
0
5
4
0
5
3
4
0
3
0
0
0
0
0
0
1
0
5
3
0
0
3
0
2
4
2
5
0
4
3
1
0
0
0
0
3
1
5
1
0
0
0
0
4
3
0
2
0
0
0
2
1
0
5
2
0
3
0
1
4
4
1
5
5
2
3
0
3
3
4
0
1
4
3
0
5
1
4
4
3
5
0
0
0
0
1
0
0
4
4
1
0
0
0
2
2
2
1
2
1
0
4
2
3
0
0
0
4
0
0
4
3
1
1
0
4
1
3
4
0
1
5
3
0
3
4
0
2
0
0
4
0
0
1
3
4
4
1
3
0
3
0
2
0
0
4
2
1
1
5
5
3
4
0
2
0
0
0
3
0
3
2
0
2
3
5
5
1
0
0
3
2
3
0
0
0
5
0
1
0
5
0
4
1
5
0
1
4
0
0
3
2
0
5
0
1
0
1
0
0
1
0
5
0
0
2
0
1
4
0
0
0
0
1
0
0
3
0
3
2
0
2
5
3
3
0
0
0
2
0
0
1
3
3
2
3
2
0
1
0
3
4
2
0
5
1
0
2
0
5
1
2
5
5
4
1
3
0
4
0
0
2
0
5
0
0
3
1
0
2
0
3
0
0
3
1
1
0
5
5
0
0
0
3
1
3
2
5
5
0
0
3
0
0
0
0
0
0
1
0
0
4
0
5
0
3
0
1
0
3
3
1
3
1
5
1
3
0
0
2
0
2
1
0
0
0
5
0
1
4
3
0
4
3
3
4
4
5
0
0
5
3
4
1
2
4
3
1
0
5
2
3
0
2
1
1
5
4
0
3
0
3
4
0
0
0
0
0
3
0
3
4
0
0
2
0
0
0
1
0
0
0
5
2
3
3
0
4
1
0
0
3
0
5
0
0
4
0
0
0
0
3
0
4
0
0
0
0
0
3
2
0
0
0
0
4
4
0
4
3
1
1
0
2
0
0
0
2
1
0
4
3
0
0
3
2
2
0
0
4
0
3
3
2
0
1
0
1
4
3
0
0
2
3
3
1
0
5
4
5
0
2
5
0
0
5
3
0
0
3
3
0
4
0
0
0
3
3
0
3
5
0
0
5
5
5
0
0
0
0
2
0
0
0
0
0
0
0
0
3
2
0
0
0
3
0
4
0
5
3
1
4
5
0
1
0
0
5
5
0
0
3
3
0
0
0
2
3
0
0
2
2
1
0
5
0
0
0
0
3
0
0
0
3
4
0
0
0
0
0
3
1
0
0
3
1
0
1
0
4
0
5
0
4
3
0
0
4
0
1
3
4
4
0
4
4
4
3
3
0
2
0
0
0
2
4
1
0
5
2
2
0
1
4
0
4
5
0
2
0
0
0
0
0
1
0
0
1
3
1
0
0
0
0
0
3
2
3
4
0
0
0
1
4
5
1
0
0
0
4
0
4
4
3
0
0
2
0
1
0
0
0
0
2
0
0
0
0
4
5
0
1
0
0
0
2
4
1
2
0
0
1
0
5
4
5
3
2
0
0
5
0
2
0
0
4
3
5
1
5
0
5
0
5
0
0
4
4
2
0
2
4
2
5
0
4
0
4
3
0
0
0
0
0
0
5
0
0
0
0
4
0
0
0
2
1
5
3
2
0
2
1
0
0
5
1
5
1
3
4
5
3
0
3
4
3
0
5
2
4
4
0
2
0
3
3
4
0
1
1
0
0
5
0
3
0
5
0
4
0
0
0
0
1
1
4
0
0
4
0
2
2
1
0
0
4
4
5
0
0
0
3
4
0
1
2
0
1
0
1
2
2
0
3
0
5
5
4
3
2
4
0
0
0
0
0
3
1
4
0
0
0
0
0
3
5
0
0
0
5
0
0
3
0
3
0
0
1
3
4
5
0
0
3
1
0
3
0
0
3
4
4
3
0
2
5
5
3
2
0
0
2
2
4
1
0
5
0
0
0
4
3
0
3
5
0
3
3
0
3
0
5
0
3
0
3
4
1
0
1
0
0
0
3
0
0
3
0
0
2
0
0
3
3
3
0
1
0
0
4
0
3
5
3
4
0
5
0
2
5
0
5
4
3
4
4
3
0
5
3
0
3
0
0
3
5
5
0
0
2
1
0
3
5
4
0
3
4
3
1
1
0
4
4
0
4
0
1
3
5
2
0
0
0
0
0
0
0
4
0
0
0
5
5
4
0
3
2
4
0
0
4
5
5
0
4
2
0
0
3
1
0
0
0
3
0
1
2
5
0
1
3
2
0
5
2
0
1
0
4
1
0
0
2
0
4
3
3
3
3
3
0
3
4
0
2
0
5
3
0
1
3
2
3
3
0
4
2
0
5
3
3
0
1
3
0
0
0
1
4
3
0
3
3
5
0
0
0
1
0
0
0
2
0
3
0
3
1
2
0
2
1
4
0
0
5
4
5
0
2
4
5
1
0
4
4
4
5
1
0
3
0
5
0
2
2
0
4
0
3
5
0
1
0
5
2
0
2
5
0
1
3
0
1
3
4
5
1
0
1
1
0
2
0
0
0
0
0
1
4
4
0
0
0
1
0
2
2
1
1
4
2
3
3
0
0
5
0
5
0
0
0
5
0
3
2
0
0
3
2
2
3
1
0
1
1
0
4
4
0
5
0
1
0
4
0
0
0
0
4
0
0
1
0
0
3
2
0
0
0
0
0
0
3
0
0
0
0
0
2
4
5
1
3
0
4
0
3
4
0
3
3
0
0
5
0
3
3
4
0
0
0
3
3
5
3
2
0
1
5
1
0
0
3
3
1
0
0
4
0
0
0
1
0
2
0
5
2
3
1
0
0
5
5
5
3
2
5
0
0
4
4
5
0
4
0
4
4
3
1
5
0
2
4
0
3
0
0
0
3
0
1
0
4
4
5
0
1
0
5
2
2
0
0
2
5
4
0
2
2
4
0
0
5
0
2
5
5
2
4
3
5
2
0
0
4
5
0
0
2
4
0
3
0
4
4
0
0
0
4
0
0
5
1
1
3
0
0
0
0
0
3
0
1
0
0
0
0
0
1
0
0
0
0
0
4
5
3
5
2
1
0
0
1
0
3
3
0
3
3
5
5
2
4
2
4
1
5
0
5
5
0
0
5
1
2
0
5
0
4
0
0
4
2
4
3
0
0
4
0
2
4
3
0
3
4
2
0
0
4
4
2
4
2
0
4
3
0
4
3
0
0
0
3
3
0
0
1
0
1
0
3
0
5
2
3
3
3
0
0
0
0
0
3
0
2
0
4
4
0
0
2
3
3
4
5
0
0
4
2
0
4
0
3
0
0
3
0
5
0
4
4
0
1
1
2
5
3
0
3
0
0
0
5
0
0
0
0
3
0
1
0
1
0
0
3
5
0
0
5
0
0
3
1
4
4
0
0
0
2
5
0
2
0
3
0
0
0
0
0
0
2
0
5
2
2
3
0
1
0
3
0
0
1
5
0
0
2
0
4
3
0
5
2
4
0
4
5
4
1
4
1
1
1
4
4
4
4
4
0
5
3
0
0
0
0
3
2
2
4
0
3
1
0
0
0
1
0
0
5
0
3
3
5
4
4
4
0
5
3
5
1
2
5
1
0
0
0
0
0
2
0
0
3
4
0
2
0
0
2
0
0
4
4
0
0
0
0
0
2
4
4
3
2
0
0
0
0
0
5
0
3
3
0
0
0
0
0
4
0
0
0
2
0
1
3
0
1
3
0
2
3
2
3
4
0
5
2
0
0
4
4
3
4
5
1
2
1
0
0
0
0
3
5
1
0
0
2
2
3
1
1
5
2
2
2
2
2
0
3
4
3
0
0
5
4
3
2
5
5
0
2
0
4
0
1
5
2
2
3
0
2
0
3
3
5
4
1
0
0
3
2
5
4
0
0
0
2
0
0
0
0
5
3
4
1
1
2
3
0
4
0
0
0
2
0
3
4
2
0
3
3
2
0
3
0
0
0
5
2
0
5
3
5
5
0
2
5
5
0
2
2
1
4
0
4
1
3
0
3
4
5
1
0
1
1
3
5
0
4
0
3
4
2
0
3
0
0
4
0
3
0
0
0
0
0
4
4
4
2
2
0
4
3
3
0
0
4
5
0
0
4
0
3
0
1
4
4
3
5
0
2
5
2
3
0
1
0
0
5
0
0
4
0
0
0
2
2
0
0
1
4
1
2
0
3
5
0
4
2
0
3
2
1
3
0
2
2
2
5
5
0
0
0
5
0
0
0
4
0
0
2
1
0
4
1
0
4
1
0
3
5
0
2
1
0
0
2
3
1
0
5
0
3
0
5
4
1
3
4
2
0
1
3
5
5
2
0
0
4
0
0
5
2
3
0
5
2
3
0
0
5
0
0
1
5
0
1
4
5
4
0
1
1
0
5
0
4
0
0
0
0
0
1
0
0
0
2
0
3
0
1
1
5
4
4
5
0
0
0
0
0
3
0
0
4
2
0
0
0
0
3
0
5
0
3
0
5
4
0
3
0
0
0
2
0
0
4
1
0
0
0
0
4
0
0
0
2
0
1
2
4
1
3
4
5
0
1
2
5
3
0
0
5
0
3
0
2
0
4
0
0
1
0
1
0
0
0
2
2
3
4
4
0
4
2
1
0
2
2
0
0
1
0
2
4
5
0
3
5
4
3
0
0
3
3
3
0
0
1
1
3
0
5
0
5
3
0
1
0
0
0
1
2
0
2
3
0
4
0
0
0
0
0
0
4
0
0
1
0
0
0
0
1
4
0
3
2
1
2
0
5
1
0
4
3
0
0
0
4
0
5
2
3
3
0
5
0
5
4
4
4
0
0
2
1
4
5
1
4
3
4
5
0
0
1
0
1
1
1
0
0
0
0
5
5
0
0
3
0
5
1
2
0
0
3
5
0
0
0
0
0
0
0
4
0
0
5
2
0
4
0
0
4
3
3
2
0
0
2
2
0
0
0
4
0
5
0
4
0
0
3
1
1
4
0
5
1
0
3
4
4
4
5
2
0
1
4
3
2
1
0
0
1
0
5
0
4
5
1
1
0
2
3
0
3
0
0
3
2
4
0
0
0
0
0
5
2
0
3
0
5
0
0
4
3
0
2
3
4
0
5
1
3
4
0
0
3
0
0
0
0
0
5
3
4
0
3
3
1
0
0
5
1
3
4
3
0
0
Answer 8
6%
0
0
0
0
0
2
2
0
1
0
3
0
0
0
0
1
0
1
3
5
2
0
1
0
0
2
5
0
5
3
0
0
0
0
5
2
0
0
1
0
5
0
4
2
1
0
0
4
4
0
0
0
3
0
2
2
2
4
4
4
0
5
5
3
2
0
0
3
0
0
0
0
1
0
0
4
0
0
4
4
3
0
5
0
1
5
0
5
5
1
0
0
5
0
1
0
2
3
2
5
1
1
2
0
1
0
1
2
2
0
0
3
4
4
0
1
0
0
0
3
2
4
0
1
2
3
3
0
2
3
0
1
1
1
1
0
0
0
2
0
2
5
1
0
0
3
1
0
0
0
3
0
1
0
0
2
1
0
2
0
0
5
3
1
0
1
0
0
0
0
2
3
0
0
1
0
3
3
0
1
0
4
0
0
0
2
1
0
0
1
3
3
0
1
0
3
0
5
1
5
1
0
0
5
5
2
0
1
1
0
3
2
1
3
5
2
0
0
4
0
0
0
0
2
2
4
2
0
3
0
3
2
2
2
1
0
3
3
0
2
3
4
5
3
4
1
0
5
0
0
0
0
0
1
4
0
0
2
0
0
1
0
0
0
0
0
3
4
0
0
1
4
3
1
1
2
3
0
0
0
5
0
0
1
0
0
2
0
1
0
0
2
0
0
0
2
3
2
3
0
2
5
0
1
0
1
0
0
2
3
0
2
0
1
5
0
0
0
1
0
0
1
0
1
0
2
0
3
0
1
2
4
3
5
1
3
1
0
0
4
0
5
0
2
0
4
1
2
0
2
0
4
4
4
4
0
3
3
0
0
1
1
5
5
4
0
1
3
0
5
2
0
3
0
5
1
5
5
2
5
5
1
1
0
1
2
0
3
2
0
2
1
4
0
0
2
0
1
5
1
0
3
0
2
0
0
1
0
1
2
1
2
2
0
2
0
2
1
5
2
3
2
1
0
0
0
4
0
3
5
0
5
1
1
2
5
1
0
0
0
2
4
2
2
0
4
0
0
0
4
0
2
0
0
4
4
0
1
1
1
0
2
1
3
0
0
2
3
1
3
0
1
1
0
0
0
0
2
3
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2
0
2
1
0
1
4
0
3
5
0
3
0
0
4
0
2
0
0
2
1
1
2
0
0
4
4
4
2
0
3
4
0
0
4
1
5
1
5
2
5
1
0
0
1
5
0
1
0
3
0
0
0
0
0
2
0
3
3
1
1
0
0
2
2
0
1
0
4
3
1
1
2
0
3
3
0
0
0
2
3
0
0
3
0
0
3
2
0
0
0
5
0
0
1
3
0
5
2
0
0
1
2
4
1
0
2
1
3
0
2
0
1
0
5
0
2
0
4
0
0
4
5
2
0
2
0
4
3
2
0
4
0
0
0
4
4
3
0
0
3
4
1
0
4
0
0
3
5
0
3
5
3
3
0
4
1
0
5
0
3
3
4
0
0
0
0
0
1
3
4
0
5
4
1
2
5
3
3
0
0
1
4
2
0
3
0
3
1
1
0
0
0
0
1
0
0
2
0
2
5
2
0
4
0
0
4
2
0
1
3
1
3
0
0
0
0
0
0
0
3
0
0
1
2
0
2
5
3
0
1
2
5
1
0
1
3
3
2
0
1
3
4
0
0
1
0
1
0
5
0
1
3
4
3
4
4
2
2
0
0
3
1
0
0
1
0
3
3
1
4
3
2
2
5
2
3
0
1
1
0
2
2
0
3
1
0
0
3
0
0
1
2
1
0
0
2
0
2
0
0
1
0
1
0
0
2
0
3
0
2
1
0
0
0
1
2
0
0
0
2
1
0
0
2
1
0
2
1
0
0
0
0
0
5
4
0
2
1
0
0
0
4
5
2
0
0
3
3
1
1
0
1
0
3
3
0
0
1
0
0
0
1
2
2
0
1
4
5
0
0
0
0
0
0
0
0
0
3
5
0
0
0
0
0
0
0
5
5
0
5
1
0
1
2
0
3
4
5
2
1
0
1
3
0
3
0
4
0
4
0
3
1
0
3
2
2
4
0
1
3
3
4
4
0
0
3
1
2
2
5
1
2
1
0
0
2
0
1
0
2
5
3
3
0
0
2
0
4
0
1
4
1
2
0
0
0
2
3
0
2
0
0
0
4
3
0
3
2
0
1
2
0
4
2
2
2
4
0
0
1
2
0
0
2
0
2
5
3
0
2
1
2
0
4
0
1
4
0
3
0
0
Answer 9
4%
0
0
0
0
0
0
1
0
1
0
2
4
0
0
1
3
0
0
0
5
4
0
0
0
1
5
5
0
2
2
0
0
0
0
3
1
0
0
1
0
5
1
5
3
0
4
5
5
3
0
0
0
2
0
2
3
4
1
1
1
0
5
0
1
2
0
0
4
0
0
0
0
0
0
0
2
0
0
2
4
4
0
5
0
0
5
0
5
4
0
0
0
5
0
0
0
0
0
0
5
1
0
2
0
0
0
2
3
4
0
0
0
2
3
0
2
0
0
0
0
1
5
0
0
3
3
0
0
1
3
0
0
1
0
0
5
0
4
0
0
1
5
0
0
0
2
1
0
0
0
0
3
1
0
0
0
0
0
0
0
4
0
3
0
0
1
0
0
0
0
0
0
0
5
0
5
3
1
0
0
0
2
0
0
0
2
1
0
0
0
2
3
0
3
0
0
0
5
2
4
0
0
2
5
2
0
0
4
1
0
1
0
1
2
1
0
0
0
0
0
0
0
0
0
2
5
4
0
3
0
3
5
2
0
0
0
1
3
0
5
0
1
0
0
0
0
5
5
0
2
0
0
0
1
0
0
0
1
0
0
3
0
3
0
0
0
5
0
0
0
1
3
1
0
0
1
2
0
0
0
0
0
2
3
0
0
5
0
1
0
0
1
0
0
0
1
4
2
3
0
3
2
0
1
0
4
0
0
2
4
0
3
0
0
1
0
0
0
1
2
2
1
2
0
0
2
0
1
0
2
0
4
0
5
1
3
0
0
0
5
0
2
0
0
0
5
1
1
0
2
0
0
3
5
0
5
5
0
0
0
3
0
5
5
0
0
1
0
3
4
5
4
0
0
5
2
5
0
1
5
1
0
0
0
1
5
0
0
4
0
0
1
0
0
0
1
2
0
0
0
5
3
0
2
0
0
0
0
0
0
0
0
1
0
0
1
2
1
0
0
4
0
2
0
3
3
0
0
4
5
0
0
1
1
0
0
1
0
0
0
0
5
1
0
0
4
0
5
0
0
3
0
0
0
5
0
0
1
0
1
0
0
3
0
0
0
0
4
2
3
3
3
0
0
0
0
0
0
2
0
0
4
0
0
0
0
0
0
0
0
0
4
0
1
3
0
0
5
0
1
0
0
5
4
0
0
4
0
4
0
0
1
0
2
0
0
1
1
0
1
0
0
0
3
0
5
2
1
0
0
3
3
3
0
0
0
4
0
0
5
3
1
4
0
0
0
1
0
0
3
0
0
0
5
3
0
5
2
0
3
0
0
1
0
0
3
0
0
5
0
0
0
0
0
0
0
5
0
0
5
0
0
1
0
0
0
0
3
0
0
4
2
1
0
1
2
0
1
1
0
0
0
4
3
0
0
2
3
0
0
0
0
5
2
0
3
0
0
1
2
0
2
3
2
3
4
0
1
0
3
0
0
3
4
3
0
4
1
0
0
3
0
0
0
0
0
0
1
0
0
4
0
0
0
2
0
0
1
3
5
0
0
0
0
3
0
0
0
5
3
3
0
1
0
0
0
0
1
0
2
0
0
0
0
0
0
4
0
0
0
1
2
0
3
4
0
0
0
0
1
0
0
0
1
1
0
0
5
0
0
0
0
3
3
0
0
0
5
1
1
1
1
0
1
5
1
0
1
4
0
0
0
0
1
2
0
0
0
3
0
2
0
0
0
0
5
0
1
0
2
2
2
0
0
5
0
0
0
0
0
1
0
0
0
0
0
3
4
3
0
1
0
5
0
0
2
0
0
5
2
0
4
0
1
5
0
0
0
0
3
0
0
0
4
4
0
0
0
1
0
1
0
1
1
4
5
3
1
0
0
0
0
0
3
1
0
1
0
0
3
1
4
0
0
5
0
1
0
3
0
5
3
4
3
0
1
0
0
0
2
5
5
0
2
5
1
0
0
0
1
4
3
0
0
5
0
2
0
0
3
0
0
0
1
0
5
5
0
2
2
3
0
0
4
0
3
0
1
0
0
0
0
0
4
0
1
0
0
0
2
1
0
0
2
3
3
0
4
1
0
0
5
3
2
4
3
0
0
0
2
0
3
0
0
0
0
1
0
0
1
5
1
0
0
0
5
0
0
3
0
0
0
0
5
2
0
0
4
0
0
0
0
0
3
0
0
0
0
5
0
0
5
1
3
0
0
1
2
0
0
1
5
1
2
0
0
4
0
5
1
0
0
1
2
0
5
0
0
0
0
3
3
0
0
0
0
0
3
0
1
0
1
0
5
0
3
4
2
5
0
0
1
0
0
2
0
0
1
0
0
1
0
0
0
0
1
0
2
3
4
1
0
5
2
0
1
0
0
0
1
0
5
0
3
5
0
0
5
2
0
2
0
3
0
0
2
0
0
5
0
1
0
0
0
1
0
0
4
0
1
0
2
0
5
0
0
0
0
4
0
5
1
0
0
0
1
0
4
0
0
0
0
0
0
2
0
2
5
0
0
0
0
0
5
3
0
1
0
0
0
0
5
4
0
0
0
0
5
0
0
0
3
5
1
0
0
0
0
0
0
0
2
1
2
0
0
4
5
3
0
0
2
0
2
0
0
4
2
2
0
5
3
1
0
0
5
1
0
0
0
0
5
4
0
0
0
2
2
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
0
0
0
2
0
3
5
2
0
0
5
0
2
1
0
2
1
4
0
0
5
0
0
0
1
0
1
1
1
0
5
3
0
0
0
0
3
0
0
0
2
0
0
0
4
0
0
0
2
0
1
3
0
0
0
0
0
3
0
1
5
3
5
0
1
2
5
0
3
0
0
3
0
3
0
0
2
3
0
0
3
1
5
0
3
3
0
2
3
5
0
0
0
5
0
0
4
0
0
0
1
0
5
1
0
0
3
3
5
0
0
0
0
5
0
4
0
1
2
0
0
2
0
2
0
2
5
1
3
1
4
5
0
4
3
0
0
0
2
3
0
0
5
0
1
2
5
2
3
0
3
5
0
0
0
0
0
3
0
0
0
0
4
0
1
3
3
0
3
5
0
5
0
0
3
0
0
0
0
0
0
0
1
1
2
1
1
4
3
0
1
1
5
0
2
0
4
4
1
0
2
0
5
0
0
3
0
0
2
0
0
0
0
0
0
1
3
0
1
0
1
1
1
3
0
0
1
1
3
0
0
0
0
0
3
3
0
0
0
1
0
1
1
1
5
0
4
2
1
5
2
5
5
0
3
5
2
0
1
2
5
0
1
0
0
0
0
0
0
2
0
0
0
1
1
2
0
5
4
4
2
0
2
5
0
0
0
0
0
1
0
1
1
0
0
0
0
2
5
0
4
0
0
0
3
1
0
5
5
0
5
1
5
5
0
5
5
5
4
0
0
3
0
1
5
0
4
4
0
1
1
1
2
0
0
0
0
0
0
4
0
0
4
1
0
1
0
0
3
0
1
1
2
0
3
4
3
3
0
0
0
5
0
0
3
4
2
1
0
0
0
2
1
5
1
4
5
0
5
0
0
1
2
0
4
0
0
1
0
1
1
4
3
0
0
0
5
0
0
4
3
2
1
1
5
0
0
3
1
0
0
0
1
0
0
2
0
1
0
5
5
3
0
1
4
1
0
0
3
0
3
0
1
0
1
0
3
2
1
0
1
1
3
0
3
1
0
1
0
0
0
4
0
0
1
0
0
0
0
5
0
0
1
0
0
0
0
0
0
0
0
0
1
5
0
0
0
1
2
0
0
0
3
0
0
0
0
0
0
3
2
0
0
0
0
0
2
1
1
3
0
3
0
5
1
2
0
1
0
5
1
0
1
5
0
2
0
5
0
0
0
0
0
5
0
3
0
2
5
5
5
3
0
2
0
0
0
1
0
1
2
1
3
0
4
2
0
0
0
0
0
0
1
0
0
0
0
5
0
1
0
3
0
5
2
0
0
0
0
2
4
0
0
0
0
0
1
0
0
0
4
1
4
0
1
0
1
1
1
0
0
0
0
0
5
2
3
0
0
0
5
4
0
3
0
0
0
5
0
1
5
2
1
0
0
5
5
1
0
0
0
0
2
0
0
0
0
0
2
0
0
0
4
0
0
0
0
1
3
1
0
2
1
0
0
5
1
1
0
0
0
0
0
2
0
3
4
0
0
0
0
4
0
5
2
0
5
0
0
5
1
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
3
0
3
0
1
0
1
0
0
0
3
0
1
0
0
2
0
0
0
5
5
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
1
0
0
0
0
0
4
1
0
0
0
5
5
0
0
0
0
4
0
0
0
0
0
0
5
3
2
4
0
0
1
2
0
0
4
1
0
2
0
1
0
1
0
0
5
0
0
4
4
4
0
0
0
2
1
0
0
4
0
0
0
5
4
1
0
0
0
0
0
3
2
2
2
0
0
0
0
0
0
0
0
0
2
0
0
0
4
0
5
0
1
0
0
0
0
0
1
2
0
3
0
5
5
2
4
3
0
4
0
0
0
4
2
0
0
0
1
1
0
3
3
0
1
0
0
0
0
5
0
0
0
2
0
2
1
3
1
0
1
0
0
0
2
4
4
1
0
0
0
0
1
2
5
0
0
0
5
0
2
0
3
0
0
1
0
0
0
1
0
0
3
0
0
0
0
0
0
0
0
1
0
0
5
4
1
2
0
0
0
0
0
5
3
3
4
0
0
3
0
2
0
0
0
3
5
1
0
0
5
5
2
1
0
2
5
2
0
0
2
2
3
0
5
0
2
1
0
0
0
0
3
0
0
0
0
0
0
5
0
0
0
0
1
5
0
0
2
3
5
0
0
5
0
0
1
1
0
0
2
0
5
4
4
3
1
1
0
5
0
4
0
1
3
5
0
5
3
0
0
4
0
0
0
1
0
3
0
0
3
0
1
5
0
0
0
0
0
0
1
5
0
0
2
0
0
5
0
0
4
5
0
0
2
0
4
0
1
1
3
0
4
0
5
5
0
4
4
4
4
0
0
0
0
1
0
3
0
4
0
0
0
1
4
5
0
0
3
0
0
0
3
4
0
0
1
3
0
5
0
1
3
1
0
2
4
0
4
1
4
0
4
1
3
5
4
3
0
0
4
2
1
0
0
5
0
0
0
4
0
2
0
4
0
2
4
0
5
3
5
0
5
0
0
4
1
0
0
0
0
2
3
0
0
3
0
0
0
0
0
5
5
0
0
5
0
0
4
0
1
0
0
4
4
5
0
3
0
1
0
3
2
5
1
2
0
5
3
0
3
0
0
1
2
2
0
0
3
1
0
0
5
5
0
0
3
4
5
0
0
3
0
1
3
0
2
5
5
3
0
0
0
0
0
0
0
2
4
0
0
3
5
4
0
0
0
1
0
4
1
5
0
0
5
3
0
0
0
0
0
0
0
2
0
5
1
5
5
0
4
1
0
1
0
0
0
0
3
0
0
0
1
0
0
4
5
5
0
2
0
5
4
0
4
0
0
3
0
0
5
0
4
2
0
0
1
0
3
5
0
0
0
0
0
0
0
1
5
0
0
4
4
2
5
5
0
4
0
0
5
1
0
3
0
5
1
3
1
1
1
3
0
0
3
1
3
5
0
0
0
1
0
3
3
1
5
1
0
0
0
4
0
0
5
0
1
4
0
5
0
5
0
0
0
0
4
2
0
5
5
0
0
1
0
5
1
0
1
3
0
0
0
3
5
0
0
0
1
0
0
0
0
3
0
1
0
3
2
5
3
5
4
0
0
0
2
0
0
0
4
0
0
0
3
0
5
1
0
0
3
1
3
0
1
0
5
1
0
5
0
0
0
0
1
0
0
0
0
0
0
5
0
5
4
5
0
0
0
0
0
0
4
5
0
0
0
0
1
1
0
3
1
0
1
2
1
5
0
1
2
0
0
3
0
0
0
1
0
0
0
1
4
0
5
0
0
0
3
0
0
0
0
0
0
0
0
4
0
0
1
5
0
0
0
5
4
3
0
0
3
1
2
3
0
4
5
0
0
0
0
4
0
0
0
0
0
2
0
4
0
3
1
0
1
0
0
3
1
0
0
2
1
4
0
0
0
0
0
0
5
0
0
1
2
2
0
0
0
0
0
0
5
0
2
0
1
5
0
1
0
0
1
0
0
4
5
0
1
0
1
0
0
0
0
1
4
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
1
0
3
0
0
0
5
4
3
0
3
0
0
0
0
3
4
0
4
3
2
4
2
3
4
4
0
2
5
2
0
2
0
2
1
1
4
0
0
3
1
0
2
2
2
5
0
2
5
4
0
1
1
0
3
4
0
0
0
5
3
3
5
0
4
5
0
0
4
4
0
0
0
2
5
0
0
2
0
1
0
4
0
0
1
0
5
3
0
0
0
0
2
1
0
0
0
1
0
0
0
0
4
4
3
3
0
5
2
1
0
5
0
5
0
0
1
0
5
0
5
0
0
1
0
0
0
0
0
0
0
0
0
1
0
5
0
0
1
0
1
0
0
0
0
5
0
0
5
3
0
0
3
1
5
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
3
1
0
3
0
1
0
0
0
0
1
0
0
5
5
0
0
0
0
0
4
0
3
5
0
0
0
2
3
1
0
0
5
0
0
4
5
0
2
0
0
0
0
0
0
0
1
5
3
3
0
4
4
3
0
0
0
4
0
5
4
0
1
5
1
0
0
0
2
0
5
1
0
3
0
0
0
0
0
0
2
4
1
0
0
0
2
0
0
2
0
0
5
0
0
0
0
0
0
0
3
1
2
1
0
0
0
0
0
5
0
0
3
0
5
0
0
0
5
0
0
0
0
0
1
5
0
0
3
0
5
1
0
0
1
0
0
2
3
0
0
5
5
1
0
1
1
0
0
0
0
0
3
5
0
0
0
3
5
0
1
0
5
5
0
4
3
5
0
5
3
4
0
3
0
1
3
2
2
5
0
0
0
0
0
1
3
4
3
1
0
3
0
5
1
0
2
1
0
0
3
0
1
0
0
5
0
0
0
0
0
2
0
4
0
0
2
3
3
0
3
0
0
0
0
0
0
4
0
0
5
5
1
0
2
0
0
3
3
2
0
5
1
0
5
0
4
0
5
0
0
2
0
0
0
1
2
5
0
2
0
0
5
0
1
1
1
3
0
1
1
2
2
4
0
0
0
0
4
0
0
0
0
0
0
0
1
0
1
2
0
0
1
4
2
4
0
0
1
5
0
4
0
5
0
3
1
5
1
0
0
2
5
0
1
0
2
4
0
0
0
0
4
0
4
0
1
0
0
0
3
2
0
1
0
3
5
0
3
1
0
1
0
0
0
0
0
1
0
0
4
0
0
0
1
0
0
0
4
0
5
1
3
3
0
0
0
0
1
0
0
0
0
2
1
0
0
0
0
0
3
5
0
5
5
2
3
0
5
5
5
5
2
0
2
4
5
0
0
5
0
0
1
3
3
0
0
0
5
0
0
0
0
5
0
3
5
0
5
3
3
0
3
1
0
4
0
5
5
5
0
0
0
0
4
1
1
5
0
3
0
0
3
2
3
4
0
0
1
0
0
0
1
0
0
0
5
0
0
0
0
1
0
0
0
0
2
5
5
0
5
0
0
3
4
5
0
1
0
1
0
0
0
2
0
0
4
2
0
0
0
0
3
1
3
2
0
5
0
5
0
3
2
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
5
3
3
0
1
0
3
0
3
5
5
0
2
0
1
3
4
0
5
1
3
3
0
1
0
1
2
0
3
4
0
1
3
0
0
3
0
0
1
0
0
5
0
0
0
4
0
0
2
0
0
0
0
3
0
5
0
0
1
0
0
0
0
5
0
0
0
0
1
0
0
5
4
0
1
2
0
0
0
0
0
5
1
1
0
0
0
0
0
5
4
5
0
0
0
4
0
4
0
4
0
1
5
0
0
5
0
0
0
2
1
0
0
0
5
2
0
0
0
0
0
0
1
0
0
4
5
0
0
0
0
3
0
0
5
5
0
1
3
0
1
0
0
5
5
5
2
0
0
4
3
0
0
0
2
0
2
5
2
0
0
0
3
0
2
0
0
0
0
1
1
0
0
4
1
0
0
5
1
1
1
0
0
0
0
0
0
5
0
1
2
0
0
1
0
1
0
0
1
1
0
0
0
0
0
2
0
1
0
0
0
1
0
0
2
3
0
2
0
0
0
5
1
4
5
5
0
1
0
0
0
0
0
1
2
0
0
3
1
1
0
0
1
0
4
5
5
0
4
Answer 10
6%
0
0
0
5
5
0
5
0
2
0
4
2
0
2
2
3
0
2
5
5
3
0
0
4
3
2
3
4
4
0
1
4
0
3
3
1
0
0
0
5
5
0
5
2
1
2
0
0
0
0
4
0
3
0
0
1
0
2
3
1
0
4
5
2
1
0
0
5
0
4
0
0
5
0
0
1
0
0
3
4
4
0
5
0
3
5
0
5
4
1
0
0
5
0
3
0
5
0
0
5
0
0
5
5
1
0
0
4
3
0
0
0
5
5
0
2
0
0
1
3
2
5
0
1
5
1
3
0
3
0
1
0
5
0
2
1
0
4
0
4
3
3
1
0
3
4
0
0
0
0
0
1
5
0
0
0
0
0
0
3
0
1
1
1
5
5
0
0
0
0
5
2
0
0
5
0
4
2
0
4
5
2
1
5
0
2
1
5
3
2
5
3
0
3
0
2
0
5
1
5
2
0
0
3
5
0
3
0
0
0
3
0
1
4
5
1
0
3
0
0
0
0
0
0
3
1
4
0
2
0
5
1
3
5
0
1
1
1
0
3
0
2
3
5
0
2
3
5
0
5
4
0
0
2
4
0
0
2
1
3
0
0
0
0
0
0
0
3
0
0
2
3
1
0
1
4
1
0
0
0
0
2
3
5
5
0
0
0
2
0
5
1
0
4
0
2
4
1
3
0
4
5
0
4
0
1
2
2
2
4
5
3
0
0
3
1
0
0
0
1
0
3
2
0
0
1
0
2
0
2
0
5
0
1
1
2
2
0
0
5
0
5
3
1
1
5
5
3
0
2
5
0
1
4
2
0
5
3
0
4
0
1
2
5
3
0
1
2
3
5
4
0
4
5
5
0
3
0
4
3
3
0
0
0
2
5
5
0
5
2
1
1
0
0
0
0
3
1
0
0
0
4
0
2
1
0
3
0
0
4
4
0
1
0
0
0
2
0
4
3
4
0
0
0
0
0
5
0
5
5
3
4
0
1
2
5
5
0
0
0
0
5
4
4
0
5
0
3
2
5
0
0
0
0
1
0
0
4
0
1
0
3
2
2
3
0
3
4
0
1
0
1
0
0
3
0
0
1
3
0
0
5
0
0
5
0
5
0
2
0
1
2
0
4
0
5
0
5
5
2
4
0
5
4
0
0
4
0
1
0
0
1
0
2
0
0
3
3
1
0
0
0
0
5
0
4
5
0
0
0
3
0
0
0
5
0
4
2
0
5
3
2
3
2
0
2
1
0
3
5
0
0
0
5
5
0
1
5
3
3
1
0
4
0
0
0
0
5
5
0
0
2
0
5
0
5
4
4
0
3
0
0
1
0
3
0
0
4
5
0
0
4
0
0
1
5
0
2
1
0
0
1
3
0
3
0
5
5
0
5
0
0
1
3
0
4
2
0
2
2
1
1
4
3
1
2
1
3
0
3
0
0
2
4
3
0
3
5
0
0
4
5
0
0
4
3
0
3
0
0
3
5
0
0
1
0
0
3
0
3
0
0
0
0
0
1
0
0
5
3
0
0
0
3
0
1
0
5
0
2
3
1
1
3
0
1
3
0
0
4
0
1
2
4
5
5
0
0
0
0
0
0
2
1
1
2
0
3
1
3
0
0
5
5
1
1
0
5
1
2
2
0
5
1
3
5
0
1
1
0
2
1
0
5
3
0
0
5
2
0
3
0
5
0
0
5
0
2
5
5
1
2
4
0
3
0
4
0
1
0
3
2
1
3
0
0
1
4
4
3
0
3
3
1
0
2
0
0
1
0
0
3
0
1
4
5
0
1
0
1
0
0
1
1
1
2
0
0
1
0
1
0
1
1
4
0
5
1
0
5
0
0
0
5
2
5
0
0
0
3
3
5
2
1
5
5
2
0
3
3
3
5
5
3
0
1
0
0
0
4
2
5
3
0
5
4
5
0
5
0
3
5
1
0
5
1
5
0
2
0
5
3
3
2
3
4
3
0
0
1
3
0
0
3
2
5
0
5
0
1
0
0
0
5
0
5
1
5
0
1
1
1
1
1
2
1
3
5
3
1
0
5
3
2
2
2
0
2
3
2
0
3
2
3
1
0
1
5
2
0
5
4
3
5
0
0
0
0
4
0
2
5
0
1
2
0
0
4
0
0
3
0
0
5
0
0
0
5
5
0
0
4
1
3
2
0
5
3
3
0
5
0
4
4
0
0
3
1
0
0
3
4
1
3
0
2
0
4
0
0
2
1
0
0
0
0
3
1
5
4
4
1
0
5
0
5
3
2
2
5
3
1
4
0
5
3
0
3
3
0
4
5
2
0
0
2
5
3
5
0
1
0
5
1
5
0
0
3
0
2
0
1
0
3
5
0
0
1
2
0
1
0
4
1
0
1
1
0
2
0
2
0
0
1
2
0
0
5
2
1
1
3
0
0
0
5
3
4
4
0
3
2
0
0
0
4
0
5
2
0
0
5
0
0
0
4
5
5
5
0
4
0
0
5
2
5
5
4
5
3
0
2
3
5
0
0
0
5
0
0
0
4
5
1
0
0
0
4
0
0
0
0
1
3
0
0
4
3
2
1
0
3
0
2
2
0
1
1
5
5
2
3
2
2
0
3
2
0
4
2
0
5
3
3
0
0
2
2
2
2
0
0
4
0
0
1
0
4
0
0
2
0
0
0
0
2
1
2
0
2
2
1
0
2
5
2
0
0
0
0
5
2
5
2
4
4
0
2
1
5
0
0
4
0
1
1
1
2
5
5
0
0
0
3
5
1
0
0
2
0
0
0
0
0
0
4
2
0
4
3
0
0
4
0
0
3
0
3
4
2
5
4
4
3
3
0
3
0
0
0
0
3
0
5
2
4
0
0
4
1
3
0
3
0
5
2
3
5
0
1
0
5
0
0
4
0
0
5
5
4
3
1
0
0
5
4
5
3
0
0
1
5
0
5
0
1
3
3
0
3
2
3
4
1
5
0
2
3
4
1
2
1
4
0
0
0
3
0
5
2
3
0
3
5
5
2
3
2
0
2
0
0
1
4
0
1
0
0
0
1
5
2
3
5
0
0
1
5
0
5
0
0
2
0
0
0
2
0
0
5
3
1
3
0
0
5
5
0
1
0
2
1
1
0
5
0
3
5
2
0
3
0
1
0
0
3
2
0
1
0
0
0
0
2
3
0
3
0
1
1
1
0
5
0
4
3
3
2
0
0
0
0
5
4
0
4
2
1
0
2
1
1
1
0
1
1
1
1
1
1
2
5
1
4
4
0
5
1
5
0
5
0
0
0
0
0
0
2
0
0
1
2
2
4
0
5
3
5
3
0
0
5
0
0
0
4
0
1
3
1
4
0
2
0
0
0
5
0
0
3
3
0
3
2
5
3
1
0
3
5
1
5
0
4
5
5
0
5
0
5
5
1
5
3
0
2
0
3
5
0
5
5
2
0
3
0
0
4
0
1
4
0
0
2
0
0
2
4
2
3
1
0
0
3
5
3
0
0
0
3
0
4
4
2
2
4
2
4
3
2
4
0
3
1
5
0
4
2
0
1
0
0
2
0
0
5
2
5
3
1
1
5
0
0
5
0
4
3
5
5
1
1
5
0
1
4
0
2
0
0
1
0
4
5
0
4
3
5
5
4
0
3
1
1
0
0
0
0
5
0
4
0
3
0
3
2
1
1
0
0
3
0
1
2
0
5
0
0
3
0
0
0
3
0
5
0
0
5
2
4
1
0
0
2
1
0
0
0
5
4
1
5
0
0
0
5
1
5
1
2
3
0
0
0
0
0
1
4
1
0
1
0
0
1
1
1
1
4
0
4
0
4
3
2
1
1
0
4
0
0
4
0
0
0
0
2
0
0
3
4
1
5
0
2
0
3
1
4
5
0
2
2
0
0
5
1
0
2
2
5
1
0
0
3
0
0
3
0
0
0
1
0
0
0
0
5
1
3
0
5
0
5
5
3
0
0
0
1
3
0
0
5
0
0
3
0
0
5
5
5
3
0
5
0
1
3
3
0
5
0
5
0
1
0
5
0
0
3
3
3
0
2
0
0
0
5
0
1
0
5
4
2
0
4
5
0
0
0
5
4
4
0
0
5
0
0
1
0
0
0
1
0
0
0
0
2
5
2
0
1
1
5
0
2
3
0
3
0
5
0
0
0
0
3
1
1
0
3
0
4
0
4
3
0
5
0
0
3
1
5
0
2
0
1
0
4
1
3
4
4
0
0
2
5
0
0
2
2
2
3
0
5
0
1
0
1
0
2
0
3
0
2
0
0
5
0
2
0
1
0
0
3
0
0
0
3
3
0
3
0
0
3
4
5
5
2
0
0
3
0
0
3
1
0
4
0
5
3
0
0
0
2
2
5
0
0
0
3
1
0
4
1
4
0
0
0
1
0
0
2
2
2
3
0
2
4
0
2
0
3
1
0
0
2
1
0
0
0
4
1
0
0
1
0
2
4
3
4
3
0
0
3
0
3
0
3
3
0
0
4
2
0
3
4
3
0
0
1
1
3
0
5
0
5
1
0
1
0
5
3
0
1
4
0
3
0
0
4
4
4
4
2
1
0
0
0
4
3
1
0
0
1
4
2
4
4
4
0
0
0
0
0
5
0
0
0
1
0
2
3
5
3
4
5
3
1
5
1
5
1
2
0
0
0
0
1
2
5
0
0
3
5
0
3
3
2
0
3
2
0
0
0
0
0
5
5
0
0
0
0
4
0
0
0
0
0
4
1
3
1
3
0
0
2
0
1
2
2
3
2
5
0
3
0
4
0
0
0
3
4
1
0
0
5
4
0
3
0
4
4
2
5
0
3
4
0
0
0
0
2
2
1
2
0
0
0
0
4
1
0
5
0
5
5
0
0
0
1
3
0
0
3
3
5
2
0
1
5
0
1
3
0
0
5
0
5
5
0
4
0
1
4
2
2
3
0
2
2
0
0
5
1
0
0
0
0
0
0
1
5
2
0
0
5
0
2
2
0
0
0
2
0
2
3
1
5
1
2
0
0
0
0
1
1
3
1
2
4
0
2
3
1
3
2
5
4
0
0
1
2
4
3
1
4
0
3
0
2
3
0
0
0
0
1
0
0
1
0
3
4
0
2
0
3
0
0
3
0
0
3
3
2
3
0
0
4
1
4
0
5
0
2
0
5
0
0
1
1
3
3
1
0
5
5
5
1
5
4
5
0
0
4
2
2
4
0
4
0
3
2
0
1
4
5
0
5
0
3
5
4
0
0
0
0
3
1
0
0
3
0
0
0
0
0
1
1
1
0
2
0
0
5
0
3
1
3
0
5
3
1
0
0
4
0
4
1
3
2
4
0
3
4
0
5
3
0
4
3
5
3
0
5
2
4
3
5
1
0
0
3
0
4
0
0
1
2
0
2
3
5
0
2
2
0
0
0
0
0
0
0
3
3
0
0
1
5
5
0
0
5
5
0
0
0
3
1
0
5
5
5
0
0
5
0
0
0
4
0
0
0
5
0
0
4
1
0
2
0
0
4
0
4
0
0
0
4
0
3
5
5
5
0
2
0
3
4
0
3
0
0
3
4
1
5
0
4
1
0
0
1
0
5
5
1
1
0
0
0
0
2
3
3
0
0
1
5
1
0
5
1
2
0
0
3
2
1
3
2
5
1
5
0
0
3
3
0
0
2
0
4
0
3
0
3
1
2
4
2
0
5
1
5
5
0
5
0
0
3
0
1
1
3
2
0
4
0
0
0
1
3
2
4
0
2
4
0
2
0
2
1
0
1
2
5
0
0
0
0
4
0
2
1
2
0
0
4
4
0
1
0
3
4
5
5
5
1
0
0
0
0
0
0
0
2
4
0
0
3
3
0
5
0
4
3
1
5
0
1
0
5
4
0
4
0
0
0
1
0
1
5
0
0
3
0
5
0
2
3
5
5
0
4
5
5
0
3
5
5
0
0
3
1
2
0
3
5
4
1
3
4
3
0
5
5
3
0
1
1
1
5
0
3
0
0
1
4
5
5
0
0
2
3
4
1
0
0
0
0
1
0
3
3
0
4
5
0
5
0
5
5
3
2
0
0
2
3
1
0
3
5
0
0
2
0
5
0
0
0
0
0
1
0
4
0
5
2
0
2
0
3
1
1
0
0
0
2
4
0
5
0
5
0
0
5
0
1
1
4
2
0
2
0
3
0
0
4
0
0
4
4
0
0
1
0
0
1
0
0
1
0
0
3
1
0
0
0
0
5
4
0
3
4
0
0
0
2
0
4
0
3
0
0
4
5
0
3
0
0
0
3
0
0
0
0
0
0
0
2
3
3
3
0
0
0
0
5
0
3
1
2
5
5
1
3
0
5
2
3
0
3
0
0
0
0
1
2
0
1
0
1
5
1
0
0
5
1
5
3
1
0
4
3
0
0
4
2
2
2
0
0
0
3
2
3
4
2
0
3
1
0
3
3
0
0
4
5
2
0
5
1
0
5
0
5
0
0
1
0
3
3
0
0
5
0
4
0
0
3
0
1
2
1
0
4
3
2
0
3
0
5
2
3
0
5
0
5
3
4
5
0
4
3
2
0
3
1
1
2
4
1
2
0
0
0
0
1
3
0
0
0
0
0
1
1
3
0
0
3
0
0
4
4
0
0
2
3
5
2
5
0
0
5
1
5
0
0
0
0
0
1
0
0
3
2
0
2
1
4
2
2
0
0
5
0
4
5
2
1
5
4
4
0
4
0
0
4
2
0
0
1
1
0
4
3
4
2
3
4
5
5
5
0
0
0
3
1
5
0
4
2
3
3
0
4
5
5
0
1
0
5
4
3
2
3
2
0
5
0
3
3
2
0
5
4
3
1
3
4
0
0
0
0
2
4
0
0
0
0
1
0
0
1
0
0
5
0
0
2
0
5
0
1
1
1
2
1
5
0
0
0
0
5
0
0
0
4
0
5
0
0
4
0
3
0
1
3
0
1
0
0
2
0
4
3
0
0
0
3
0
1
5
4
0
5
5
0
0
1
2
1
1
0
0
5
4
0
3
0
5
4
5
0
0
1
2
0
1
4
3
2
0
5
3
5
5
5
3
0
4
2
2
5
0
0
2
0
0
2
0
4
5
2
4
4
1
3
5
2
5
3
0
0
5
1
3
4
3
0
5
2
0
0
0
4
2
5
5
3
4
1
1
0
4
1
4
0
1
1
3
4
2
0
4
5
2
0
3
0
0
2
4
1
0
4
2
2
5
0
0
0
2
5
3
1
0
0
0
1
2
5
0
2
0
0
1
0
3
4
5
2
0
1
2
3
3
5
4
2
0
3
5
0
0
0
0
2
5
0
2
1
3
5
0
0
2
4
3
1
5
4
4
0
0
4
0
4
2
0
4
4
0
0
0
5
5
0
5
0
2
0
2
0
0
5
4
0
5
0
3
1
0
2
4
3
0
3
1
4
5
0
2
1
0
1
2
1
0
1
3
3
0
0
1
0
5
5
4
0
2
0
5
0
0
1
4
0
4
5
0
0
4
2
3
0
0
3
0
2
0
2
0
1
0
4
0
4
3
3
1
2
4
5
4
5
5
4
2
5
0
0
2
0
0
0
0
4
2
0
0
5
2
0
0
0
5
0
2
3
0
4
2
3
2
0
3
3
0
5
0
2
3
5
0
0
0
0
2
1
3
5
0
5
2
2
5
0
3
0
0
0
0
0
4
0
3
5
0
0
0
0
0
0
0
1
2
0
3
0
0
3
3
3
5
0
0
3
1
0
0
2
1
2
3
0
5
2
0
1
0
2
0
0
5
3
4
0
5
0
0
5
0
5
0
4
0
0
2
5
5
3
5
2
3
5
5
0
0
1
0
0
2
4
4
1
3
0
5
0
0
0
5
1
0
5
3
0
2
2
2
0
4
4
5
5
0
3
0
1
1
0
3
4
0
3
5
0
0
2
0
5
1
3
3
0
0
0
0
3
0
5
2
3
2
2
0
2
5
5
0
5
5
0
0
0
0
0
0
0
2
0
1
0
0
4
3
0
1
3
0
0
0
0
0
5
1
0
1
2
0
0
0
1
3
2
0
3
3
5
1
3
4
5
0
4
5
0
5
3
0
0
0
3
5
0
0
0
4
2
4
0
0
0
0
0
2
3
0
1
5
0
0
0
0
0
0
0
5
5
0
1
0
0
4
0
0
3
5
5
4
0
0
3
0
0
3
3
0
0
0
5
2
0
0
5
4
0
1
0
4
3
3
3
2
0
0
5
4
0
1
2
1
5
1
0
0
0
0
1
0
2
0
2
3
2
0
4
0
2
0
2
5
1
4
0
5
0
1
5
1
1
0
0
0
3
0
0
3
3
0
1
0
0
0
5
1
2
1
0
0
1
0
0
0
1
4
3
3
1
0
1
1
1
0
2
1
1
3
4
3
5
0
Answer 11
6%
0
0
0
0
0
1
4
0
1
0
2
0
0
0
0
0
0
2
0
5
3
3
0
0
2
1
4
4
2
1
0
0
1
0
4
0
0
3
1
0
4
0
3
4
3
0
0
2
3
0
0
0
3
3
2
1
2
4
3
3
0
5
0
4
1
0
0
0
0
0
3
0
2
0
0
1
1
0
3
2
2
0
4
0
3
5
0
5
3
2
3
0
0
0
1
0
2
0
0
4
0
2
0
0
2
0
0
4
4
0
0
0
4
4
0
2
0
0
1
1
3
5
5
0
1
3
1
0
2
2
0
0
5
0
3
0
0
0
1
0
3
5
1
0
0
3
0
0
0
0
4
0
0
0
0
0
2
0
0
0
1
3
1
1
0
1
0
0
2
0
3
2
0
0
5
0
3
3
0
0
5
1
0
0
0
3
1
0
0
0
5
4
1
2
3
2
0
3
2
2
1
0
0
5
5
4
0
0
2
0
2
0
1
3
2
1
0
0
0
0
0
4
0
0
1
2
3
0
3
0
5
3
3
1
4
1
3
2
1
2
2
3
3
0
4
0
0
1
0
1
0
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5
0
5
0
0
4
0
3
5
0
3
3
3
4
0
3
5
4
0
0
0
0
1
1
2
1
2
3
3
0
0
0
1
0
5
4
1
3
3
0
0
0
0
0
2
0
4
2
0
0
3
0
0
1
0
1
4
1
0
1
2
0
1
1
2
3
4
1
2
2
0
0
0
5
1
0
3
0
0
3
0
0
4
4
0
0
1
0
2
3
0
0
4
0
5
2
1
1
2
0
1
5
4
0
2
4
5
2
0
1
3
0
0
0
0
0
4
5
2
0
0
3
5
3
1
1
2
3
1
4
3
2
2
3
3
0
2
5
3
3
4
2
5
5
0
0
0
0
0
1
0
3
4
2
0
4
1
4
2
1
3
1
0
0
3
1
3
5
2
0
0
0
3
0
0
3
1
3
0
1
4
1
1
0
1
0
0
2
1
0
2
4
1
0
2
4
2
3
3
0
0
0
4
2
0
3
2
4
5
0
0
0
4
0
1
2
2
0
5
3
3
4
5
3
0
0
3
0
2
4
2
3
0
2
0
2
2
3
0
2
0
5
1
0
0
0
0
0
0
0
3
2
3
4
0
0
2
4
4
0
4
4
2
0
0
3
0
2
0
5
2
4
0
0
0
3
4
2
0
0
3
3
3
0
0
5
0
1
3
0
0
3
0
0
2
2
0
2
0
4
5
0
2
1
0
2
4
1
0
0
2
3
0
0
2
0
3
5
4
0
0
0
3
0
0
2
4
1
4
2
5
0
2
0
3
1
0
2
1
2
0
0
0
0
0
5
0
1
0
4
1
1
3
5
2
0
4
3
4
1
2
0
2
0
5
0
5
4
3
0
0
5
2
0
3
0
0
0
2
5
3
3
3
4
3
0
5
1
0
3
0
3
2
0
0
0
5
1
3
1
3
1
0
5
0
1
2
3
3
1
0
0
0
0
0
4
2
0
0
2
5
0
0
0
3
3
0
1
3
0
0
2
1
3
3
0
2
0
2
0
0
3
1
0
0
0
1
0
0
0
1
3
0
0
4
2
1
2
3
0
5
1
0
3
0
0
0
0
0
4
3
4
2
2
0
0
3
0
0
0
0
0
1
3
2
3
2
0
4
0
0
0
5
1
0
0
1
0
2
4
2
0
3
3
2
4
0
4
4
1
1
0
1
2
0
2
3
0
0
4
0
0
1
3
2
0
0
2
0
3
0
0
3
0
0
0
0
4
0
3
0
0
0
4
0
4
0
0
0
0
2
1
0
0
0
3
4
0
3
1
0
0
0
0
0
5
4
0
1
0
0
0
0
4
3
3
5
4
3
4
2
1
2
5
0
2
2
4
0
1
0
0
0
0
3
3
0
0
5
2
0
5
0
0
5
0
2
0
0
2
5
0
0
0
0
0
0
0
5
5
0
5
2
0
4
0
0
5
3
5
4
0
3
2
0
0
2
0
1
0
0
5
3
3
0
5
2
4
3
0
3
1
0
2
2
0
0
5
4
0
1
2
1
4
1
0
0
0
0
2
0
3
1
1
1
0
0
5
0
2
0
0
3
1
1
0
0
4
0
4
1
3
0
0
2
4
0
0
3
3
3
2
0
0
0
5
3
3
5
0
3
1
0
0
0
0
3
2
4
3
0
1
1
1
0
0
0
0
5
5
5
0
0
Answer 12
6%
0
0
0
4
0
0
3
0
1
3
4
5
0
3
3
0
3
1
0
5
2
0
1
0
3
3
3
4
0
0
0
3
0
0
5
4
0
0
3
0
5
5
2
4
4
0
0
3
0
0
0
0
5
0
1
0
5
5
2
2
0
2
0
1
1
0
0
0
0
0
4
2
2
0
4
3
1
0
2
3
4
0
3
0
3
4
0
4
5
2
0
0
3
4
3
0
1
0
1
4
0
1
4
0
3
0
3
3
4
0
3
4
4
2
0
1
0
5
0
3
1
5
0
0
3
3
5
0
2
2
0
1
3
0
4
0
3
0
0
1
2
3
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
0
0
0
3
5
1
1
3
1
0
4
0
3
4
1
0
0
2
0
3
4
0
5
5
1
0
0
0
3
1
0
0
3
4
3
3
2
4
4
5
3
2
2
1
0
0
4
2
5
0
0
0
0
2
4
1
2
4
2
0
4
3
1
0
0
0
0
3
4
2
0
2
0
4
0
5
0
0
0
3
2
0
0
5
1
3
0
1
4
0
5
0
0
0
1
0
4
0
0
0
2
0
1
5
0
0
0
0
0
5
5
5
0
3
5
2
2
1
0
0
0
0
0
5
2
4
2
0
0
3
0
5
0
0
5
0
0
0
3
3
3
3
0
1
3
4
5
0
1
0
0
4
5
0
2
0
1
1
0
0
0
4
3
0
1
0
0
5
1
0
5
5
3
0
2
0
5
3
3
0
0
1
4
0
3
1
4
0
4
1
2
0
3
0
0
4
3
3
2
4
1
0
0
0
2
5
5
5
2
1
0
1
4
2
0
0
4
5
5
3
0
3
4
1
0
0
0
1
5
0
0
1
2
2
3
3
0
4
0
2
5
0
3
3
3
0
3
1
3
2
0
2
4
4
0
3
0
0
1
4
2
0
0
2
0
3
0
0
0
0
0
2
5
0
2
0
1
3
0
2
0
4
0
0
1
4
3
5
3
0
3
0
0
0
0
4
0
5
0
0
4
0
2
1
0
0
0
1
0
0
3
2
2
5
2
2
0
0
0
0
3
2
0
0
2
0
2
5
0
0
0
0
3
0
1
1
4
0
5
1
3
0
2
3
5
3
2
2
0
4
0
2
2
0
1
0
4
4
0
3
5
3
1
0
5
4
4
2
2
2
1
0
0
3
0
3
4
1
0
3
0
0
5
3
5
1
0
0
0
1
2
3
3
0
0
0
3
5
0
0
3
4
4
1
0
4
0
0
2
0
0
2
1
5
0
0
0
3
0
4
5
0
5
1
0
1
0
0
1
0
3
2
5
0
2
0
0
1
5
0
1
1
0
0
3
4
1
0
0
1
0
0
5
1
0
5
1
0
2
0
0
1
3
3
5
3
2
4
5
2
3
0
0
0
0
2
2
3
3
0
2
0
0
3
2
0
0
2
0
0
4
0
0
3
0
0
0
1
0
0
5
2
3
0
3
3
0
0
1
3
3
5
3
1
0
5
0
0
2
0
3
0
2
0
3
3
1
0
2
2
3
2
3
2
5
4
4
3
0
0
0
0
1
1
0
4
3
1
0
0
4
5
0
0
2
3
2
1
0
0
3
4
1
2
3
5
1
2
1
3
4
4
0
0
0
0
1
2
0
0
3
2
0
5
0
1
0
0
5
2
0
5
2
5
1
0
0
5
0
0
0
3
4
1
4
0
1
4
0
3
2
4
2
0
4
2
1
0
5
0
0
0
3
0
4
0
2
4
3
3
5
5
3
0
1
0
3
3
0
0
4
1
0
0
0
2
1
5
0
3
2
5
0
0
0
0
3
2
4
0
0
0
3
3
1
0
2
3
0
0
0
3
0
5
5
3
1
0
3
0
0
0
2
4
2
1
2
3
1
0
3
0
0
3
4
4
2
5
2
3
3
2
0
3
0
0
4
5
2
3
0
0
4
4
0
0
1
3
2
0
1
0
0
0
4
0
0
0
4
0
0
0
1
1
0
3
3
2
5
0
2
3
1
0
1
3
3
2
1
0
2
1
2
0
3
4
0
2
0
3
0
0
2
4
2
0
0
0
5
0
5
4
0
0
0
0
1
3
3
0
3
2
0
4
0
0
5
0
0
0
3
5
0
2
4
4
3
2
4
3
1
0
5
4
5
4
4
0
0
1
0
5
0
4
4
2
3
0
5
0
0
0
0
1
4
0
0
0
0
0
4
2
2
0
1
0
5
0
2
4
1
3
0
0
1
0
0
4
3
0
0
0
0
3
1
3
0
3
0
2
2
5
0
3
4
5
2
4
4
4
0
0
1
0
0
0
2
4
0
4
1
1
0
3
5
2
0
0
4
1
0
5
0
1
0
0
2
4
0
0
4
5
3
2
2
0
0
0
1
0
0
5
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
3
5
0
0
2
3
0
3
1
2
1
2
0
1
0
2
4
5
0
5
0
5
0
0
0
2
3
2
0
0
0
0
0
0
0
0
2
1
0
0
4
2
3
3
0
3
0
3
0
0
4
3
4
5
0
3
0
3
0
2
2
5
2
4
2
3
4
0
0
0
0
1
1
5
0
0
3
0
0
3
0
1
1
0
4
0
0
0
0
4
4
4
0
3
2
2
0
0
5
2
0
0
1
2
4
0
3
5
3
4
5
0
3
0
0
0
3
0
1
2
2
0
3
0
1
0
3
0
2
1
0
1
3
0
5
4
3
0
0
0
1
3
2
5
0
0
5
0
0
4
2
5
5
2
3
3
5
3
3
5
4
0
0
2
3
2
0
0
3
0
4
0
1
3
0
4
0
0
2
1
5
2
0
0
0
2
2
0
3
0
1
5
5
0
3
2
0
0
2
4
3
3
0
0
0
3
4
2
0
1
2
0
3
4
0
4
3
3
3
4
4
2
3
5
1
1
3
3
0
3
4
5
0
2
0
3
3
3
3
0
0
0
0
0
0
0
3
4
1
0
0
0
0
2
2
5
3
4
0
0
4
3
0
3
3
0
3
1
0
3
3
0
0
0
3
0
4
0
0
2
5
0
2
2
3
0
0
0
3
2
5
5
3
0
1
0
1
5
0
0
4
0
3
0
0
0
4
2
2
0
4
0
3
0
1
2
0
0
2
1
0
0
0
0
0
0
4
2
0
3
4
1
5
2
1
1
4
0
3
2
1
3
1
2
4
0
2
2
4
1
4
0
4
0
5
0
0
0
0
0
0
3
0
0
3
2
1
1
0
4
5
1
4
0
2
2
0
0
0
0
0
5
0
1
3
1
5
0
0
1
4
0
5
2
0
2
3
3
5
4
3
3
5
2
3
2
0
1
4
5
3
3
0
1
5
2
4
1
0
2
0
1
1
3
2
1
3
0
0
3
0
0
0
0
4
2
0
4
0
2
2
1
4
2
2
3
3
1
4
1
4
4
3
2
2
3
3
1
2
1
0
1
2
4
3
0
1
3
4
0
4
0
0
3
0
0
5
3
0
1
0
5
3
3
3
0
4
0
2
0
0
4
3
2
1
1
5
4
4
0
3
0
0
0
1
0
0
3
0
2
3
4
5
2
0
1
5
0
0
0
4
0
0
0
1
0
3
0
3
3
1
0
3
3
0
0
3
2
0
3
0
0
0
2
0
0
1
1
3
4
0
5
0
0
3
0
5
0
2
1
0
0
1
0
2
2
0
2
0
2
3
5
4
0
3
0
0
0
0
0
1
4
1
0
2
0
0
3
4
0
1
2
2
3
0
3
3
4
0
2
0
3
3
0
1
0
0
0
0
2
0
0
2
2
0
3
5
2
0
0
3
1
3
5
2
4
0
0
0
3
0
4
1
4
1
0
1
4
0
0
5
0
0
0
2
3
0
4
4
4
0
4
0
1
3
5
1
0
2
0
5
5
2
0
0
0
0
0
1
0
2
4
0
0
4
1
2
3
2
4
4
0
3
1
0
0
5
3
3
1
2
1
0
5
0
4
0
0
5
0
0
3
4
2
5
3
1
5
5
2
0
0
0
0
5
4
2
1
1
0
3
0
0
0
2
0
0
5
0
1
5
1
0
1
1
0
0
1
1
0
0
0
0
0
0
1
0
3
1
2
0
0
0
3
0
3
3
3
0
0
0
2
4
0
1
3
4
5
0
2
1
3
0
3
1
1
4
1
0
0
2
3
4
1
0
2
0
3
0
3
0
3
0
3
3
2
0
4
2
0
3
1
3
2
1
5
0
0
3
4
0
5
2
0
0
5
3
0
5
0
0
2
3
0
0
3
2
0
0
0
5
4
0
0
0
1
5
2
0
0
0
0
0
0
2
2
3
3
0
5
2
0
0
1
4
3
2
3
3
0
1
0
4
2
0
0
0
4
2
0
3
5
3
5
0
0
2
3
0
0
4
3
4
0
3
3
0
0
0
2
4
0
0
2
0
0
5
1
0
0
2
3
1
1
0
3
0
3
0
5
3
0
5
3
0
4
3
1
1
0
4
2
2
2
2
0
3
5
1
0
3
3
1
0
3
2
0
2
2
4
5
1
4
1
0
0
0
0
0
3
4
0
1
0
5
4
0
1
0
0
0
1
4
4
2
0
0
0
0
1
1
2
0
5
1
4
2
3
3
4
0
0
3
0
1
0
0
0
0
3
0
5
0
0
0
1
0
0
0
0
0
5
5
2
2
0
0
1
0
2
4
4
0
1
0
0
5
0
2
3
1
4
2
5
5
3
0
5
5
4
0
0
5
2
2
5
0
5
0
0
0
1
0
1
2
1
0
0
0
0
0
2
0
0
0
0
5
5
0
0
0
0
4
0
0
3
2
3
0
0
5
3
0
1
1
0
5
3
0
3
3
0
2
2
2
3
2
3
3
0
4
4
0
1
0
4
0
0
5
0
3
0
5
0
1
0
2
0
0
0
5
1
0
3
3
2
2
3
3
0
3
2
0
0
4
0
0
2
2
0
1
2
0
2
0
1
3
2
0
3
0
5
5
0
4
4
4
5
2
0
0
0
2
0
0
0
5
0
0
0
1
5
1
0
0
5
0
0
0
0
0
0
4
4
1
4
5
0
3
4
3
5
0
4
0
3
3
5
5
0
3
5
2
5
1
3
0
3
2
1
3
0
5
0
0
0
2
5
0
0
5
0
3
2
0
4
0
3
1
4
0
0
5
3
0
3
0
0
4
5
0
0
4
3
0
0
0
0
1
5
0
0
1
0
0
2
0
4
5
1
5
0
5
0
3
0
4
0
4
0
5
1
4
0
5
3
2
3
0
0
3
0
0
0
0
5
3
0
3
2
2
0
1
3
2
3
0
0
3
1
1
2
0
2
3
1
5
0
0
0
0
0
0
0
3
3
0
5
4
5
2
0
2
3
2
0
0
5
4
0
0
4
2
1
0
0
2
0
0
0
4
0
3
3
3
0
0
4
3
1
4
5
0
4
0
1
0
0
0
2
3
2
3
2
3
0
2
5
5
4
0
5
0
0
5
0
1
3
0
2
4
0
1
3
0
1
4
1
4
1
0
5
0
0
2
1
0
1
5
3
2
3
0
0
4
4
0
0
1
0
3
0
4
1
3
0
2
1
4
0
0
5
0
3
0
4
0
4
2
3
3
4
1
5
4
0
3
0
4
3
0
4
5
2
5
0
5
4
2
0
0
5
0
5
4
2
5
4
0
0
2
0
2
2
2
1
1
0
0
0
0
5
0
0
3
5
0
0
5
0
1
0
3
0
3
1
4
3
2
3
0
0
2
0
0
0
0
3
0
4
5
0
2
0
4
4
0
0
1
5
0
3
2
3
2
5
4
0
2
0
2
4
0
0
0
0
0
0
3
2
2
4
3
0
0
3
1
3
0
3
4
0
0
0
0
4
2
1
3
5
4
2
1
3
3
5
2
5
3
0
0
0
2
1
0
0
3
5
1
3
1
5
0
1
1
3
3
2
5
2
3
0
1
0
5
0
4
0
5
0
2
0
3
2
3
0
0
5
5
4
2
0
1
5
0
0
5
2
4
0
1
0
3
4
2
0
4
0
5
2
0
4
0
1
0
2
0
0
1
4
4
0
4
4
3
0
0
1
0
0
4
5
1
0
1
2
3
0
0
5
0
2
4
1
2
0
2
4
0
0
4
2
2
1
0
2
0
0
0
0
0
3
2
0
0
4
0
0
3
1
0
0
0
0
3
0
0
0
0
1
0
0
0
0
0
3
1
1
0
0
0
0
4
2
3
0
5
0
0
0
0
2
2
0
1
3
5
4
1
3
3
5
0
0
0
5
0
0
0
5
0
5
0
0
0
4
3
0
3
3
4
3
0
0
5
0
2
4
2
3
5
1
2
0
1
1
4
4
4
1
0
3
0
0
4
1
0
3
5
3
3
0
4
0
4
4
0
1
0
1
1
0
3
3
0
0
0
1
1
2
3
0
0
1
2
0
0
3
1
3
0
4
0
2
2
3
0
3
0
5
0
0
4
0
5
4
4
0
5
0
2
5
1
2
5
1
0
0
0
1
0
5
0
0
1
0
1
2
0
0
0
3
0
1
0
1
0
2
4
2
4
1
0
5
0
4
3
0
0
0
4
0
0
0
0
0
0
3
0
1
5
3
1
3
2
3
1
0
4
2
5
0
0
1
0
0
2
0
0
2
2
0
5
1
1
0
4
3
2
4
3
4
3
1
0
0
0
0
1
3
0
0
1
5
5
1
5
2
5
0
0
1
1
4
0
5
1
0
2
3
3
0
5
2
2
0
5
0
3
5
4
0
2
3
0
4
2
5
0
0
2
3
0
0
0
3
0
2
5
4
0
3
0
0
0
0
0
0
4
1
3
0
0
0
0
3
0
4
1
0
0
0
2
0
4
0
0
0
3
0
3
2
0
0
2
0
3
4
0
4
4
0
1
3
0
0
1
5
3
1
0
4
2
1
0
3
0
0
4
5
4
0
0
5
5
3
1
1
4
3
0
2
2
2
0
5
4
3
2
3
2
5
3
1
2
0
3
0
0
0
4
1
0
2
5
2
0
4
2
2
1
1
5
4
0
0
1
3
4
0
0
0
0
0
5
0
5
0
2
1
0
2
1
2
2
0
4
1
0
1
4
2
5
5
0
4
3
5
4
0
4
0
0
0
4
3
0
5
3
3
5
0
0
0
4
4
0
0
2
0
0
5
3
4
3
4
0
0
4
3
1
2
1
2
0
4
3
4
3
2
2
2
0
4
3
0
2
2
0
3
0
0
3
3
3
3
0
0
2
4
1
0
3
0
4
0
0
4
0
3
1
0
4
2
3
0
0
4
4
0
1
0
5
0
3
0
0
3
2
0
5
0
4
5
0
0
2
5
1
1
0
5
3
0
1
0
0
4
5
1
0
0
2
4
0
3
3
0
1
5
5
0
0
0
3
1
0
2
2
1
3
1
5
0
2
0
0
1
0
0
1
3
0
0
4
3
0
4
0
4
0
5
5
0
4
2
4
4
5
0
2
0
1
0
2
4
0
2
5
5
4
0
0
3
1
1
0
0
0
5
4
2
0
4
3
5
3
0
4
1
0
4
0
3
1
0
0
3
0
0
3
2
0
3
0
3
0
3
3
2
3
2
0
1
3
0
3
0
3
0
0
3
2
1
0
0
0
4
0
3
1
0
3
1
1
1
4
0
0
4
4
5
0
2
3
2
0
5
0
0
0
3
0
1
0
0
1
2
2
1
3
3
0
5
0
4
3
2
3
3
3
2
0
4
0
3
0
0
1
0
1
2
0
5
2
3
4
3
4
4
2
4
0
0
3
1
5
5
2
0
3
3
4
0
5
3
2
4
0
2
0
2
3
0
2
2
0
1
2
4
0
5
0
3
1
3
0
0
3
3
0
5
0
2
5
0
0
1
0
0
5
4
0
0
4
0
0
1
0
2
0
0
0
0
2
1
0
2
4
4
2
5
0
0
0
0
0
4
3
3
1
0
0
3
4
5
3
4
0
0
2
1
4
1
2
2
3
2
5
5
4
1
0
0
2
1
4
4
0
0
2
4
0
2
0
0
5
0
1
1
0
3
5
0
0
0
0
5
0
0
4
3
0
4
3
2
4
0
0
5
3
5
5
0
0
1
2
0
3
0
0
0
4
0
3
0
0
5
5
5
3
0
2
1
0
1
4
0
0
4
2
1
5
2
3
3
5
0
0
4
4
5
0
4
3
1
2
0
0
1
3
2
5
0
2
2
1
0
0
0
0
3
5
4
2
0
0
4
0
5
3
4
0
5
0
0
0
1
0
3
5
0
0
2
3
0
1
3
0
2
4
3
0
2
1
3
0
3
2
0
5
5
5
0
0
Answer 13
5%
0
0
3
1
2
0
2
0
2
1
0
3
0
1
2
0
0
2
0
4
2
0
0
4
5
4
4
4
4
0
0
4
0
0
2
5
0
0
1
4
3
0
4
4
2
0
0
2
0
0
0
0
4
0
2
0
4
4
0
1
0
5
0
0
1
0
0
0
0
0
3
1
2
0
5
2
1
0
1
1
2
0
3
0
4
2
5
1
5
0
0
0
1
1
0
0
1
0
1
3
0
0
3
0
2
0
3
2
1
0
2
3
2
1
0
1
0
5
0
3
2
5
0
0
4
3
4
0
1
2
0
1
0
0
4
0
0
0
1
0
3
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
4
1
1
3
1
0
3
0
0
4
3
2
0
2
0
3
4
0
5
0
1
0
0
0
4
1
0
3
0
0
3
0
2
0
3
5
4
3
0
1
2
0
1
2
0
0
2
0
0
0
2
1
1
1
2
0
0
3
0
0
0
0
0
4
4
3
0
1
0
4
0
5
0
0
0
1
3
0
0
4
3
0
0
1
1
3
1
4
0
0
0
0
2
3
0
0
0
0
0
4
0
4
0
0
0
4
1
0
0
2
3
4
3
1
0
0
0
0
0
5
1
0
3
0
0
0
3
5
0
0
3
0
0
0
3
4
3
3
0
2
4
2
3
0
3
0
0
5
5
0
0
0
1
1
0
3
0
5
3
0
1
1
0
0
2
0
5
3
2
2
2
0
2
4
2
0
0
0
3
0
2
1
2
0
2
1
1
0
3
2
0
4
4
1
1
5
0
0
0
3
2
2
5
0
3
1
0
0
3
3
0
1
0
5
4
4
0
2
3
4
0
1
0
1
3
2
0
1
1
3
0
3
0
3
0
0
3
2
3
0
3
0
3
3
0
0
0
0
4
2
0
1
0
3
1
5
2
0
3
1
2
5
0
0
0
0
0
3
5
0
4
0
1
0
0
2
0
5
0
4
1
4
1
2
3
0
0
0
2
1
0
4
0
1
0
0
3
1
2
4
0
0
0
1
0
0
2
1
1
0
2
4
0
0
0
0
2
2
3
0
1
0
0
1
0
0
4
0
0
0
1
0
1
0
5
3
3
0
2
4
3
2
2
0
0
3
0
1
5
0
3
0
4
4
0
0
0
1
2
0
5
5
3
0
4
1
1
0
0
5
0
2
0
0
0
2
0
0
5
3
5
1
0
0
0
5
3
3
2
2
0
0
3
4
0
0
1
4
3
1
0
4
0
0
3
0
0
3
0
0
0
0
0
4
0
4
3
0
3
0
0
4
0
0
0
0
1
5
5
0
1
0
0
2
5
3
1
4
5
3
1
5
0
0
0
5
2
0
5
1
2
2
1
0
1
0
0
5
3
3
1
0
4
1
3
1
4
0
4
0
2
0
1
2
0
0
2
0
0
0
0
0
2
3
5
0
4
0
0
3
0
0
0
3
0
0
4
2
4
0
1
0
0
0
0
3
0
1
2
0
0
4
0
0
2
0
1
0
1
0
2
0
4
0
1
2
5
0
3
0
0
0
5
3
0
3
0
0
0
0
0
3
5
1
1
0
2
1
0
2
3
1
1
0
0
0
2
3
0
1
1
5
1
2
1
2
1
2
0
0
0
0
1
2
0
0
0
0
0
5
0
3
0
0
1
5
0
0
0
4
1
0
0
5
0
0
0
1
0
2
4
0
0
4
0
0
2
4
0
0
1
1
0
0
5
0
0
0
2
0
2
0
2
3
0
2
3
5
4
0
0
1
1
0
0
0
1
1
1
0
0
2
1
3
0
2
1
0
0
0
0
0
1
2
2
0
0
0
3
1
0
0
1
3
5
1
0
3
0
5
5
3
1
0
3
0
0
0
2
3
3
5
0
4
2
0
3
3
1
2
4
0
2
5
0
2
0
2
5
3
1
5
3
5
2
2
0
0
3
3
0
3
2
3
2
0
0
0
0
0
1
0
0
0
0
0
0
0
3
0
4
1
2
2
1
0
1
2
1
0
0
3
3
1
1
3
1
3
4
0
3
3
0
0
0
1
0
0
2
4
2
0
0
0
0
5
5
4
1
5
0
0
1
1
0
0
2
0
0
0
0
0
3
0
0
0
2
3
0
0
3
2
3
1
2
4
3
0
0
4
5
2
5
0
0
2
1
0
0
0
2
3
3
0
2
0
0
0
5
5
1
0
0
0
0
0
1
5
1
0
1
0
3
0
0
4
4
0
0
0
0
0
0
4
5
0
2
0
0
2
3
2
0
0
1
1
2
1
0
1
3
2
0
3
4
2
0
0
0
0
4
0
2
4
3
3
1
1
0
2
4
3
0
0
3
1
0
5
0
1
0
0
0
3
0
1
4
2
1
3
2
0
0
0
0
0
0
4
0
0
1
0
1
0
1
0
0
3
0
0
0
0
0
0
0
3
5
0
3
3
0
0
1
2
5
1
2
3
0
0
2
3
2
0
0
2
5
0
0
0
0
1
2
0
0
0
0
0
0
0
0
2
3
0
3
0
4
3
2
0
2
0
3
4
0
3
3
3
0
3
3
0
2
1
2
0
3
2
0
0
3
0
0
0
0
1
0
1
3
3
0
2
0
0
0
1
0
0
5
4
0
0
0
0
3
4
4
2
3
3
3
0
3
5
1
0
4
0
3
2
0
3
3
3
4
0
0
0
0
0
0
1
0
1
2
3
2
2
0
1
0
2
0
2
1
0
0
3
0
0
4
0
0
2
0
1
0
4
5
0
2
4
0
5
1
0
1
4
0
2
5
5
1
1
0
5
2
0
2
0
1
0
3
0
0
0
0
2
1
3
0
0
0
0
1
4
1
0
0
0
2
0
0
2
0
1
5
5
3
1
1
0
0
2
3
5
2
2
0
0
4
0
1
1
3
3
0
4
2
0
1
0
1
2
4
4
4
2
5
3
3
3
1
3
0
4
5
0
3
0
0
1
2
2
1
2
2
2
2
0
0
2
4
2
0
3
0
0
2
2
4
3
4
0
0
3
3
0
3
0
0
1
1
4
0
1
4
0
0
0
1
3
5
5
2
5
1
2
2
2
0
0
0
4
1
5
5
2
0
1
0
0
4
0
0
5
0
0
0
0
0
0
1
2
0
4
0
4
0
1
2
0
0
0
0
1
2
0
0
0
0
2
3
0
0
3
1
0
0
1
1
0
0
2
1
1
4
2
1
4
0
1
1
5
2
3
0
5
0
5
0
3
5
5
5
0
3
5
0
4
2
0
1
0
3
3
0
5
0
1
2
0
0
0
0
0
5
1
3
0
0
0
0
0
1
3
0
0
0
0
0
1
2
5
0
3
0
5
3
4
2
0
2
5
4
2
1
0
0
5
1
4
1
0
3
0
1
1
3
1
1
1
1
0
0
0
2
0
0
2
3
0
4
0
0
1
0
2
4
3
1
3
1
4
1
0
0
0
2
0
4
3
1
1
1
0
1
2
4
3
0
1
1
4
0
4
0
0
5
0
0
4
0
0
3
0
4
2
5
3
3
5
3
5
0
0
5
3
0
3
4
5
0
3
3
1
0
0
0
4
0
0
2
4
1
4
5
4
0
0
2
5
0
3
0
0
0
0
0
1
0
2
2
2
0
1
0
1
1
4
0
2
3
0
3
0
0
0
4
0
0
0
0
0
0
0
3
4
0
3
0
0
0
0
1
0
0
0
0
2
2
0
3
0
5
2
0
0
1
4
0
0
0
0
0
0
4
1
0
2
0
0
1
4
0
4
3
0
3
0
3
2
2
0
2
0
4
3
0
3
0
0
0
1
3
0
0
2
1
0
3
0
3
0
3
0
1
4
0
1
4
0
0
0
3
0
4
4
1
2
0
2
5
0
0
5
0
0
0
2
0
2
2
0
2
0
3
0
3
0
5
0
0
2
0
0
5
1
4
0
1
0
0
1
2
0
0
3
0
1
0
3
0
0
2
4
0
3
2
0
0
5
4
5
0
0
3
0
4
5
4
0
0
5
4
0
3
1
2
3
5
4
4
3
0
0
0
0
0
3
0
2
1
0
0
2
0
0
3
2
0
0
4
0
1
1
1
0
2
2
0
0
1
0
0
0
0
5
0
0
0
0
3
1
3
0
0
0
0
0
2
2
0
0
0
0
2
1
0
1
1
0
4
0
1
2
0
0
5
0
2
0
1
0
0
2
2
0
0
0
0
0
1
3
2
0
3
0
1
5
1
0
2
2
0
4
1
0
1
0
5
0
0
1
3
5
5
3
0
3
5
0
0
5
0
0
0
2
0
0
3
3
0
0
0
4
2
0
3
0
2
5
1
0
0
0
0
0
0
2
1
3
4
0
0
1
0
2
2
2
3
1
2
2
1
1
0
3
1
0
0
0
4
2
0
3
5
4
5
0
0
3
0
4
0
1
4
0
2
0
3
0
0
0
0
4
0
0
0
0
0
4
2
0
3
0
2
0
0
0
2
0
1
4
5
2
0
0
1
0
4
3
0
3
0
0
1
2
2
3
0
3
0
0
0
2
1
1
0
2
0
0
1
1
2
5
0
3
0
0
0
0
1
0
4
2
0
4
0
4
1
0
1
0
0
0
2
5
4
4
0
0
0
0
0
1
4
0
0
0
3
0
1
1
3
0
0
3
0
0
0
2
0
0
2
0
0
0
0
0
1
0
0
1
0
0
1
5
3
2
0
0
0
0
2
1
1
0
2
0
0
3
0
2
1
0
0
2
2
3
0
0
5
5
2
0
0
4
2
1
0
0
4
0
4
0
0
2
3
3
0
2
0
0
0
3
0
0
0
0
0
2
5
0
0
0
3
3
0
0
3
1
0
0
0
1
1
0
1
1
0
0
3
0
3
3
0
2
1
0
3
1
3
4
0
4
4
0
0
4
4
0
0
5
0
0
0
5
0
0
0
0
3
0
0
5
0
0
0
0
2
2
4
2
0
3
4
0
0
0
0
0
0
1
0
0
3
0
2
0
1
2
2
0
2
0
5
5
0
3
3
1
3
0
0
0
3
2
0
0
0
0
0
0
0
1
0
2
0
0
2
0
0
0
0
5
2
2
2
2
5
5
5
0
2
2
1
0
3
0
3
4
4
0
0
3
5
2
3
1
0
0
1
2
0
3
0
3
0
0
0
2
3
0
0
3
0
3
1
0
3
0
3
0
4
0
0
2
3
2
0
0
0
0
4
0
0
0
0
0
4
0
3
1
2
0
0
1
0
0
1
0
3
5
1
5
0
2
0
0
0
1
0
4
0
4
1
1
0
5
3
0
2
0
0
4
2
0
0
0
3
4
0
3
5
2
0
0
1
4
5
0
0
4
1
0
3
0
3
0
5
3
0
0
0
0
0
0
0
4
2
0
4
1
1
4
0
0
0
3
0
4
3
3
0
0
0
2
0
5
1
0
0
0
0
5
0
0
0
3
0
0
4
3
0
3
4
0
0
1
1
4
0
0
1
4
2
2
4
5
0
2
5
5
5
0
5
0
0
5
3
0
3
4
0
4
0
2
2
0
1
2
0
2
1
4
5
3
0
1
3
0
2
0
2
1
3
0
0
3
0
3
0
1
0
3
0
4
3
3
0
2
1
2
0
0
2
0
2
0
3
0
4
1
0
3
3
1
4
1
0
0
0
3
4
0
2
5
1
2
0
5
0
1
0
4
0
0
2
2
0
0
4
3
4
1
3
0
5
0
3
1
0
0
0
0
5
0
0
2
0
0
3
5
0
2
0
3
0
3
4
4
4
2
4
0
0
2
0
0
0
5
0
0
4
2
1
2
0
3
0
1
0
4
3
5
3
0
3
4
4
2
5
1
0
2
1
0
0
0
0
0
0
4
2
1
2
3
1
0
4
4
4
0
2
3
0
0
0
0
0
1
0
3
5
0
4
0
4
4
3
0
5
0
0
5
0
1
4
0
0
0
4
1
3
3
3
0
0
4
3
0
2
5
1
4
0
1
0
2
0
0
0
5
0
1
0
2
2
4
0
0
5
4
4
2
0
0
5
0
0
5
0
5
2
2
0
0
2
2
0
4
0
3
4
0
5
0
1
0
1
0
0
1
5
3
0
0
2
3
0
3
1
0
0
1
5
0
0
2
0
4
0
0
5
0
0
5
4
1
0
2
0
0
0
0
0
4
1
0
0
2
0
0
0
0
1
0
2
0
3
0
0
0
0
0
0
1
0
0
0
2
0
0
4
0
0
0
0
0
1
0
0
0
0
0
0
3
2
3
0
0
0
0
0
4
1
1
0
3
1
3
2
0
2
3
5
0
3
0
1
5
0
0
5
0
3
0
0
0
4
0
0
3
3
4
4
0
0
3
0
2
3
0
3
3
1
3
3
0
0
4
4
5
1
0
1
0
0
4
2
0
3
0
1
2
0
2
0
0
2
0
1
1
0
0
0
3
3
0
0
0
0
3
0
0
0
0
0
0
0
0
3
1
1
0
3
3
2
2
4
2
2
0
5
0
0
3
0
5
2
1
0
4
0
0
0
1
0
4
2
0
0
0
1
0
5
0
0
2
0
2
0
0
0
0
2
0
0
3
4
0
4
4
2
4
1
0
0
0
2
1
0
0
0
4
0
0
0
0
0
0
2
0
3
3
1
4
0
3
4
5
0
1
0
0
0
0
1
0
0
3
0
1
2
3
0
1
1
1
0
5
3
4
4
2
5
5
2
0
0
0
0
0
2
0
0
1
3
3
1
4
2
4
0
0
0
0
0
0
5
0
0
3
1
2
0
2
3
1
0
5
3
3
5
4
0
1
0
5
0
2
4
3
4
1
2
0
0
0
5
0
1
5
0
0
3
5
0
0
0
0
2
5
1
0
0
0
0
0
2
0
3
0
5
5
0
0
3
5
0
0
0
3
4
4
1
0
0
2
0
3
3
0
5
2
2
1
1
3
0
1
5
0
0
0
3
1
1
0
4
0
0
3
5
4
0
0
4
5
3
1
0
5
3
1
4
1
3
0
3
3
3
0
4
3
3
2
1
5
0
4
0
1
0
4
1
0
1
4
3
0
2
1
2
1
0
5
5
0
0
1
3
1
5
0
0
0
0
4
0
0
3
1
1
0
3
3
2
3
0
5
2
0
3
3
3
0
4
1
2
3
4
3
0
4
0
0
0
3
2
0
5
1
5
4
0
0
0
3
3
0
0
0
0
0
3
3
4
0
4
0
0
4
0
1
1
0
3
0
4
1
3
3
2
0
3
0
0
3
0
1
0
1
0
0
0
2
0
2
1
3
0
1
4
2
0
0
4
3
0
0
3
0
3
0
0
4
1
0
0
0
2
4
0
3
0
0
0
3
5
0
2
0
0
5
0
4
5
0
0
3
4
2
1
0
4
5
0
1
1
2
3
3
0
0
0
4
4
0
3
1
5
1
0
5
0
1
0
3
0
5
2
0
1
3
0
0
3
2
0
0
1
0
0
1
0
0
0
4
3
0
4
0
3
0
3
5
0
5
0
3
4
3
0
1
0
1
0
0
3
0
0
4
5
1
0
0
3
1
0
2
0
0
0
5
2
0
0
0
5
5
0
1
1
0
4
2
3
0
0
0
0
0
1
1
4
0
5
0
3
0
3
2
0
2
4
0
0
3
0
4
0
5
4
0
5
3
0
0
0
5
3
0
0
0
0
0
1
1
0
4
0
1
0
2
0
0
1
1
0
1
5
0
0
0
0
0
0
0
0
2
2
1
2
1
2
0
5
2
2
0
0
0
0
0
1
3
1
2
2
1
0
1
0
1
0
0
0
0
2
1
3
4
3
3
4
0
2
5
1
5
0
1
0
1
2
3
0
2
3
3
5
0
2
0
3
3
0
0
3
0
4
3
2
0
3
0
0
3
3
0
0
0
0
0
5
0
0
4
0
0
0
0
0
5
2
3
0
2
0
0
5
0
1
0
0
0
0
1
3
0
2
4
4
2
4
0
0
0
0
0
4
3
1
4
1
0
0
3
5
2
5
0
0
4
3
3
3
5
2
4
2
1
3
0
0
0
0
0
0
0
3
0
1
1
5
0
1
0
0
0
0
2
0
0
1
5
4
0
0
0
5
0
0
3
5
0
1
3
0
4
0
0
0
3
2
3
0
0
2
3
0
3
0
0
0
4
4
3
0
0
5
4
5
3
0
3
2
2
3
4
0
0
4
3
1
2
4
2
3
1
0
0
4
0
0
0
3
1
3
3
0
0
3
0
2
5
0
0
1
1
0
0
0
0
4
3
4
2
0
0
2
4
0
0
3
0
2
5
0
0
2
0
3
5
0
0
2
0
0
0
4
0
1
1
4
0
0
1
3
0
0
0
0
4
4
3
0
0
Answer 14
6%
2
5
0
5
0
0
4
2
1
0
0
0
0
1
2
0
5
4
0
5
1
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0
0
0
4
0
0
1
1
0
0
0
0
3
0
0
0
0
1
5
0
0
3
0
1
0
1
2
0
0
0
2
4
1
0
0
0
0
3
5
2
5
0
4
3
1
5
0
1
1
5
0
2
0
5
0
1
0
5
0
4
0
2
4
5
0
0
4
4
2
4
0
0
5
2
2
4
2
1
5
4
0
0
0
0
3
3
5
0
3
5
1
4
4
1
0
0
5
3
4
0
0
0
0
1
0
3
0
0
1
0
3
3
0
4
0
4
1
2
0
1
0
0
0
0
0
3
1
0
2
3
4
3
1
4
5
1
2
5
0
4
4
1
3
5
1
0
5
3
3
1
0
4
0
2
0
4
0
2
3
5
3
0
4
0
3
3
0
4
0
4
3
2
2
3
0
0
4
2
1
4
0
0
0
2
4
0
1
0
2
1
0
0
0
0
0
2
2
2
0
1
5
0
0
4
3
0
3
1
5
0
0
3
5
0
3
0
5
4
4
0
3
4
1
0
0
3
1
2
3
5
3
0
5
0
0
2
0
0
0
0
3
4
4
2
0
4
4
0
0
0
0
4
0
5
0
0
2
4
1
0
3
1
3
0
5
3
0
3
1
0
4
3
0
1
3
1
2
4
5
5
0
0
0
3
0
1
3
4
0
3
5
0
0
0
4
1
2
0
0
0
4
0
0
5
1
2
3
0
0
3
0
3
2
0
2
0
4
0
1
3
2
0
3
0
5
1
0
4
3
1
2
4
5
5
3
2
4
1
0
5
2
1
0
0
1
0
4
5
4
0
0
4
5
0
1
3
4
2
0
4
3
1
4
4
4
3
0
3
4
3
2
1
2
0
5
0
0
0
2
1
0
1
1
3
4
2
2
2
3
2
5
2
0
0
3
0
2
0
1
5
0
0
0
0
0
4
2
2
5
2
2
2
1
0
5
2
0
0
5
0
0
4
0
0
5
5
3
0
4
4
0
0
4
4
1
5
1
2
5
0
5
0
4
0
4
0
5
0
0
2
5
5
0
0
0
0
3
2
3
2
5
2
0
2
0
4
0
2
1
3
3
0
2
0
0
1
0
0
0
0
1
2
3
3
0
0
4
5
3
0
0
4
1
4
0
3
1
3
0
3
5
3
4
0
0
1
3
0
3
0
2
3
3
0
0
0
1
0
5
0
4
1
0
0
4
3
1
1
0
4
3
0
2
3
0
3
2
3
0
0
2
2
0
0
2
0
3
5
4
4
0
0
4
5
3
1
4
1
3
4
5
0
0
0
0
2
0
0
1
3
0
0
0
2
0
4
0
3
0
5
5
0
5
5
4
0
1
0
4
1
0
0
4
2
0
0
4
4
3
0
0
2
1
2
0
4
0
0
2
3
0
3
0
2
2
0
3
1
0
4
0
3
3
4
0
0
5
0
5
1
4
3
0
4
4
3
4
3
4
1
0
0
5
0
0
0
4
0
2
0
3
2
0
0
4
2
3
0
1
0
2
1
4
0
4
3
0
5
1
5
0
1
1
2
0
5
0
3
0
2
0
0
0
3
5
3
3
3
2
0
3
5
4
2
0
1
1
0
3
4
4
4
4
3
0
0
0
0
0
1
0
0
1
4
3
5
3
0
4
4
0
0
5
0
2
0
2
0
2
1
3
0
3
1
4
5
0
2
0
4
1
0
0
5
3
1
0
0
0
5
3
0
1
1
0
0
4
0
4
4
0
4
3
0
2
0
0
3
0
4
4
0
0
0
0
0
0
4
0
0
0
0
1
0
0
4
4
5
2
2
0
0
0
0
0
3
3
5
3
0
3
0
0
4
4
5
0
0
3
3
5
1
2
5
0
2
1
2
4
0
0
0
0
0
1
5
0
3
3
5
0
0
0
0
3
3
4
0
5
2
5
2
0
0
0
0
3
0
5
5
0
4
3
3
3
0
5
0
2
2
1
0
0
3
3
0
4
2
1
0
5
3
3
0
0
5
2
5
3
0
1
0
0
1
3
0
0
2
1
0
5
1
3
3
1
1
0
0
3
0
0
4
3
3
3
1
0
5
2
1
5
0
3
0
1
0
0
0
0
3
4
1
0
0
0
3
0
5
4
4
0
5
0
0
5
4
0
3
3
0
4
4
4
0
2
0
1
1
2
3
0
2
0
4
0
0
1
0
4
4
3
0
0
Answer 15
5%
0
0
0
0
0
0
3
0
0
0
1
0
0
3
0
0
0
2
1
2
2
0
0
0
4
5
2
2
1
0
0
0
2
3
2
2
0
0
2
0
3
0
2
4
0
3
0
4
0
1
5
0
1
3
0
0
2
1
0
2
0
2
5
3
3
0
0
0
0
3
0
0
4
0
0
0
0
0
1
1
1
0
2
0
2
2
0
0
3
1
0
3
3
0
2
0
0
0
4
5
0
0
2
0
2
0
5
2
1
0
5
1
5
0
0
1
0
0
1
0
0
4
0
0
0
4
2
0
0
3
2
0
0
0
4
4
0
2
0
0
2
2
4
3
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
4
1
0
0
0
0
3
1
0
1
5
0
1
2
1
4
0
1
0
5
0
2
2
0
1
2
5
3
4
4
0
1
5
2
4
1
1
0
0
3
2
0
0
3
0
0
1
2
0
2
0
1
0
0
0
3
0
0
0
0
1
5
3
0
2
2
3
0
3
0
0
0
1
2
0
0
0
2
0
0
1
3
0
0
0
0
2
0
2
0
2
2
0
3
0
0
0
0
0
0
0
0
0
4
0
0
3
5
2
1
1
0
1
0
0
0
0
1
3
5
3
0
0
0
5
0
0
4
0
4
0
2
3
0
3
5
2
3
0
1
0
1
0
0
2
4
0
2
5
1
3
0
4
0
5
1
1
1
0
0
5
3
0
1
5
1
2
4
0
0
0
1
0
0
3
3
2
3
0
1
2
3
1
4
0
1
0
0
3
3
4
3
2
0
0
3
0
1
3
5
5
3
1
4
0
3
3
0
0
0
4
5
3
0
1
5
5
0
3
0
1
1
1
0
0
0
0
1
0
0
0
1
1
1
0
0
0
4
0
1
1
0
1
0
0
1
5
0
1
0
0
0
0
0
0
0
0
0
4
0
0
4
0
0
1
4
3
3
1
1
3
5
4
0
0
0
0
3
5
2
0
1
5
0
5
5
2
0
0
0
0
0
0
1
0
3
3
0
1
0
1
0
0
2
0
1
0
4
0
0
4
0
1
0
1
0
0
2
3
0
2
0
0
0
0
0
2
3
0
1
3
0
1
2
0
2
5
3
4
3
0
0
2
0
4
0
0
0
0
2
0
0
0
0
5
0
0
0
4
1
0
3
0
3
0
0
2
0
0
0
1
0
3
0
0
5
2
1
0
0
0
0
1
0
2
0
0
0
0
3
3
2
0
5
3
1
0
0
4
0
0
3
0
0
4
0
0
0
0
0
2
0
4
4
3
3
0
0
1
0
0
0
3
0
2
0
0
1
0
0
0
3
4
0
2
0
0
2
3
0
1
0
2
2
0
5
0
0
2
1
0
3
0
0
1
5
0
2
2
1
3
2
1
4
4
0
0
0
2
2
4
0
0
0
0
0
2
0
0
0
2
5
2
3
0
0
1
4
0
0
1
0
0
0
5
5
0
3
0
0
0
0
0
0
5
2
0
0
0
2
0
1
2
1
0
0
4
1
0
0
0
0
1
0
0
0
2
2
3
4
1
0
0
0
0
0
2
0
1
1
1
3
0
1
3
0
0
0
2
1
0
0
5
2
5
1
1
1
0
1
0
2
0
1
3
0
0
0
5
0
4
0
0
0
4
2
1
0
5
0
5
4
0
2
0
5
2
0
0
0
4
0
0
0
1
0
0
4
0
0
0
0
4
4
1
0
0
1
0
0
0
0
0
0
3
0
3
1
0
1
2
0
5
1
0
3
0
0
0
0
1
5
1
1
1
0
0
0
1
2
0
0
4
2
0
0
5
0
0
3
1
5
0
0
2
2
1
4
0
0
1
5
0
0
1
5
4
3
4
0
0
1
0
0
0
2
3
2
0
0
5
3
0
0
0
0
2
3
0
0
4
0
2
0
1
0
3
0
0
3
3
2
4
0
0
1
0
0
0
1
5
1
3
3
0
0
4
0
0
5
0
3
0
0
0
4
1
0
0
1
3
0
0
1
1
0
0
5
1
1
1
0
0
0
0
3
5
0
4
0
0
0
2
0
0
1
2
2
0
1
0
0
0
0
2
0
0
4
0
1
1
0
0
1
2
0
0
0
0
4
0
2
0
3
5
4
5
2
2
2
1
5
3
0
2
5
0
0
0
1
0
0
3
2
0
2
3
0
0
0
0
3
0
0
0
0
3
4
0
0
0
0
0
1
4
0
0
1
0
5
0
3
1
3
2
0
0
0
0
0
5
0
0
2
4
0
2
0
2
0
3
3
4
3
3
0
2
1
5
0
4
5
1
0
0
1
0
2
0
3
4
0
0
4
2
2
3
5
3
0
0
4
1
0
1
0
1
0
0
4
2
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
1
0
0
0
0
2
3
0
1
0
2
2
0
0
0
0
1
2
0
0
2
0
0
1
1
0
5
0
5
2
0
1
2
0
1
0
0
3
1
0
0
1
1
4
5
0
0
0
0
0
0
0
4
0
0
0
4
3
1
2
1
1
0
1
0
2
2
2
2
1
3
2
1
1
0
1
0
4
4
0
0
3
0
0
2
0
4
0
3
5
0
0
0
2
0
3
0
2
0
4
3
0
4
0
0
3
2
1
3
0
0
5
0
1
5
1
0
4
0
4
3
0
0
3
2
3
0
0
1
0
0
0
4
0
3
2
0
0
4
0
1
0
2
3
4
0
0
1
4
0
0
4
0
0
0
5
1
0
1
3
0
0
1
0
0
1
0
2
4
0
4
0
3
5
3
4
3
5
0
1
3
5
0
2
1
0
0
0
3
1
5
0
1
3
0
1
3
0
0
1
0
3
0
0
1
0
0
3
0
0
1
0
4
0
1
2
2
0
0
0
2
1
0
5
0
3
3
0
0
2
0
2
1
1
4
2
3
3
2
3
5
0
4
0
0
3
3
5
0
3
0
0
4
1
2
0
0
0
1
0
0
5
0
4
1
1
0
1
0
2
4
3
3
3
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
1
0
4
1
1
3
1
0
1
4
1
0
5
0
4
0
0
0
2
0
1
0
0
0
0
2
0
0
3
0
0
0
0
0
2
0
3
0
1
0
1
0
0
0
5
0
0
0
0
0
0
0
4
2
0
0
1
2
0
0
1
2
0
0
0
0
2
3
0
3
2
0
0
2
4
4
4
0
2
0
5
0
0
0
0
0
0
2
3
0
1
2
3
5
0
4
3
1
1
0
5
0
0
0
0
0
5
1
1
1
2
0
0
0
0
5
2
0
3
0
4
1
2
2
5
2
1
0
3
1
1
3
0
3
2
3
0
4
0
0
5
1
5
1
0
1
0
3
3
0
5
0
1
0
0
0
0
0
0
0
5
0
0
3
1
0
1
2
4
1
0
0
0
2
1
1
0
0
0
2
0
2
2
0
2
3
0
4
0
2
1
0
2
1
3
0
3
2
5
2
0
0
3
0
0
1
0
1
4
1
1
4
1
0
5
0
0
5
4
5
3
2
5
0
3
1
0
0
2
0
1
0
0
5
0
4
3
1
4
2
0
1
5
0
0
0
0
0
0
0
3
0
1
1
1
4
1
0
0
1
2
0
3
3
0
4
1
1
0
0
2
5
0
3
1
0
0
4
0
2
3
0
0
0
0
1
0
0
4
0
1
1
0
3
0
3
3
0
2
0
2
0
0
0
1
0
1
3
0
0
1
0
0
3
2
3
1
4
0
1
0
0
1
3
0
2
3
2
4
0
1
0
0
3
3
0
0
0
1
4
3
2
3
2
0
1
0
1
5
3
2
0
0
5
2
3
0
5
1
3
1
0
3
4
0
0
3
0
5
0
3
3
0
0
3
2
1
3
0
3
4
2
0
0
0
0
0
0
0
3
0
5
0
1
2
0
0
0
4
0
3
0
5
0
0
0
3
0
5
0
5
0
2
3
4
0
0
1
1
5
1
4
0
0
0
5
0
4
0
1
4
1
0
0
4
0
0
4
3
0
1
0
3
1
0
0
0
0
0
4
1
0
1
0
0
1
1
1
0
2
2
0
1
1
0
0
0
0
5
0
0
5
0
3
1
1
2
0
0
2
0
2
4
0
0
0
0
1
1
4
0
3
4
5
0
0
0
0
0
3
0
4
2
1
0
0
4
1
2
2
0
5
0
3
0
2
0
4
0
1
4
1
0
0
3
5
0
2
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
3
4
0
3
2
0
0
1
1
0
0
0
5
5
0
1
0
3
3
0
0
0
0
2
0
0
5
2
5
0
0
0
0
0
0
3
2
1
0
0
3
2
0
0
0
0
0
0
0
2
1
0
0
1
3
5
0
0
5
1
4
4
1
5
3
0
0
3
0
3
2
3
2
0
0
3
4
0
1
1
3
0
0
1
0
0
3
2
0
1
0
0
1
0
0
1
0
2
4
0
3
1
0
4
0
4
3
3
1
0
0
0
2
1
0
0
0
3
0
1
3
2
4
1
0
0
0
0
0
3
0
0
1
0
0
0
5
0
0
0
2
0
0
0
1
1
1
4
0
0
0
0
1
1
5
0
0
3
0
1
1
2
4
0
3
0
0
0
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
4
1
0
0
1
0
2
2
5
0
1
0
0
1
0
3
3
0
0
3
0
3
0
0
5
5
0
0
0
2
0
0
5
0
3
0
1
0
4
1
1
1
0
0
0
0
0
0
2
3
0
0
3
2
0
0
0
0
0
2
0
0
3
1
3
0
3
2
2
4
3
2
2
0
4
0
3
2
0
3
0
2
2
2
0
3
0
2
3
5
5
5
4
0
2
0
0
0
0
0
0
0
0
0
4
0
0
1
0
0
0
3
2
2
2
1
5
1
3
0
0
0
0
0
5
2
0
1
3
0
3
2
2
3
2
3
1
0
2
3
5
2
0
1
5
0
0
0
0
0
0
4
0
2
0
0
0
3
4
4
3
0
3
0
0
0
2
3
0
0
3
0
2
3
0
0
4
4
5
0
0
0
2
0
5
0
0
1
4
5
3
4
0
0
5
2
0
0
0
3
0
0
0
3
3
3
0
3
0
0
1
0
5
0
1
0
4
3
2
4
1
0
5
0
0
5
2
1
0
1
0
0
0
0
0
5
5
4
0
3
0
0
3
3
4
5
3
5
2
2
0
1
0
0
0
3
1
3
5
5
0
5
3
0
3
2
0
1
5
0
0
2
0
3
0
0
5
4
0
0
3
0
3
0
0
4
1
0
2
1
3
2
0
3
2
0
0
0
0
0
0
3
5
0
3
1
3
3
1
3
3
3
0
5
4
2
0
0
5
1
0
1
4
0
0
0
5
2
0
0
1
3
5
0
0
4
0
3
4
0
4
0
1
0
0
0
3
0
3
3
4
3
5
1
0
3
3
0
3
0
0
3
0
0
0
2
2
2
5
0
4
0
4
5
5
0
2
0
3
0
0
4
4
0
4
0
1
4
0
0
2
5
0
0
2
2
0
3
0
3
1
4
0
0
3
1
3
0
3
0
1
0
2
0
1
3
0
3
2
2
3
2
0
4
0
0
1
0
2
5
0
0
0
2
0
2
0
4
0
0
4
3
0
3
1
0
3
0
1
0
3
2
4
3
0
3
0
0
0
0
0
3
1
1
0
0
0
2
0
4
0
1
1
4
3
3
0
0
1
0
2
0
0
0
0
0
5
0
1
3
0
2
1
4
4
1
2
2
0
0
3
3
0
2
0
3
0
2
0
3
0
2
2
0
0
3
0
1
0
5
4
0
0
0
3
0
4
1
0
0
0
0
2
0
0
3
3
0
1
4
1
5
3
1
3
0
0
0
0
1
0
5
0
0
0
2
1
0
3
0
0
0
2
0
0
0
3
0
0
0
0
2
0
0
0
3
0
3
0
4
2
2
0
0
0
5
2
2
0
0
5
0
0
3
0
4
0
0
0
1
4
2
0
5
0
1
1
0
2
0
0
3
0
0
0
0
1
1
0
0
0
0
0
0
3
0
0
4
0
0
0
0
0
3
0
5
2
0
0
1
5
3
0
1
0
0
0
0
3
1
2
1
0
2
0
0
0
0
4
1
4
5
5
0
0
0
1
0
0
0
2
0
2
0
0
0
3
0
0
0
0
0
0
0
0
3
0
0
0
3
3
1
0
4
0
0
0
0
0
4
0
1
4
1
5
2
4
1
5
0
0
4
5
0
0
0
1
2
1
0
3
0
1
0
0
1
1
0
5
0
0
4
0
0
0
1
2
5
2
1
0
0
4
4
3
0
0
3
2
0
0
0
2
3
0
4
1
0
0
0
0
0
1
0
1
0
0
1
0
3
3
0
0
0
1
3
2
0
0
0
3
0
0
0
3
0
3
0
2
3
5
0
2
2
2
0
5
0
0
4
0
3
4
1
0
5
0
0
3
0
0
0
0
0
0
0
1
0
5
0
0
0
0
2
0
0
0
0
5
5
0
0
2
2
0
3
0
5
2
0
0
0
4
0
5
0
0
3
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
2
1
0
4
0
0
0
2
0
2
2
4
0
0
1
2
0
3
2
1
3
4
3
4
0
5
0
0
0
1
0
0
1
2
0
3
2
0
1
2
0
0
0
0
0
0
5
0
0
2
1
4
0
4
4
4
0
5
2
1
0
4
0
4
4
0
0
1
0
0
2
0
4
0
0
0
2
0
0
3
1
1
2
0
0
0
2
3
0
1
0
0
0
0
0
4
1
0
0
1
0
0
0
0
5
2
0
0
0
0
0
0
3
0
0
2
0
0
4
0
0
1
0
3
2
1
0
0
4
0
0
0
3
3
4
0
4
0
0
3
5
3
0
0
3
3
4
1
0
2
1
0
4
1
1
0
3
2
0
1
1
3
5
5
1
5
0
0
0
0
0
0
0
0
1
0
1
0
2
0
1
4
3
0
2
0
0
5
0
1
0
2
0
0
0
5
0
0
1
3
3
5
0
1
0
1
0
5
0
0
4
1
0
4
4
0
0
2
1
0
2
3
0
0
1
3
2
0
2
1
3
5
0
0
0
2
0
1
0
0
0
0
1
1
4
0
0
0
0
1
0
3
1
5
1
0
4
3
3
0
0
0
3
0
0
0
0
0
0
0
2
0
0
2
1
1
3
0
3
2
3
4
0
0
3
1
0
0
0
0
2
0
0
3
5
2
0
0
4
4
0
0
0
4
0
1
0
0
5
0
0
5
0
4
2
0
0
1
2
0
3
0
2
3
0
1
2
0
0
4
1
0
0
1
0
0
4
1
5
4
5
5
0
0
0
2
0
1
2
4
1
2
2
2
0
3
2
2
2
5
0
1
3
5
0
0
1
5
5
0
5
3
2
1
0
3
1
3
3
5
3
1
1
3
0
2
0
0
0
3
2
4
0
0
1
2
2
0
0
0
0
1
0
0
5
0
1
3
0
1
1
0
2
0
4
2
4
0
0
0
0
1
0
2
0
0
5
5
2
3
3
3
1
0
0
0
0
4
0
3
5
5
1
0
0
0
0
2
1
0
0
0
0
0
3
4
0
2
1
2
0
1
5
0
3
3
1
3
0
0
2
0
0
0
0
0
0
4
2
1
0
3
0
0
1
2
4
0
0
1
1
0
5
0
3
0
2
2
0
4
0
0
0
0
0
2
0
3
1
2
2
3
0
0
0
0
1
5
0
0
0
2
1
3
0
1
1
5
4
0
0
2
1
1
0
1
4
0
1
2
0
4
1
0
2
3
3
0
4
0
0
0
4
0
3
2
3
0
0
0
3
0
1
0
1
4
0
0
0
0
0
0
4
0
0
2
0
0
3
4
0
1
0
0
0
0
0
0
3
1
0
3
1
0
0
0
1
2
3
0
0
0
4
1
5
1
2
0
4
1
5
4
0
0
0
0
0
1
0
0
3
4
2
2
0
0
1
0
1
4
1
0
1
3
5
0
5
0
0
0
0
4
0
0
5
0
0
1
0
3
1
5
3
4
3
0
1
2
0
4
0
0
0
0
0
2
0
0
0
3
4
4
0
0
0
0
2
4
0
3
5
1
1
1
0
0
4
1
0
0
0
0
0
0
2
3
1
1
0
0
3
4
1
0
0
5
0
0
0
0
0
3
2
1
1
0
0
0
2
0
5
0
4
0
0
5
0
0
5
3
3
3
0
0
1
1
0
0
0
0
1
0
3
0
4
2
2
5
0
2
0
4
4
3
0
0
Answer 16
2%
0
0
0
0
0
0
1
0
0
0
4
0
0
1
0
0
0
2
0
4
0
0
0
0
0
0
2
0
1
0
0
0
0
0
3
1
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
3
0
1
0
0
0
1
3
3
0
2
1
0
0
0
0
0
4
0
1
0
0
0
0
0
1
1
0
0
1
2
0
0
0
0
0
0
1
0
4
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
1
0
1
2
0
1
0
1
0
0
0
2
1
0
0
0
2
3
0
1
0
4
0
2
0
0
1
0
0
1
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
3
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
3
1
0
0
0
0
0
0
3
3
1
0
0
0
0
0
0
0
1
0
0
0
2
3
0
2
0
1
1
0
0
0
1
0
0
1
2
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
0
1
0
2
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
0
0
1
2
2
0
2
0
0
0
0
0
3
5
0
0
1
0
0
3
2
0
0
0
0
2
4
0
4
0
2
0
0
0
1
1
0
0
0
2
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
1
0
0
1
0
0
0
0
2
0
1
3
0
0
1
0
2
0
0
0
0
0
4
4
0
1
0
1
1
0
2
0
0
0
0
1
0
2
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
2
0
0
0
1
0
0
1
0
0
2
0
0
3
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
2
3
0
0
0
0
2
0
0
2
2
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
2
0
0
0
5
0
0
0
2
0
0
0
0
0
3
0
0
2
0
0
0
0
0
0
0
0
3
0
0
1
0
0
0
1
0
0
1
0
0
1
0
1
0
0
1
0
0
5
0
0
1
0
0
2
0
0
0
3
0
0
3
0
1
2
0
2
0
3
0
0
0
1
2
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
1
0
0
0
0
0
2
1
4
0
0
0
0
0
0
0
0
2
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
1
0
2
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
4
0
0
1
0
0
0
0
0
1
0
0
3
0
0
0
0
0
1
1
0
0
0
0
1
1
2
0
0
0
1
1
0
1
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0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
4
4
0
1
1
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
1
0
0
1
3
0
0
0
2
0
1
0
0
2
1
0
0
0
0
0
0
0
0
0
2
0
3
0
0
0
0
0
0
0
1
4
0
0
0
0
0
0
0
4
0
1
3
0
0
0
0
0
0
2
1
1
0
0
0
0
2
0
0
1
0
2
1
2
0
0
0
3
0
1
0
1
0
0
1
1
0
0
3
3
0
1
2
0
1
1
0
0
0
0
0
0
1
1
1
1
0
0
2
0
2
0
0
2
0
0
0
0
0
0
2
0
3
0
0
0
2
0
5
3
3
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
0
0
1
3
4
3
0
0
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