bhuku anotsanangura bvunzo «Spiral
Dynamics: Mastering Values, Leadership,
and Change» (ISBN-13: 978-1405133562)
Vatsigiri

Exploring the Nature of Fear: What Do People Fear the Most and Possible Correlation with the Spiral Dynamics

All of us, in one way or another, have fears in our lives. Of course, everyone has fears, but this does not change the essence because their nature is always the same. But still, what do people fear most of all? What is the spirit of fear, and can we fight it?

To answer these questions thoroughly and exhaustively, we would have to write more than one three-volume book because this topic is deep and vast. But we will make a small attempt to clarify these things, in small. And we should start with the definition of fear as such.

What is fear?

Fear is an internal human state caused by a perceived or actual threatened calamity. Psychology views fear as an emotional process with a negative connotation.

According to the American psychologist Carroll Ellis Izard's theory of differential emotions, fear belongs to the basic emotions; in other words, it is innate - its physiological component, facial expressions, and specific subjective experiences have a genetic basis.

Fear drives a person to avoid danger, adjust his behavior in a certain way, and perform various actions that he believes can protect him.

Everyone has their fears: from the banal fear of insects or mice to the fear of poverty and death. There are even phobias - persistent, irrational fears of something. In short, as many people as there are fears. But some fears are common to many people; people fear the same things. Below we have listed the most "popular" fears that concern people all over the world:
  1. trypophobia - fear or disgust of closely packed holes,
  2. acrophobia - fear of heights,
  3. agoraphobia - fear of open spaces,
  4. apeirophobia - fear of eternity,
  5. arachnophobia - fear of spiders,
  6. claustrophobia - fear of enclosed spaces,
  7. emetophobia - fear of vomiting or seeing others being sick,
  8. megalophobia - fear of large objects or things,
  9. thalassophobia - fear of large and deep bodies of water (sea, oceans, pools, or lakes),
see the full list of fears below after the charts.

According to the Spiral Dynamics theory, a person goes through different stages in his development (spiral turns, colors). As the external conditions of life change, so do fears. Is there a connection between a person's fears and their stages of development (spiral turns, colors)? How random or stable is this connection? Mathematics in psychology answers these questions used by Dr. Clare W. Graves, who developed Spiral Dynamics. 

As Ben Yoskovitz, co-author of Lean Analytics, wrote:
“Finding a correlation between two metrics is a good thing. Correlations can help you predict what will happen. But finding the cause of something means you can change it. Usually, causations aren’t simple one-to-one relationships–there are lots of factors at play, but even a degree of causality is valuable.
You prove causality by finding a correlation, then running experiments where you control the other variables and measure the difference. It’s hard to do, but causality is really an analytics superpower–it gives you the power to hack the future.”

Below you can read an abridged version of the results of our VUCA poll “Fears“. The full results of our VUCA poll “Fears“ are available for free in the FAQ section after login or registration.

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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
0
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
0
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
0
3
3
5
2
5
0
5
3
5
5
2
1
5
3
4
0
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
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
0
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
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
0
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
0
1
5
5
0
3
0
0
5
3
2
0
5
5
5
5
3
3
4
5
4
3
1
5
0
5
5
0
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
0
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
0
5
4
1
0
5
5
2
0
2
0
1
2
4
0
4
0
0
5
5
1
2
3
5
0
3
5
0
3
0
3
5
5
5
5
0
4
4
5
5
0
3
2
5
4
0
5
0
5
0
3
0
5
4
0
1
5
0
0
5
0
5
4
0
1
5
5
4
5
4
4
1
1
0
5
4
5
5
5
4
3
5
Answer 2
8%
0
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
0
0
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
0
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
0
3
3
1
2
0
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
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
0
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
0
1
3
3
0
0
0
0
4
1
3
0
3
1
1
0
5
1
0
5
3
5
0
5
3
5
0
5
3
3
0
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
0
2
4
0
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
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
0
1
5
0
0
1
5
0
0
5
1
0
1
1
2
5
3
0
0
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
0
3
5
0
2
0
5
5
2
1
0
0
0
3
5
0
5
5
2
0
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
0
3
1
0
0
2
3
0
5
0
5
1
0
5
1
2
3
0
2
5
5
2
0
4
0
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
0
1
4
1
4
0
1
0
0
0
0
4
4
2
5
1
2
5
5
0
5
0
0
5
0
5
0
5
0
1
0
5
3
0
0
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
0
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
0
3
0
2
0
2
3
0
3
5
2
1
1
3
3
2
5
3
4
3
4
3
1
0
0
4
3
2
5
0
1
5
1
2
4
1
4
2
0
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
0
5
1
2
5
5
0
3
4
5
3
0
2
1
4
3
3
0
1
4
0
4
0
3
0
3
3
1
4
4
0
5
0
1
5
5
3
5
4
0
5
1
2
0
1
0
5
5
5
4
1
0
0
0
1
5
1
0
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
0
2
4
0
0
0
4
2
1
5
2
5
1
4
5
0
4
0
0
1
4
1
0
0
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
0
3
0
0
4
3
5
5
0
3
3
3
4
0
2
2
5
5
5
3
0
3
0
3
5
4
0
5
0
0
4
5
3
5
2
1
2
3
4
5
5
3
0
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
5
0
0
2
3
0
0
0
5
3
0
3
0
4
5
2
0
0
4
5
3
4
0
5
0
0
4
1
0
1
4
1
1
3
2
0
1
4
0
5
0
4
4
0
2
2
1
0
0
0
4
4
4
5
1
5
0
0
0
2
1
2
3
2
5
1
2
0
3
3
0
3
0
2
4
0
5
0
5
4
3
2
1
0
0
3
0
5
5
2
0
1
0
4
0
5
2
2
4
5
3
5
3
1
4
1
0
1
0
0
3
0
5
2
5
4
1
0
4
3
0
3
3
0
0
0
0
4
4
3
2
4
0
5
1
1
0
4
5
0
2
3
0
2
3
2
5
4
0
0
0
0
0
0
0
3
4
5
3
4
2
0
0
5
3
0
1
0
3
1
0
5
2
0
0
0
0
4
0
0
0
0
4
5
1
5
0
0
1
1
0
4
1
2
3
0
0
4
4
1
0
0
4
0
5
3
0
2
5
5
0
4
3
2
3
5
5
4
5
3
0
0
3
4
1
2
3
3
3
5
3
0
2
0
0
4
2
0
0
1
0
1
0
0
3
5
2
3
4
1
1
2
1
3
1
5
5
3
0
3
5
0
5
2
0
0
4
2
5
5
2
5
2
0
0
2
1
0
3
2
5
5
3
1
5
1
0
5
1
1
0
5
0
3
1
5
0
2
1
2
5
3
5
2
3
5
1
0
3
2
3
5
1
0
5
5
3
3
2
4
4
0
0
0
3
2
1
0
3
4
4
0
0
5
3
0
3
0
2
0
0
4
2
5
2
4
4
5
4
0
4
4
5
5
5
0
4
2
0
0
0
5
4
5
3
4
0
5
5
2
4
1
0
3
4
5
2
2
2
2
1
1
5
2
0
4
5
0
2
3
4
4
3
4
3
0
5
5
5
4
1
2
5
3
4
1
5
5
0
3
0
3
1
4
0
0
0
5
4
1
3
3
4
0
5
5
0
5
4
1
5
0
3
0
0
1
3
0
0
2
5
5
3
3
5
5
0
4
0
4
0
5
0
5
0
2
5
5
0
5
4
0
3
0
0
1
0
0
2
0
2
4
0
3
2
0
4
4
3
1
4
2
0
0
0
3
2
3
3
5
3
3
4
5
5
0
0
0
3
2
3
5
5
3
2
0
1
5
2
3
4
3
3
4
0
3
3
1
1
3
2
3
0
4
3
0
0
0
0
0
1
0
5
0
4
1
3
3
5
0
5
0
5
0
3
3
2
0
5
3
0
5
3
4
4
1
1
5
0
1
5
0
2
0
0
0
4
1
5
5
1
0
5
0
5
5
0
2
5
4
0
2
1
5
5
3
3
5
1
5
5
0
5
1
4
3
4
5
0
4
0
2
2
0
0
3
4
0
1
3
0
2
2
2
3
0
1
0
0
3
5
3
4
4
0
0
4
4
1
5
1
2
3
0
4
1
4
2
0
3
3
4
0
5
1
0
0
2
3
2
0
1
0
4
1
0
4
4
1
3
0
3
0
2
4
5
5
2
0
4
1
0
5
5
1
2
5
2
0
0
0
1
0
0
3
0
3
4
2
3
5
3
5
1
2
2
1
4
1
5
0
3
5
5
2
5
1
5
2
4
3
0
0
4
1
2
5
0
2
5
1
0
0
1
0
1
1
0
1
0
0
1
2
0
5
1
0
3
3
2
3
2
2
1
4
0
5
4
4
0
0
0
0
3
0
5
1
0
0
3
1
3
0
1
0
3
2
3
2
5
1
1
4
0
5
3
0
5
2
5
5
1
1
3
5
0
4
2
4
5
3
1
4
1
4
0
2
0
1
5
5
4
5
4
5
0
0
0
0
5
3
3
3
4
4
0
0
3
3
0
1
0
0
0
3
5
0
0
5
2
0
0
3
2
1
3
5
5
5
2
1
5
0
5
0
5
4
5
0
1
0
0
0
0
0
4
1
2
4
0
3
5
4
2
2
3
0
0
4
3
4
2
5
5
3
5
5
5
0
3
2
4
3
3
2
5
1
2
0
5
5
3
0
0
0
1
2
0
2
4
5
0
3
0
2
0
2
0
4
0
1
3
5
4
0
3
1
1
0
0
3
3
5
0
0
0
0
0
0
2
0
0
0
3
1
2
0
2
0
2
4
3
3
3
3
2
5
5
2
1
0
2
0
2
3
3
3
0
3
3
0
0
1
3
2
2
0
2
0
4
4
2
0
0
1
0
5
1
2
4
2
1
1
2
3
0
3
4
5
4
3
4
0
3
2
3
0
5
0
4
4
3
0
5
1
1
4
3
5
5
0
0
0
0
5
1
0
3
5
4
0
0
5
5
0
1
0
3
3
0
0
3
0
1
3
5
1
5
2
0
1
1
3
0
3
5
5
1
4
5
0
0
2
0
1
5
0
5
0
3
4
1
0
0
1
3
5
5
3
0
0
0
4
5
4
5
0
0
4
0
0
5
1
0
2
1
5
0
1
0
5
0
3
0
0
0
1
0
0
0
4
3
3
3
3
2
0
0
5
5
1
5
0
3
0
5
2
4
3
4
3
1
5
0
3
5
5
5
0
4
3
0
0
1
3
5
5
4
5
0
1
5
5
0
1
0
3
1
0
3
5
4
1
1
5
5
4
0
2
0
3
1
5
0
4
0
5
5
4
0
0
4
5
0
3
3
4
0
3
4
0
4
5
0
0
5
5
1
2
2
0
2
0
1
0
3
0
1
0
1
4
0
5
0
5
4
0
0
5
4
2
4
1
3
3
0
0
0
2
1
1
4
3
5
4
5
1
5
0
2
0
2
3
4
3
5
0
5
3
4
1
0
0
0
2
3
3
2
0
0
1
0
2
3
5
2
5
5
5
0
0
4
1
3
0
5
3
4
1
0
0
5
5
0
1
3
0
1
3
0
0
2
4
4
5
2
3
3
1
1
3
5
3
4
5
0
3
1
5
0
2
2
0
0
5
5
5
0
0
0
0
4
1
0
0
2
2
0
2
0
2
0
4
2
3
2
0
3
2
1
5
2
5
0
2
3
5
0
2
3
5
5
3
0
2
3
2
0
3
2
3
1
2
0
0
0
4
3
3
0
0
0
5
0
0
4
2
5
1
0
3
5
0
0
4
3
0
4
1
4
2
5
2
4
3
5
4
5
0
2
5
5
3
2
5
3
0
1
1
5
1
5
0
0
3
3
4
2
2
5
0
0
5
3
3
0
5
2
5
5
5
5
2
0
5
4
0
5
1
5
3
5
0
0
1
3
0
3
5
1
0
3
0
5
0
2
0
2
0
0
3
4
0
0
5
0
1
4
3
3
4
5
0
4
4
3
4
4
5
4
5
0
5
4
5
5
4
5
5
4
2
5
5
3
0
2
2
2
4
5
3
3
1
4
3
5
2
0
5
3
0
5
2
2
5
5
4
0
3
3
2
1
0
0
4
5
0
1
3
5
4
0
0
3
3
5
0
3
5
5
4
2
5
4
0
5
1
1
0
3
0
3
0
4
2
5
0
0
4
1
0
4
2
2
3
0
3
5
5
5
2
0
3
2
5
1
3
5
1
4
5
4
2
0
5
3
5
1
1
4
4
5
0
4
3
0
5
5
5
0
0
2
5
5
0
3
4
0
2
1
2
3
2
5
0
0
1
1
0
0
1
0
3
4
5
2
4
2
5
4
3
0
3
0
5
1
5
0
5
0
1
3
2
5
3
2
3
1
5
4
5
5
5
1
2
1
4
4
1
5
0
3
5
5
0
2
3
5
0
2
5
4
2
5
2
5
1
0
5
3
1
1
0
3
2
0
0
1
5
4
3
5
3
2
3
2
5
1
4
5
2
5
5
4
0
3
1
5
0
3
0
4
3
0
2
2
0
4
0
1
2
1
3
0
1
0
5
1
4
5
4
3
0
1
0
0
5
5
4
4
0
3
0
0
5
5
5
0
4
4
3
5
5
5
0
0
1
3
0
5
3
2
5
1
2
4
0
5
5
5
3
5
0
0
3
0
2
5
0
5
5
1
4
0
3
5
5
5
0
1
5
2
3
5
1
0
0
1
0
3
0
4
3
5
5
5
0
5
4
3
0
0
5
3
5
5
1
5
5
0
0
2
0
5
0
4
0
4
3
4
0
0
2
2
2
4
0
2
1
3
0
5
0
0
0
3
5
3
0
1
0
0
0
2
3
0
4
3
5
0
3
5
3
3
1
5
0
0
5
5
3
4
3
0
5
5
1
2
0
5
0
0
2
3
0
0
2
2
3
3
0
4
5
0
0
1
4
5
2
0
0
0
0
1
2
2
2
4
0
0
0
0
2
0
2
0
0
5
0
0
5
5
3
5
1
3
0
0
3
4
0
3
5
0
5
5
5
3
5
3
2
5
3
3
5
1
4
1
0
2
3
3
3
4
5
5
4
0
3
1
2
3
0
0
3
0
3
4
3
4
1
5
4
0
0
2
4
2
1
3
5
2
2
1
5
5
1
3
0
3
0
3
0
0
5
0
1
1
5
0
1
5
0
3
3
4
0
0
1
5
2
0
1
0
1
5
0
0
3
1
4
0
0
3
5
3
1
0
4
1
3
5
5
2
3
5
1
4
0
0
4
0
2
0
3
3
3
0
2
2
3
1
4
0
0
0
0
5
1
0
1
1
4
5
1
5
0
0
0
4
5
3
2
3
0
1
5
4
5
0
5
0
1
4
0
0
0
2
0
0
0
4
4
0
2
2
0
4
5
0
5
1
0
1
5
0
0
5
3
2
3
2
0
0
1
5
0
5
5
0
5
Answer 3
7%
3
0
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
0
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
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
0
5
3
1
2
0
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
0
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
0
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
0
3
3
3
0
2
0
0
5
2
2
1
0
0
1
0
1
0
0
3
1
5
3
2
5
0
0
5
4
0
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
0
1
3
0
2
0
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
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
0
1
4
0
4
1
1
0
0
5
2
0
1
4
4
5
4
0
0
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
0
4
0
2
1
3
0
1
0
0
0
0
4
4
0
5
2
0
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
0
1
2
0
0
5
5
2
0
2
5
0
3
4
3
4
2
2
4
5
1
0
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
0
3
3
0
0
5
0
0
0
0
1
3
2
3
3
3
5
3
0
3
0
5
5
5
0
0
4
0
2
0
0
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
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
0
1
0
0
3
0
2
3
0
0
3
1
0
0
3
0
0
3
3
2
0
0
0
0
0
3
1
2
0
1
5
1
1
5
0
3
1
0
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
0
4
1
1
4
2
5
0
4
3
4
0
3
1
0
2
3
0
0
2
0
0
0
5
0
3
0
1
0
0
0
2
0
0
0
3
5
4
0
2
3
1
0
0
5
0
0
2
5
0
0
0
0
0
4
4
4
2
0
0
0
3
2
5
4
0
0
0
3
0
3
0
2
3
0
5
1
0
5
0
0
1
0
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
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
0
3
0
0
3
0
5
3
5
0
0
3
5
0
2
2
3
5
3
0
0
4
0
1
5
0
4
3
0
0
3
4
1
2
2
3
0
4
0
5
5
1
0
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
0
3
1
5
4
2
0
4
4
3
0
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
0
4
0
2
5
1
0
2
0
0
0
4
3
0
3
0
3
4
0
2
3
1
2
1
4
1
0
0
3
2
5
4
4
0
3
4
0
0
3
0
0
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
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
0
4
3
0
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
0
3
0
5
4
5
0
4
1
0
0
1
5
1
0
4
2
5
0
3
5
0
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
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
0
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
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
0
3
2
0
0
4
0
3
1
0
4
0
4
3
2
4
0
0
0
3
3
2
0
5
0
0
0
4
1
0
0
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
0
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
0
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
0
2
2
0
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
0
2
0
0
0
3
5
0
1
3
5
2
1
3
0
2
5
4
0
0
4
3
0
2
1
0
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
0
1
0
1
0
0
2
0
3
2
4
0
3
0
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
0
3
1
1
3
3
5
0
0
3
0
0
3
0
0
0
0
3
0
0
4
2
0
0
2
0
0
0
5
3
0
3
0
5
5
4
0
4
3
3
0
3
0
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
0
4
2
0
0
3
4
2
0
0
0
4
0
0
4
0
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
0
4
4
3
0
0
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
0
3
4
1
0
0
0
0
2
0
5
3
0
0
1
4
0
5
3
0
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
0
1
2
5
5
3
0
0
3
0
0
0
1
2
0
0
0
1
0
0
5
0
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
0
1
4
0
4
3
0
5
0
5
0
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
0
4
0
1
0
0
0
1
3
1
1
0
0
4
0
0
4
1
2
5
3
3
2
0
0
0
2
0
0
5
3
3
3
2
2
5
0
5
0
1
2
2
2
0
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
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
0
2
0
1
0
1
3
5
5
3
0
2
4
3
0
4
1
3
0
0
0
0
0
3
2
5
0
0
0
0
0
0
5
3
2
0
0
5
5
4
0
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
0
4
1
3
2
1
0
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
0
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
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
0
1
0
0
0
1
0
4
4
3
1
1
0
1
2
4
0
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
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
0
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
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
0
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
0
4
1
2
0
0
0
0
2
0
0
1
1
1
0
0
3
5
4
4
2
0
0
0
3
5
0
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
0
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
0
4
0
2
5
1
0
4
5
5
0
4
0
0
0
3
4
3
0
2
0
0
3
1
3
5
0
0
0
4
0
1
4
0
3
5
4
0
0
2
0
1
2
0
3
0
4
0
0
0
4
4
0
0
2
0
0
5
0
4
1
0
3
0
0
0
3
0
0
2
3
0
0
2
3
0
3
0
0
5
Answer 4
8%
3
0
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
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
0
2
0
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
0
1
1
0
3
0
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
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
0
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
0
1
5
5
0
4
1
0
3
5
3
5
0
2
4
0
1
0
5
5
3
5
0
4
3
0
0
5
0
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
0
2
1
0
2
0
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
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
0
5
0
2
2
2
5
0
1
4
3
0
0
1
3
0
0
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
0
1
3
0
2
0
5
0
3
1
0
4
4
1
0
0
5
0
2
0
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
0
4
3
0
0
3
5
0
4
0
4
0
0
3
0
4
4
3
1
0
3
3
1
0
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
0
3
5
1
3
0
0
0
0
0
0
5
5
1
2
5
4
5
3
0
3
1
0
3
0
0
0
4
0
5
4
0
2
0
1
0
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
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
0
4
0
2
1
3
5
0
4
1
0
1
1
0
0
4
0
3
2
4
1
0
4
0
0
4
0
3
3
0
5
3
3
0
2
5
3
4
0
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
0
4
3
3
1
5
5
1
4
3
1
0
3
4
3
0
0
4
4
3
0
5
4
5
0
5
0
5
0
0
0
5
2
4
5
4
3
2
3
1
5
5
0
4
3
0
0
4
4
3
2
0
0
0
2
4
5
0
0
0
4
2
1
2
5
0
0
5
3
0
4
0
2
3
1
3
3
0
3
5
0
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
0
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
0
5
0
0
3
3
5
5
0
0
3
4
0
1
4
3
4
0
3
3
0
0
0
3
0
5
0
3
0
0
2
5
1
1
0
3
2
4
0
5
5
1
1
0
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
0
3
0
5
0
3
5
2
4
2
0
2
4
1
0
5
0
5
0
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
0
3
0
3
3
1
0
0
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
0
3
1
0
4
5
0
0
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
0
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
0
4
3
0
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
0
4
5
4
2
4
3
5
5
0
0
2
3
1
1
3
2
2
2
4
3
3
0
5
2
3
0
2
4
3
1
5
2
0
4
5
0
1
3
4
5
4
0
5
3
0
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
0
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
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
0
1
2
0
2
0
5
2
3
0
0
0
5
1
2
5
0
5
0
2
4
4
2
3
0
3
0
3
5
0
0
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
0
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
0
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
0
4
3
0
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
0
3
0
2
0
3
5
0
3
3
1
3
0
5
0
5
0
3
4
4
0
2
3
0
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
0
2
0
3
3
3
3
3
1
1
5
5
5
5
0
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
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
0
3
3
3
4
5
5
5
4
0
3
0
2
1
2
0
4
0
4
0
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
0
4
1
3
0
3
3
0
0
1
0
3
0
0
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
0
1
3
3
3
0
0
0
1
3
2
3
4
5
0
1
1
4
0
2
3
3
4
4
0
0
5
0
2
1
5
0
5
3
5
0
0
0
5
3
0
0
4
2
0
5
2
0
5
0
5
0
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
0
4
5
4
5
1
4
0
2
5
0
3
3
3
2
0
0
0
3
0
3
0
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
0
3
4
0
2
2
0
0
0
5
0
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
0
4
0
1
4
0
5
3
3
3
5
0
0
2
0
0
1
2
4
0
3
0
0
0
0
4
4
2
0
3
3
3
3
3
0
5
0
1
5
3
4
3
4
5
0
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
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
0
4
0
1
3
4
3
4
2
3
0
2
2
5
0
3
4
3
3
0
4
0
5
2
0
3
0
0
0
2
0
0
2
1
3
4
3
2
2
0
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
0
5
4
4
4
3
0
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
0
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
0
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
0
5
3
0
0
1
0
5
2
4
1
4
0
5
3
4
0
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
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
0
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
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
0
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
0
5
5
0
5
0
5
0
0
1
0
2
1
0
4
2
0
4
4
3
5
0
5
0
0
4
0
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
0
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
0
4
2
1
0
5
0
3
0
3
0
0
0
1
0
3
5
3
5
5
0
3
0
2
0
2
4
0
4
0
4
4
4
5
2
0
1
2
4
0
0
0
2
4
2
0
2
0
5
0
1
0
4
0
0
2
3
0
0
3
0
5
1
0
1
3
0
0
5
5
3
4
3
0
5
4
5
5
5
0
3
4
Answer 5
8%
0
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
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
0
5
0
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
0
1
4
3
2
0
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
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
0
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
0
1
4
3
2
2
3
0
4
0
5
3
0
3
2
0
4
1
1
3
2
5
5
3
3
5
0
5
3
0
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
0
1
0
0
4
0
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
0
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
0
5
0
1
0
3
4
3
5
1
2
0
1
2
3
0
0
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
0
1
5
0
2
5
4
5
5
3
0
3
0
1
3
0
1
0
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
0
2
4
4
0
2
4
5
4
0
2
3
0
4
2
2
4
0
2
0
5
5
0
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
0
4
5
0
0
0
0
0
3
5
0
3
5
0
0
2
2
2
2
2
4
0
1
3
0
0
0
2
1
5
3
0
0
0
5
3
0
5
4
3
5
3
2
0
3
0
1
0
4
2
0
0
2
0
1
3
4
5
3
3
0
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
0
4
1
2
0
2
3
0
5
2
0
4
0
0
2
2
0
4
3
5
3
0
4
0
3
4
0
1
4
3
1
3
0
0
1
5
0
1
0
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
5
0
0
3
1
3
0
0
0
3
5
1
3
5
5
1
2
1
1
0
3
5
0
0
0
4
1
3
0
4
3
1
4
5
0
2
1
0
0
5
5
0
5
2
5
3
0
2
5
5
5
0
2
0
0
5
3
2
0
4
0
0
3
3
5
2
0
1
1
2
1
2
3
0
0
3
2
0
1
0
2
3
2
1
4
5
4
0
1
2
0
4
5
0
5
1
1
1
3
1
4
1
5
1
4
1
0
3
0
0
0
3
2
2
5
0
0
5
0
3
2
0
1
1
2
5
0
0
3
5
5
4
3
2
5
3
0
2
2
1
5
2
2
4
3
2
0
5
0
1
4
3
4
2
5
4
4
0
2
0
0
5
0
5
4
5
5
5
0
4
5
5
0
0
3
4
3
4
2
0
0
3
4
4
0
5
0
5
0
0
2
4
1
1
4
5
4
3
1
4
5
0
0
0
5
3
3
3
4
0
2
2
4
0
3
3
0
2
0
5
0
0
0
3
3
5
3
0
5
5
1
3
0
0
4
2
2
2
2
0
2
3
0
5
3
3
5
0
3
0
2
0
5
3
0
4
2
3
3
0
5
5
3
0
5
5
5
0
3
4
0
4
4
1
3
1
2
5
3
2
5
2
0
4
0
5
5
5
0
5
0
0
1
5
4
1
0
1
0
5
0
3
5
4
3
0
0
1
3
5
4
4
0
3
2
3
2
1
2
0
4
3
0
4
5
0
0
2
5
3
5
2
0
4
3
2
0
0
1
0
5
0
3
4
5
0
5
2
0
5
5
2
0
0
4
0
0
5
0
0
1
1
0
3
5
0
0
0
2
5
4
0
5
2
0
4
0
0
5
0
5
0
3
3
0
1
0
2
0
1
3
1
4
5
0
0
0
1
3
5
0
0
1
0
0
3
1
2
3
3
0
4
0
4
4
2
0
4
2
4
1
0
0
0
2
2
1
2
0
0
3
3
0
0
0
4
1
1
3
4
5
2
4
1
4
0
3
2
5
4
4
3
4
0
5
1
1
0
2
0
5
4
0
3
4
1
0
5
0
5
1
5
2
0
1
4
0
0
4
1
1
2
0
3
0
0
3
0
5
4
3
4
2
3
5
2
4
5
2
0
3
1
0
0
4
2
0
0
5
2
4
5
2
1
3
4
0
5
2
1
2
4
0
3
4
4
4
0
4
5
1
1
3
3
5
0
4
4
2
2
1
1
0
1
4
1
0
5
0
5
3
0
2
3
2
0
3
5
4
3
2
5
5
0
0
0
3
2
5
1
2
1
3
2
0
3
1
0
5
1
0
0
3
2
5
2
3
0
0
3
4
0
4
2
1
0
5
4
3
2
0
3
0
2
5
2
3
3
0
2
5
0
2
0
3
2
0
3
3
0
2
4
1
4
5
4
5
3
5
0
3
3
4
0
0
3
4
0
5
3
0
1
5
3
5
1
1
0
0
3
0
0
0
2
3
3
0
0
0
2
4
5
2
5
0
0
1
2
3
5
4
0
3
1
0
0
0
1
5
0
0
5
1
5
4
3
3
4
0
3
2
4
0
5
4
3
5
5
5
3
0
3
0
4
5
0
2
2
0
0
3
2
0
0
0
2
2
0
5
4
5
3
3
5
0
1
0
5
2
3
0
0
0
0
0
3
1
0
0
0
4
5
2
5
2
2
1
5
5
0
2
2
5
3
5
4
3
0
4
4
1
4
0
5
0
5
5
0
0
0
0
2
3
5
5
3
1
1
5
5
5
0
5
2
4
0
1
5
1
0
0
0
0
5
1
5
4
2
5
0
0
2
5
0
5
0
3
0
2
2
5
4
2
4
5
0
1
3
0
3
5
3
0
2
4
0
2
5
1
5
1
4
4
0
0
1
1
3
1
3
1
0
4
1
1
3
0
5
5
0
5
1
4
4
3
2
5
0
2
1
0
3
5
4
4
0
0
0
4
0
4
3
4
1
2
3
2
3
4
3
5
1
2
4
2
4
0
5
0
5
2
0
0
4
4
0
1
2
4
3
3
4
0
5
0
5
3
0
5
5
0
5
3
0
3
5
1
4
4
4
0
3
0
4
0
2
5
3
3
5
4
4
2
4
2
4
4
2
4
5
0
0
0
1
0
4
3
3
0
1
0
1
3
5
0
5
1
0
4
4
2
0
2
0
0
1
4
3
1
5
4
4
1
4
0
0
0
0
0
1
0
1
0
0
2
5
2
2
4
5
3
5
0
4
1
3
0
0
0
0
0
0
4
1
0
2
5
0
3
5
0
1
3
3
3
0
3
3
4
0
2
0
3
4
3
2
0
2
1
0
4
0
0
2
2
1
4
0
4
0
3
5
5
5
0
3
3
5
0
0
4
2
4
5
4
4
2
0
0
5
5
0
4
0
5
0
2
3
1
2
3
5
3
0
4
2
5
0
5
2
2
2
0
5
5
5
2
0
0
5
0
2
0
2
0
2
4
0
3
2
2
1
4
4
3
0
5
0
0
0
5
5
4
5
2
5
2
5
3
0
2
2
5
3
4
1
4
2
4
4
4
5
3
1
0
0
0
2
4
0
2
3
4
4
3
1
0
0
2
4
0
2
0
1
3
1
0
0
2
2
4
2
3
1
2
0
1
0
4
0
0
1
0
0
0
3
1
2
2
4
0
2
0
4
5
5
4
0
0
5
5
0
2
3
0
5
0
1
3
0
2
3
0
0
2
2
1
5
0
0
0
2
2
3
2
0
3
0
2
1
1
5
1
4
4
5
1
0
5
2
0
1
1
5
0
1
0
5
0
5
4
4
3
5
3
4
1
5
5
4
0
5
0
4
0
0
5
2
0
4
1
5
3
4
5
5
0
3
0
1
4
0
0
0
5
2
0
0
0
2
5
3
4
4
2
0
0
5
4
4
0
4
3
1
1
0
4
3
0
0
0
5
2
0
0
5
4
5
0
0
5
3
0
4
1
4
3
0
4
0
3
0
0
0
2
5
4
0
0
5
1
0
3
0
2
0
0
3
3
4
0
3
2
0
2
0
5
2
0
3
3
5
4
3
2
3
0
0
3
1
3
3
1
1
5
1
0
3
3
1
0
3
2
0
0
1
2
4
5
4
5
0
4
0
0
5
0
0
0
4
1
1
1
5
3
1
5
1
2
0
1
5
3
5
3
0
0
0
3
1
4
0
3
4
5
0
3
2
3
4
0
2
0
1
0
2
2
0
4
2
0
0
5
3
0
5
5
1
1
0
5
5
5
3
2
0
0
3
0
0
2
2
4
4
1
0
0
0
0
0
4
4
0
2
3
3
5
0
0
5
5
3
0
0
4
3
4
0
0
0
5
2
5
0
3
0
3
2
0
4
0
0
4
2
3
0
0
3
0
5
5
0
0
3
3
4
0
0
3
3
5
0
0
5
3
0
1
1
0
4
5
0
0
5
0
2
0
4
1
3
5
3
2
0
5
5
0
1
5
5
3
4
5
0
2
0
5
4
1
0
1
2
0
0
5
1
5
3
5
0
0
4
5
5
0
5
0
0
5
4
2
3
4
0
1
0
5
3
2
4
4
4
3
4
3
0
5
5
5
0
4
3
5
5
0
1
0
5
1
1
3
0
0
4
4
0
0
4
4
5
5
3
0
5
0
0
0
2
4
2
3
3
2
2
4
5
5
3
3
3
4
0
4
5
5
3
4
5
5
1
5
4
5
1
5
5
5
1
3
2
0
5
1
2
3
2
5
0
0
5
3
3
3
0
3
0
3
0
0
4
2
4
4
5
0
0
5
0
0
0
5
0
0
3
5
1
1
4
2
5
5
3
0
2
0
3
4
0
4
4
1
5
3
4
5
0
0
5
0
0
3
2
2
0
4
0
5
3
0
3
0
1
4
4
4
3
0
3
4
0
3
5
5
0
1
4
2
4
5
0
2
1
1
5
0
4
5
2
5
2
0
0
5
5
4
3
4
5
4
5
4
4
3
0
0
5
3
2
4
5
5
3
0
0
5
0
1
5
0
4
0
0
4
4
3
0
3
5
5
5
4
3
0
5
5
3
4
3
1
2
5
5
3
5
2
5
4
5
0
2
5
5
5
0
5
0
0
4
2
2
4
3
3
2
5
0
1
1
4
5
3
4
3
3
5
0
0
2
5
0
4
3
4
4
3
0
4
0
1
3
0
4
3
0
3
0
5
1
4
0
5
1
3
0
0
0
5
0
3
0
4
0
4
2
4
4
0
5
3
4
3
3
0
5
3
0
5
5
3
3
0
4
4
3
0
3
4
0
5
4
0
4
3
0
5
1
0
2
3
0
1
2
1
0
0
4
5
0
0
2
3
0
0
0
5
1
0
1
0
3
1
5
4
0
4
0
0
2
1
0
0
5
5
0
4
5
3
2
5
5
4
2
5
3
4
5
4
3
5
3
5
4
3
4
3
2
4
0
0
5
3
0
3
5
2
4
2
3
0
0
2
0
0
4
3
5
0
0
0
4
0
4
1
0
4
5
5
5
3
3
5
5
2
5
0
3
5
0
2
2
1
1
0
5
1
0
4
1
5
0
3
5
3
1
2
5
2
1
0
1
0
4
1
0
0
5
0
3
4
3
3
3
3
3
5
3
4
5
4
1
5
0
0
5
5
5
5
1
0
0
4
2
0
0
4
0
5
2
1
4
0
5
1
3
0
0
4
5
3
0
0
3
2
0
0
4
0
0
4
5
2
0
2
0
2
0
0
5
5
0
4
5
1
3
4
0
3
0
1
5
3
4
5
0
0
1
0
0
1
0
3
2
0
3
5
0
0
2
2
4
0
0
3
0
0
2
3
5
0
4
0
5
0
0
0
5
1
1
1
5
0
0
0
5
4
5
0
5
1
0
3
5
0
3
4
3
3
3
5
5
2
4
4
5
3
4
0
3
5
2
4
5
3
5
0
4
0
5
2
0
3
4
3
5
0
4
5
0
3
5
4
4
5
2
2
0
0
5
4
4
4
1
0
5
1
4
4
3
2
4
4
2
0
5
0
0
1
0
3
0
4
0
0
0
3
5
5
0
0
5
1
3
2
5
0
0
0
4
0
0
3
1
5
2
5
1
4
4
3
0
3
4
5
4
5
5
3
5
1
4
3
0
3
0
3
0
1
0
1
0
5
0
2
0
3
0
0
5
2
0
1
0
1
3
0
0
0
5
0
5
0
3
5
0
4
4
0
2
5
3
0
0
5
0
2
3
0
0
3
5
0
0
0
0
0
0
0
2
0
0
4
0
5
2
0
4
0
0
3
2
0
1
1
3
0
0
2
3
3
3
0
3
3
Answer 6
6%
4
0
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
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
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
0
3
4
2
3
0
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
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
0
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
0
4
2
4
0
1
0
0
5
2
2
0
2
0
1
0
2
1
1
3
5
5
0
4
3
0
0
5
0
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
0
3
4
0
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
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
0
1
2
0
3
1
5
0
0
3
0
0
0
2
0
0
5
0
0
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
0
4
0
2
4
4
0
0
0
0
0
0
4
4
0
5
0
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
0
1
0
0
4
4
0
5
0
4
4
4
3
3
5
2
5
1
0
4
1
0
2
0
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
0
5
0
0
0
0
0
0
0
0
2
3
0
3
1
2
5
0
1
3
0
5
5
0
0
0
3
0
1
0
1
0
0
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
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
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
0
1
3
0
1
5
1
0
1
0
1
2
0
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
0
4
1
0
3
3
0
1
4
1
3
0
1
0
2
0
1
0
1
3
0
0
0
1
5
3
0
0
0
0
0
3
3
0
0
2
5
5
0
0
5
5
0
5
2
0
0
3
4
0
1
0
0
0
2
2
4
3
0
0
1
2
0
3
5
0
4
1
4
0
3
0
2
3
0
4
4
0
1
0
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
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
0
3
0
0
2
3
5
3
5
1
0
2
3
0
3
1
4
0
4
0
0
0
0
3
5
0
3
5
0
0
0
3
0
3
2
5
3
2
0
5
5
2
0
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
0
3
0
0
5
2
2
0
1
5
2
0
0
0
5
0
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
0
2
0
2
4
2
0
0
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
0
3
0
0
0
3
0
0
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
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
0
4
5
0
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
0
3
0
4
5
5
0
4
0
0
0
0
0
1
0
4
4
3
2
0
4
1
0
1
0
0
0
0
5
3
2
0
0
0
3
3
4
5
0
4
1
3
0
4
1
0
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
0
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
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
0
4
0
0
2
1
0
4
0
5
4
4
3
0
0
0
5
2
3
0
0
0
0
0
5
0
0
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
0
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
0
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
0
2
0
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
0
2
3
0
0
4
0
0
1
4
2
1
1
3
0
3
0
2
0
0
4
4
0
3
2
0
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
0
1
0
0
0
0
0
3
0
2
5
3
3
0
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
0
3
1
2
2
5
5
0
0
3
0
0
0
0
0
0
1
0
2
3
0
2
0
0
2
0
1
0
5
0
1
3
1
5
5
3
0
3
3
5
0
1
0
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
0
2
3
0
0
0
3
0
4
0
0
0
3
0
0
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
0
1
4
3
1
0
3
0
5
2
5
0
0
3
0
1
3
2
5
1
0
5
4
2
0
0
2
2
1
0
0
0
1
4
5
0
0
1
4
1
0
5
3
0
0
5
2
0
4
0
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
0
4
0
5
0
0
0
0
3
0
0
0
0
5
4
0
0
0
0
0
5
0
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
0
2
1
3
0
3
5
0
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
0
5
0
1
0
0
0
2
4
2
2
0
0
1
0
0
5
4
5
5
1
4
0
5
0
0
2
0
0
4
3
3
1
5
3
5
0
4
0
0
5
5
2
0
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
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
0
2
0
1
0
1
2
3
0
2
0
3
5
4
0
3
3
1
1
0
0
0
0
3
0
3
0
0
0
0
0
0
4
3
5
0
0
0
5
0
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
0
3
0
5
4
1
0
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
0
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
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
0
1
0
0
0
1
0
0
5
3
1
3
0
1
0
4
0
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
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
0
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
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
0
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
0
3
1
2
0
0
0
0
4
0
0
0
0
1
0
0
5
5
4
5
2
1
0
0
1
0
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
0
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
0
1
0
3
4
3
0
5
0
0
0
3
0
0
5
0
5
4
0
4
0
0
0
1
3
0
0
0
0
3
0
0
4
0
1
3
4
0
0
0
0
3
5
0
2
0
3
0
0
0
0
0
0
0
1
0
0
5
0
2
2
0
2
0
4
0
5
0
0
2
4
0
0
2
0
0
3
0
4
3
Answer 7
6%
0
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
0
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
0
1
0
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
0
1
4
0
2
0
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
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0
0
0
0
0
4
5
3
5
2
1
0
0
1
0
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
0
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
0
1
1
0
2
5
3
0
3
0
0
0
5
0
0
0
0
0
3
0
1
0
1
0
0
3
5
0
0
0
5
0
0
3
0
1
4
4
0
0
0
0
2
5
0
2
0
3
0
0
0
0
0
0
0
2
0
0
5
0
2
2
0
3
0
1
0
3
0
0
1
5
0
0
2
0
4
3
0
5
2
Answer 8
6%
0
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
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
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
0
3
3
0
2
0
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
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
0
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
0
2
4
2
0
3
0
0
3
2
2
2
1
0
3
0
3
0
2
3
4
5
3
4
1
0
0
5
0
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
0
3
0
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
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
0
5
1
1
0
1
2
0
3
2
0
0
2
1
4
0
0
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
0
4
2
0
2
0
4
0
0
0
0
4
0
2
0
0
4
4
0
0
1
1
1
0
2
1
3
0
0
2
3
1
3
0
1
1
0
0
0
0
2
3
0
0
3
0
2
2
0
0
3
3
0
0
3
0
5
0
0
0
0
5
0
0
3
2
3
1
0
4
0
0
5
0
2
5
0
1
3
4
2
0
0
0
4
0
2
0
0
0
5
0
3
3
2
0
0
5
0
0
0
1
0
3
0
0
5
5
3
2
0
0
0
0
1
0
0
0
3
0
0
0
0
3
3
1
0
4
3
4
0
1
3
0
0
4
0
0
0
2
0
0
0
1
0
0
2
4
0
4
5
1
3
0
0
1
0
0
0
0
4
5
0
4
1
2
0
4
3
0
1
2
0
2
0
1
3
5
0
0
5
2
1
5
3
0
3
4
0
1
0
0
1
4
5
3
2
1
4
0
0
1
0
2
0
0
1
5
2
0
0
1
0
0
0
2
1
0
0
1
0
0
2
3
0
2
5
0
0
3
4
0
2
2
1
0
3
0
0
0
0
0
1
1
1
4
4
0
2
0
0
1
0
0
2
0
4
3
1
2
3
0
0
2
0
0
3
1
3
1
4
3
2
4
0
0
2
0
0
3
3
1
0
0
5
2
0
0
4
5
5
0
0
0
0
5
2
0
2
2
5
1
4
2
1
0
3
1
0
0
0
0
3
2
0
0
0
3
0
4
0
0
1
0
0
5
4
0
0
5
4
4
0
1
5
5
0
5
2
0
0
2
3
0
0
0
0
0
3
3
2
0
0
0
1
5
2
2
2
0
0
2
2
0
3
0
1
3
0
3
0
3
3
0
0
0
0
2
3
0
3
0
1
0
2
4
4
1
3
0
1
0
0
0
0
0
0
3
1
3
0
0
0
0
0
3
1
4
0
1
5
0
0
0
3
4
5
4
4
2
0
3
0
0
0
1
3
4
3
4
3
1
0
0
0
2
5
3
0
0
5
0
2
0
3
0
0
3
4
0
3
0
4
4
5
0
2
4
0
0
2
0
4
0
1
0
0
0
0
1
0
0
0
3
0
0
0
4
2
2
0
3
2
5
0
5
3
2
0
0
5
5
3
3
0
3
0
2
4
3
0
3
0
0
0
1
0
0
1
4
4
0
0
0
2
0
5
2
0
5
0
0
3
3
1
0
1
0
0
0
3
3
1
0
0
0
0
0
5
3
3
3
5
3
1
0
1
2
5
1
0
3
5
0
2
1
3
0
2
1
3
2
3
1
0
3
0
2
0
0
0
0
2
2
0
0
0
0
2
1
3
1
0
2
0
5
0
4
3
1
5
4
0
3
0
0
5
2
0
1
0
5
3
0
0
0
0
1
3
3
1
0
0
2
0
2
2
3
0
1
0
0
0
4
2
0
2
0
3
5
0
0
5
4
0
2
0
0
2
0
2
4
0
3
0
0
1
0
0
0
1
0
0
0
0
4
3
0
5
2
0
0
0
1
0
0
5
0
0
1
0
2
0
1
3
0
0
1
3
0
0
0
3
0
3
4
0
4
5
3
0
5
1
5
1
1
5
4
0
5
2
0
0
0
2
4
0
0
0
3
2
5
1
3
0
0
3
0
0
2
0
1
2
0
0
0
4
3
0
0
3
0
2
4
0
5
2
3
3
4
5
2
2
0
4
3
0
0
0
0
4
3
0
2
0
2
2
1
4
0
0
0
0
3
3
3
1
3
0
1
0
0
0
0
3
3
4
0
2
0
4
0
0
3
1
0
0
3
0
0
4
1
0
0
2
2
5
5
1
5
0
0
0
2
0
1
1
4
3
5
2
0
0
0
0
4
1
0
4
4
0
0
0
4
2
1
0
4
0
2
3
0
0
5
2
0
3
0
4
3
2
0
4
0
5
4
4
2
3
0
0
0
3
4
1
0
5
3
0
0
0
3
1
0
4
3
1
0
0
2
2
5
1
2
0
3
4
0
5
0
3
0
4
0
4
0
0
0
0
4
3
5
2
0
0
0
5
1
0
0
1
2
0
0
3
0
2
0
2
5
0
3
5
5
3
0
1
3
3
0
0
0
4
3
0
0
3
0
2
3
5
2
3
0
0
0
0
0
3
2
3
2
5
0
0
3
3
4
2
5
2
0
2
4
5
5
2
0
3
0
1
0
0
0
0
0
0
2
2
4
0
0
5
3
0
3
2
2
0
5
0
4
4
2
0
5
0
5
0
0
0
0
0
5
0
0
2
0
4
0
0
1
3
0
1
0
3
1
1
4
0
0
0
0
4
2
0
0
0
0
0
5
4
0
0
0
0
3
4
0
1
1
4
0
0
1
1
1
4
1
3
4
1
3
5
3
1
4
1
5
1
1
0
0
0
0
0
0
1
0
1
3
2
0
1
1
5
0
4
1
5
2
2
5
0
0
4
2
5
3
0
5
2
0
0
2
3
3
5
0
1
0
0
0
1
2
5
5
3
0
5
0
5
2
0
4
5
5
0
3
0
0
1
0
2
5
1
4
3
0
2
1
0
3
2
4
0
0
2
1
4
0
0
4
1
0
1
0
0
1
3
4
1
0
2
2
0
1
4
3
3
0
0
0
2
0
5
4
3
4
2
0
0
2
0
3
5
1
3
5
0
4
0
0
0
2
3
1
0
2
0
0
3
3
5
1
1
3
0
3
0
4
0
0
5
4
0
1
0
0
1
5
0
0
0
3
0
0
0
1
0
4
1
0
1
4
5
5
2
0
3
1
1
2
0
5
0
0
0
2
0
3
1
4
0
3
0
2
2
0
0
2
3
3
5
0
0
2
0
0
0
2
3
5
0
0
5
0
0
2
0
0
0
0
0
1
5
0
0
0
1
4
0
0
4
3
4
5
0
0
0
4
0
0
0
0
0
1
1
2
0
1
0
0
3
3
3
3
3
1
3
0
5
2
1
4
3
0
3
3
0
4
0
1
2
0
3
0
1
3
1
0
5
0
2
2
0
4
2
3
0
4
5
3
0
0
0
1
0
2
1
1
2
0
0
4
0
0
2
0
0
0
1
0
0
0
0
5
0
0
1
3
3
0
5
5
0
0
0
5
1
5
0
0
0
0
1
2
0
0
0
0
3
2
2
2
3
0
3
2
4
0
0
0
0
0
5
4
4
0
2
3
4
2
0
3
0
0
0
3
0
4
5
3
0
0
1
4
5
2
0
0
0
0
5
0
2
3
0
0
2
0
0
0
3
0
0
1
0
1
3
1
0
0
1
1
0
0
4
1
4
0
0
0
4
0
0
0
0
0
0
3
2
4
0
0
0
4
0
3
2
0
0
1
0
4
2
1
0
2
0
1
0
4
0
0
3
1
0
1
3
3
2
0
0
0
0
2
3
1
2
2
3
0
1
1
1
0
0
0
4
0
1
0
0
1
0
3
0
0
0
4
1
3
0
0
0
2
0
0
0
3
1
3
0
1
0
2
0
0
0
0
5
0
0
3
2
0
0
0
5
4
0
0
0
0
2
0
0
0
0
0
0
0
2
3
3
3
0
0
2
0
0
2
1
3
1
1
3
0
1
0
0
5
0
4
0
4
4
0
0
0
2
1
0
4
4
2
0
2
0
3
3
2
2
0
3
0
0
0
0
2
5
2
0
0
1
0
3
0
2
0
0
0
3
4
1
0
4
0
4
0
3
0
0
0
2
0
1
2
0
2
0
5
4
2
4
3
3
3
0
0
0
2
2
2
0
3
2
1
0
1
4
4
0
2
0
0
0
0
5
0
0
0
0
4
0
0
1
5
1
0
0
0
0
0
2
3
3
1
0
0
0
0
1
2
4
2
0
3
5
0
2
4
4
0
0
1
0
0
0
3
0
0
2
5
0
0
0
0
0
2
3
1
0
1
0
2
3
2
4
0
0
1
0
3
3
5
5
0
2
0
0
4
0
0
3
2
0
0
3
4
3
0
0
5
0
4
0
0
4
5
2
0
0
0
3
4
1
3
0
0
3
1
5
1
0
0
0
0
2
0
0
0
0
5
0
0
0
0
0
5
0
0
4
4
2
0
0
5
3
0
1
2
0
0
3
0
0
5
3
0
4
2
2
2
2
1
3
0
2
4
0
5
2
3
0
0
1
0
3
0
5
0
2
0
0
5
0
1
1
0
0
3
1
0
3
0
1
0
0
2
0
0
5
3
0
1
5
0
2
0
1
0
3
0
1
2
3
0
4
0
2
1
0
0
3
3
1
2
1
0
0
0
5
2
4
0
0
0
0
0
0
3
1
5
4
0
1
3
0
0
0
0
4
3
0
2
2
2
4
5
0
0
4
1
2
4
5
0
4
2
5
0
0
1
2
4
3
3
0
0
5
3
3
4
0
5
0
0
2
3
3
0
0
5
0
1
4
0
5
0
5
3
0
4
0
1
5
2
0
0
1
3
0
2
5
0
0
3
0
0
0
0
0
3
2
0
0
1
0
3
4
0
2
2
1
2
0
2
0
2
0
0
0
3
0
4
3
0
4
0
2
2
0
4
4
0
3
2
5
0
0
3
1
0
0
5
5
0
1
3
1
5
0
0
3
3
2
3
1
0
0
0
4
0
0
0
1
4
0
0
2
4
0
0
2
4
3
0
0
0
2
3
0
4
2
5
1
0
4
2
0
3
1
0
2
1
0
3
0
4
1
5
0
2
4
2
0
1
2
0
3
0
4
0
3
4
3
0
4
4
5
3
0
1
0
5
4
0
4
0
0
4
0
1
5
3
3
3
0
1
1
0
2
2
0
2
1
1
2
0
0
3
2
0
1
3
3
3
0
0
0
0
0
0
0
3
1
0
2
0
5
1
3
0
1
2
3
0
0
0
3
4
4
0
5
0
4
4
0
4
5
3
4
1
3
1
0
3
0
0
1
3
4
0
0
5
0
3
0
2
0
0
1
2
0
0
2
0
3
2
4
5
3
3
1
4
0
0
5
0
5
0
0
0
4
3
0
0
0
2
0
2
0
3
3
5
4
3
5
0
0
3
0
4
0
2
0
2
0
1
3
0
0
2
1
1
2
1
4
0
1
0
5
1
0
4
0
1
0
1
1
0
0
2
1
0
0
2
0
1
3
5
4
0
0
0
0
0
3
5
0
0
0
5
1
1
2
0
4
3
0
2
1
2
5
5
2
3
0
4
0
0
4
2
1
2
0
2
2
0
3
5
5
1
5
3
3
2
3
3
1
0
0
0
0
2
0
0
0
3
0
1
0
5
4
3
0
0
2
0
5
5
5
2
5
0
0
3
0
3
0
0
0
0
5
1
0
0
0
0
4
1
0
2
0
2
0
3
0
0
1
4
4
0
1
2
1
1
0
4
0
4
1
5
4
0
0
0
1
0
0
5
0
0
2
5
1
1
1
0
1
0
1
0
0
2
2
0
1
1
4
0
0
0
1
1
0
0
1
0
0
3
1
0
3
0
0
0
0
0
0
1
0
1
0
0
0
2
0
0
1
1
0
1
3
0
0
5
3
5
0
1
0
0
0
0
0
4
5
0
1
3
3
2
2
3
2
2
0
2
0
1
4
3
0
3
1
1
1
0
0
3
1
0
4
3
3
3
0
0
4
3
1
4
4
1
4
4
2
0
0
2
3
3
5
0
0
3
4
5
2
3
0
0
0
4
0
5
0
0
3
0
1
0
5
3
1
3
4
3
3
0
0
0
5
3
3
0
1
0
2
1
0
0
3
2
5
0
3
0
5
3
3
0
5
0
4
0
0
4
0
5
2
4
4
0
0
0
2
0
1
3
3
0
3
0
0
0
4
0
0
5
0
0
2
0
1
0
0
0
0
5
3
0
0
0
3
0
0
3
0
3
3
4
0
0
2
1
2
4
0
0
3
2
0
0
0
0
0
0
4
1
0
0
3
0
1
1
0
3
0
0
4
3
0
0
1
5
0
0
3
0
0
3
0
1
3
Answer 9
4%
0
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
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
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
0
3
0
0
1
0
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
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
0
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
0
2
5
4
0
3
0
0
3
5
2
0
0
0
1
0
3
0
5
0
1
0
0
0
0
5
0
5
0
2
0
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
0
2
0
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
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
0
1
0
0
0
1
5
0
0
4
0
0
0
1
0
0
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
0
5
1
0
0
0
4
0
5
0
0
0
3
0
0
0
5
0
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
0
5
0
0
1
0
0
5
0
4
0
0
4
0
4
0
0
1
0
2
0
0
1
0
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
0
1
0
0
0
3
0
0
0
0
5
3
0
5
2
0
3
0
0
1
0
0
3
0
0
0
5
0
0
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
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
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
0
3
0
0
0
5
3
3
0
1
0
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
0
5
1
1
1
1
0
1
5
1
0
0
1
4
0
0
0
0
1
2
0
0
0
3
0
2
0
0
0
0
0
5
0
1
0
2
2
2
0
0
5
0
0
0
0
0
0
1
0
0
0
0
0
0
3
4
3
0
0
1
0
5
0
0
2
0
0
5
2
0
4
0
1
5
0
0
0
0
3
0
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
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
0
1
0
5
5
0
2
2
3
0
0
4
0
3
0
1
0
0
0
0
0
0
4
0
1
0
0
0
2
1
0
0
2
3
3
0
4
1
0
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
0
5
0
0
5
1
3
0
0
0
1
2
0
0
1
5
0
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
0
4
1
0
5
2
0
0
1
0
0
0
0
1
0
5
0
3
5
0
0
5
2
0
2
0
3
0
0
2
0
0
5
0
0
1
0
0
0
1
0
0
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
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
0
2
1
0
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
0
5
0
1
2
5
0
3
0
0
0
3
0
3
0
0
2
3
0
0
3
1
0
5
0
3
3
0
2
3
5
0
0
0
5
0
0
4
0
0
0
1
0
5
1
0
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
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
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
0
1
3
0
1
0
1
1
1
3
0
0
0
1
1
3
0
0
0
0
0
3
3
0
0
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
0
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
0
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
0
2
0
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
0
1
2
0
0
4
0
0
1
0
1
1
4
3
0
0
0
5
0
0
4
3
0
2
1
0
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
0
1
5
0
0
0
1
2
0
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
0
1
0
1
2
1
3
0
4
2
0
0
0
0
0
0
1
0
0
0
0
5
0
0
1
0
3
0
5
2
0
0
0
0
2
4
0
0
0
0
0
1
0
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
0
2
1
0
0
5
1
1
0
0
0
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
0
1
1
0
0
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
0
5
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
1
0
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
0
5
4
1
0
0
0
0
0
0
3
2
2
2
0
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
0
3
3
0
1
0
0
0
0
5
0
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
0
1
0
0
5
4
1
2
0
0
0
0
0
0
5
3
3
4
0
0
3
0
0
2
0
0
0
3
5
1
0
0
5
5
2
1
0
2
5
2
0
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
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
0
2
0
4
0
1
1
3
0
4
0
5
5
0
0
4
4
4
4
0
0
0
0
1
0
3
0
0
0
4
0
0
0
1
4
5
0
0
3
0
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
0
5
0
0
4
1
0
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
0
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
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
0
4
0
0
5
1
0
3
0
5
1
3
1
1
1
3
0
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
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
0
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
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
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
0
1
0
0
0
0
0
0
0
0
4
1
0
3
0
0
0
5
4
3
0
3
0
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
0
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
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
5
0
0
1
0
1
0
0
0
0
5
0
0
0
5
3
0
0
3
0
1
5
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
3
1
0
0
3
0
0
1
0
0
0
0
0
1
0
0
5
5
0
0
0
0
0
4
0
3
5
Answer 10
6%
0
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
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
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
0
1
3
0
3
0
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
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
0
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
0
3
1
4
0
2
0
0
5
1
3
5
0
1
1
0
1
0
3
0
2
3
5
0
2
3
0
5
0
5
0
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
0
1
0
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
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
0
3
0
0
0
2
5
5
0
5
2
0
1
1
0
0
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
0
5
4
0
4
0
5
0
3
2
0
5
0
0
0
0
1
0
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
0
5
5
0
2
4
0
5
0
4
0
0
4
0
1
0
0
1
0
2
0
0
3
0
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
0
2
1
0
3
0
5
0
0
0
0
5
5
0
1
5
3
3
1
0
4
0
0
0
0
5
0
5
0
0
2
0
5
0
0
5
0
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
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
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
0
1
0
0
5
3
0
0
0
3
0
1
0
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
0
5
1
2
2
0
5
1
3
5
0
0
1
1
0
2
1
0
5
3
0
0
5
2
0
3
0
5
0
0
0
5
0
2
5
5
1
2
4
0
3
0
4
0
1
0
0
3
2
1
3
0
0
0
1
4
4
3
0
0
3
3
1
0
2
0
0
1
0
0
3
0
1
4
5
0
1
0
1
0
0
1
0
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
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
0
5
3
3
2
3
4
3
0
0
1
3
0
0
3
2
5
0
5
0
0
1
0
0
0
5
0
5
1
5
0
1
1
1
1
1
2
1
3
5
3
1
0
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
0
5
5
0
0
4
1
3
2
0
0
5
3
3
0
5
0
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
0
1
0
5
1
5
0
0
0
3
0
0
2
0
1
0
3
5
0
0
1
2
0
1
0
4
1
0
1
1
0
2
0
0
2
0
0
1
2
0
0
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
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
0
5
2
0
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
0
5
4
4
3
3
0
3
0
0
0
0
0
3
0
5
2
4
0
0
4
1
0
3
0
3
0
5
2
3
5
0
1
0
5
0
0
4
0
0
5
5
4
3
1
0
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
0
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
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
0
1
0
0
0
0
2
3
0
3
0
1
1
1
0
5
0
0
4
3
3
2
0
0
0
0
5
4
0
0
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
0
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
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
0
1
0
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
0
1
0
0
0
2
0
0
5
2
5
3
1
1
5
0
0
5
0
4
3
5
0
5
1
0
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
0
5
4
1
5
0
0
0
5
1
5
0
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
0
5
1
0
2
2
5
1
0
0
3
0
0
3
0
0
0
1
0
0
0
0
5
1
0
3
0
5
0
5
5
3
0
0
0
1
3
0
0
5
0
0
3
0
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
0
1
1
5
0
2
3
0
0
3
0
5
0
0
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
0
2
5
0
0
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
0
3
0
0
0
0
3
3
0
3
0
0
3
4
5
5
2
0
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
0
2
4
3
4
3
0
0
3
0
0
3
0
3
3
0
0
4
2
0
3
0
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
0
2
4
4
4
0
0
0
0
0
5
0
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
0
4
1
3
1
3
0
0
2
0
0
1
2
2
3
2
5
0
3
0
0
4
0
0
0
3
4
1
0
0
5
4
0
3
0
4
4
2
5
0
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
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
0
4
0
2
3
1
3
2
5
4
0
0
1
2
0
4
3
1
4
0
3
0
2
3
0
0
0
0
0
0
1
0
0
1
0
3
4
0
2
0
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
0
5
0
3
5
4
0
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
0
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
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
0
2
0
0
3
2
1
3
2
5
1
5
0
0
3
3
0
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
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
0
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
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
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
0
4
5
0
3
0
0
0
0
3
0
0
0
0
0
0
0
2
3
3
3
0
0
0
0
5
0
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
0
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
0
3
1
1
0
2
4
1
2
0
0
0
0
1
0
3
0
0
0
0
0
1
1
3
0
0
3
0
0
0
4
4
0
0
2
0
3
5
2
5
0
0
0
5
1
5
0
0
0
0
0
1
0
0
0
3
2
0
0
2
0
1
4
0
2
2
0
0
5
0
4
5
2
1
5
4
4
0
4
0
0
4
Answer 11
6%
0
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
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
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
0
3
1
0
2
0
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
0
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
0
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
0
1
2
3
0
3
0
0
5
3
3
1
4
1
3
0
2
1
2
2
3
3
0
4
0
0
0
1
0
1
0
0
0
0
3
5
0
0
4
0
0
0
0
0
0
0
0
4
4
0
0
1
3
2
0
1
4
0
2
0
0
0
0
1
2
4
2
0
0
1
0
5
0
0
3
0
0
0
2
4
0
3
0
2
5
4
1
0
2
0
1
3
5
0
1
0
0
1
0
2
0
1
2
0
3
0
0
0
0
4
0
5
0
0
1
4
0
2
2
2
0
0
1
3
0
2
1
0
0
4
3
2
0
4
0
0
1
4
4
2
4
3
3
0
0
1
2
5
0
0
1
0
3
4
2
2
0
0
4
0
4
0
4
4
0
3
0
2
0
1
4
0
4
5
0
0
0
1
3
0
4
0
0
0
4
1
3
2
0
4
0
3
0
0
3
0
2
3
3
0
2
0
0
2
1
0
3
1
4
0
5
0
0
0
0
0
3
5
0
3
1
4
1
0
3
0
0
3
0
0
3
0
0
2
0
5
0
1
0
0
0
0
1
0
0
5
0
0
0
3
0
2
0
1
1
0
0
1
3
4
5
2
0
2
2
0
0
0
0
2
2
0
0
5
3
1
4
0
0
0
0
0
5
2
0
1
0
0
0
0
5
3
0
2
2
3
4
0
3
2
0
4
0
1
0
0
2
0
4
0
0
2
0
3
5
1
0
0
0
3
0
3
3
2
0
0
4
0
4
3
1
0
3
0
0
5
4
1
2
0
3
0
2
2
0
0
0
0
0
0
0
5
4
4
0
3
0
3
5
1
0
4
0
0
2
0
0
0
3
0
0
0
0
1
0
1
0
0
4
4
0
4
0
0
1
4
0
0
0
4
4
0
0
3
3
1
1
5
0
2
3
0
0
0
4
3
1
2
3
5
2
0
5
2
4
1
3
2
2
0
0
2
4
2
5
5
1
2
4
1
1
0
0
0
0
4
3
2
0
1
5
0
0
0
0
0
0
0
1
0
0
3
0
0
2
3
0
0
3
0
0
4
1
1
0
0
0
0
0
0
0
5
0
1
4
1
0
2
3
0
2
0
0
2
5
3
0
1
0
2
0
0
3
3
0
4
3
3
3
2
3
0
0
0
0
2
0
0
3
2
2
1
0
4
2
0
0
0
5
3
0
2
0
0
4
2
1
2
4
0
1
2
3
4
0
1
1
0
0
0
0
2
2
0
0
0
0
0
5
0
2
0
3
0
4
0
0
0
4
0
1
0
0
5
0
0
0
3
0
0
4
4
0
0
0
0
0
3
2
3
0
0
0
1
3
3
0
2
0
0
3
1
0
4
0
1
5
0
2
1
0
4
0
0
3
0
1
4
0
2
1
1
1
1
4
1
1
5
0
3
1
0
0
0
0
0
4
2
1
0
0
0
0
0
3
3
4
1
0
5
4
2
0
3
4
4
4
4
3
0
4
3
0
0
1
4
5
1
0
4
1
0
0
0
1
2
2
4
3
5
0
4
0
1
0
0
5
0
0
3
0
4
3
0
0
4
2
1
0
3
1
4
3
2
0
0
0
0
0
0
4
0
4
0
0
0
3
1
1
1
0
3
2
2
4
5
3
0
0
5
3
4
2
0
3
0
0
1
0
1
2
0
4
0
3
4
0
1
4
2
0
0
0
0
0
5
2
0
0
0
4
2
3
0
0
2
0
0
0
3
3
0
0
0
0
0
0
5
4
0
4
2
2
1
0
0
3
1
0
0
1
5
0
4
1
0
0
4
1
0
0
0
3
1
3
0
2
0
4
0
4
1
2
0
0
0
0
2
2
4
3
0
2
0
5
0
0
2
1
3
0
0
1
0
0
3
0
0
3
0
0
4
0
2
0
0
1
2
2
2
0
0
2
0
5
1
3
0
1
0
0
0
0
1
0
4
0
5
5
0
0
2
2
0
3
0
1
5
0
3
3
0
2
0
0
3
1
0
1
5
0
0
0
0
4
3
1
1
3
3
0
0
3
0
0
3
0
0
1
0
0
3
4
0
4
0
0
0
0
0
0
0
0
5
5
0
0
3
3
0
3
2
0
3
2
0
2
0
2
2
0
2
0
0
4
0
0
0
0
1
5
2
0
0
0
1
2
1
1
0
4
2
1
0
4
4
4
0
0
3
0
3
2
0
2
5
5
1
2
5
1
2
3
2
2
0
4
4
0
3
3
0
0
0
2
1
1
4
0
1
0
0
0
1
0
5
0
0
2
0
0
0
0
2
2
1
0
4
0
4
0
0
3
2
0
0
2
0
0
5
2
0
0
2
3
5
5
2
4
0
0
0
2
0
1
3
2
0
3
0
2
0
0
0
5
2
0
0
5
5
0
0
0
3
0
0
4
5
3
4
0
0
5
0
0
4
4
3
5
2
0
5
3
3
2
3
0
2
2
0
0
0
1
0
2
2
3
2
0
0
2
1
0
5
0
3
0
0
2
3
5
0
2
0
4
0
3
2
0
3
5
3
4
2
0
0
0
0
3
4
3
0
0
0
4
4
0
5
0
3
2
0
2
2
0
4
2
2
3
0
3
1
5
3
0
2
4
3
2
1
0
4
4
5
3
5
5
2
5
5
1
2
0
0
0
0
0
0
2
0
3
0
0
0
4
3
3
4
5
5
0
2
5
0
5
0
0
2
0
0
0
0
1
0
0
0
5
3
3
0
0
3
4
0
4
0
1
0
0
4
3
2
1
0
4
0
3
0
0
0
0
0
1
0
0
1
0
0
4
0
3
3
0
2
0
3
1
3
0
0
0
0
1
1
0
0
0
0
3
0
5
2
0
0
0
0
3
1
0
2
1
3
0
0
3
0
1
3
1
1
3
0
0
4
3
2
5
0
5
0
3
0
0
0
0
0
0
2
5
0
3
3
0
5
2
4
0
3
2
5
0
3
3
1
0
0
0
0
3
2
1
4
0
3
0
0
3
4
0
0
0
0
3
2
1
5
2
3
0
1
0
3
4
0
3
5
5
0
1
4
0
0
2
2
5
1
0
2
2
1
4
0
2
4
3
0
0
3
0
1
0
0
4
2
2
0
0
0
1
1
3
1
0
2
2
0
3
3
4
2
4
0
0
2
0
1
4
3
3
3
0
3
1
3
5
0
1
1
3
0
5
2
0
0
1
0
4
0
2
0
0
3
2
3
5
1
3
0
0
0
3
0
0
4
3
0
2
1
0
1
5
2
1
2
3
2
0
0
1
0
2
2
0
3
3
5
4
1
0
4
3
3
0
0
5
0
3
4
3
0
3
1
4
1
3
4
0
1
4
0
4
1
0
3
0
0
0
5
0
0
2
0
4
2
0
4
0
4
1
1
0
0
2
0
0
0
0
0
5
2
2
0
0
0
4
2
5
0
0
0
3
0
0
0
0
0
0
4
1
0
2
0
0
3
3
0
1
2
1
3
0
3
1
2
5
1
0
4
1
0
1
0
0
0
0
2
0
0
0
2
2
4
0
2
0
1
3
5
5
0
3
4
0
0
0
0
3
1
1
2
0
1
0
0
4
0
4
4
0
5
0
1
0
0
0
0
4
0
0
2
3
3
0
5
2
2
2
0
3
3
4
3
0
0
0
0
1
0
0
0
0
4
0
2
1
2
0
1
2
4
0
3
0
0
1
3
4
5
0
2
3
4
5
0
2
0
0
0
4
0
1
2
5
4
2
0
3
5
0
0
0
0
0
5
0
1
4
0
0
2
0
0
4
3
0
1
3
0
2
5
3
0
4
1
1
0
0
5
4
3
0
1
0
0
0
0
5
0
0
0
3
0
4
0
0
0
4
5
3
3
0
0
1
4
4
2
0
0
2
0
2
0
3
1
0
0
3
0
0
3
3
3
0
0
0
0
2
2
3
1
3
1
0
1
0
2
5
3
0
3
2
3
0
1
4
0
2
1
5
0
3
2
3
0
0
0
3
0
0
0
2
1
2
5
4
0
2
0
0
0
0
4
0
0
4
3
0
0
0
4
4
0
1
4
2
2
4
0
0
0
0
0
5
0
5
3
0
0
0
3
0
0
4
4
2
2
2
4
0
1
0
0
4
2
0
3
2
2
0
5
0
3
3
0
0
1
0
0
2
0
5
3
2
0
0
3
0
0
0
0
2
0
0
0
0
1
0
4
0
1
0
0
3
1
0
0
0
3
0
3
0
5
3
0
0
5
0
1
4
0
1
0
0
3
3
4
2
0
2
0
0
0
4
2
2
0
2
1
0
0
1
4
3
0
4
3
0
0
5
0
0
0
0
0
1
0
0
1
5
2
0
1
0
0
0
2
4
1
2
0
0
0
5
4
2
2
0
0
1
5
0
2
3
3
5
0
3
0
3
0
0
0
0
5
0
3
0
0
0
0
1
0
0
0
0
3
2
3
1
2
0
0
2
0
0
1
2
3
0
1
0
0
0
0
0
2
0
0
0
3
5
2
0
0
5
0
0
0
0
3
4
3
0
0
0
4
2
0
0
0
0
3
5
2
3
0
0
0
0
3
0
0
0
0
3
3
0
0
0
1
3
5
0
3
3
1
0
0
5
4
0
1
2
3
0
3
0
0
5
1
0
2
0
2
4
2
2
4
0
3
1
0
0
3
1
0
0
0
0
2
0
5
5
2
0
0
0
0
1
1
0
0
0
3
0
3
2
3
0
1
2
0
0
0
0
1
1
3
3
4
0
4
0
3
0
1
2
3
0
3
0
4
3
0
0
4
4
1
4
2
0
0
2
4
0
0
0
0
0
5
0
5
0
2
2
2
0
0
2
0
0
0
2
0
4
0
3
2
2
2
5
5
0
4
3
4
0
5
0
3
4
3
4
0
2
3
5
5
2
0
0
5
4
2
1
0
5
0
0
0
2
4
0
0
4
4
3
4
0
2
0
5
2
0
4
0
0
4
2
0
0
0
2
0
4
4
0
0
3
0
3
0
0
0
3
2
1
0
4
0
0
3
0
1
3
1
4
0
1
0
3
0
0
0
3
0
3
0
0
5
0
3
3
0
5
3
0
2
1
3
3
0
2
1
1
4
1
2
0
0
3
0
4
0
1
2
1
0
4
0
3
0
2
4
0
0
0
0
0
0
0
3
2
0
0
2
3
5
0
0
0
4
4
0
3
0
5
2
3
5
5
0
3
0
1
0
0
0
4
0
0
1
5
0
0
4
1
1
2
1
5
0
0
4
0
0
0
3
0
5
4
3
4
0
2
0
5
3
0
2
0
0
4
4
1
5
0
3
2
0
0
2
0
2
2
2
0
0
0
0
4
0
2
5
0
0
0
3
5
2
0
0
0
1
0
0
0
1
0
3
3
5
1
5
0
3
1
4
0
0
0
3
1
4
5
3
0
2
2
0
4
4
1
4
2
0
0
0
5
0
0
4
0
3
3
0
5
0
1
0
0
0
2
0
2
0
2
3
0
0
2
2
5
2
3
1
2
4
0
0
0
0
0
2
2
5
3
0
5
0
3
0
0
1
3
4
5
3
3
5
0
0
1
2
0
0
0
0
0
3
3
2
1
0
2
3
2
3
1
0
4
1
0
5
0
0
4
0
1
0
1
0
2
0
4
0
1
0
4
0
1
5
5
0
0
3
3
3
0
3
5
0
0
0
0
0
2
2
0
2
1
0
2
0
4
4
4
2
5
0
0
5
0
1
2
0
0
0
0
1
0
3
3
5
0
0
0
4
1
2
0
1
0
0
0
0
2
0
4
2
3
5
5
0
5
5
4
0
0
2
2
4
3
1
4
5
0
0
2
0
4
0
3
0
2
3
2
0
0
3
0
3
3
0
3
0
0
0
5
0
0
0
2
4
0
4
1
0
2
0
4
0
2
4
3
2
0
2
3
1
0
2
3
5
4
3
5
3
2
1
0
1
0
1
0
0
2
1
0
2
2
0
0
0
0
4
1
0
0
4
0
0
1
3
0
0
0
0
0
0
0
0
4
0
3
0
0
0
0
1
0
3
3
0
3
2
0
0
5
4
3
0
3
0
0
3
0
0
3
5
0
4
4
3
4
1
3
3
5
2
3
0
0
5
0
5
4
1
2
0
3
0
3
0
0
4
2
3
0
0
0
4
2
0
4
4
2
3
2
0
0
1
4
2
3
4
4
4
3
0
0
3
4
2
0
0
2
0
4
0
0
2
0
1
0
5
0
1
2
0
3
3
4
0
0
2
4
3
0
3
0
1
4
1
0
3
4
4
0
1
4
4
3
2
0
5
3
5
0
0
3
2
4
1
5
1
0
0
1
0
0
2
1
2
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
1
3
0
0
0
0
4
0
0
3
0
3
3
2
0
0
0
1
3
2
0
1
0
2
0
2
0
0
0
0
3
4
0
3
1
0
4
1
0
2
4
0
0
3
0
2
1
2
0
0
2
5
0
4
0
0
4
Answer 12
6%
0
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
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
0
4
0
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
0
3
5
0
2
0
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
0
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
0
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
0
3
4
2
0
2
0
0
4
0
5
0
0
0
3
0
2
0
0
5
1
3
0
1
4
0
0
5
0
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
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
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
0
1
0
0
0
1
5
0
0
1
2
0
2
3
3
0
4
0
0
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
0
1
4
0
3
5
3
0
3
0
0
0
0
0
4
0
5
0
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
0
1
3
0
0
2
3
5
3
0
2
2
0
4
0
2
2
0
1
0
4
4
0
3
0
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
0
1
2
3
0
3
0
0
0
0
3
5
0
0
3
4
4
1
0
4
0
0
2
0
0
0
2
1
5
0
0
0
0
3
0
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
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
0
3
2
0
0
2
0
0
4
0
0
3
0
0
0
1
0
0
5
2
3
0
3
0
3
0
0
1
3
3
5
3
1
0
5
0
0
2
0
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
0
3
4
1
2
3
5
1
2
1
3
0
4
4
0
0
0
0
1
2
0
0
3
2
0
5
0
1
0
0
0
5
2
0
5
2
5
1
0
0
5
0
0
0
3
0
4
1
4
0
1
4
0
0
3
2
4
2
0
0
4
2
1
0
5
0
0
0
3
0
4
0
2
4
3
3
5
5
3
0
1
0
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
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
0
3
0
0
4
5
2
3
0
0
4
4
0
0
1
3
2
0
1
0
0
0
0
4
0
0
0
4
0
0
0
1
1
0
3
3
2
5
0
2
3
1
0
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
0
3
5
0
2
4
4
3
2
0
4
3
1
0
5
4
5
0
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
0
3
4
5
2
4
0
4
4
0
0
0
1
0
0
0
2
4
0
4
1
1
0
3
5
2
0
0
4
1
0
5
0
0
1
0
0
2
4
0
0
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
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
0
4
0
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
0
3
3
5
3
3
5
4
0
0
0
2
3
2
0
0
3
0
4
0
1
3
0
0
4
0
0
2
1
5
2
0
0
0
2
2
0
3
0
1
5
5
0
3
2
0
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
0
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
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
0
3
0
0
0
4
2
2
0
4
0
3
0
1
2
0
0
0
2
1
0
0
0
0
0
0
4
2
0
0
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
0
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
0
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
0
2
3
0
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
0
3
0
0
0
5
3
0
1
0
5
3
3
3
0
4
0
2
0
0
4
3
0
2
1
0
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
0
1
0
0
1
0
2
2
0
2
0
2
3
5
0
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
0
3
0
4
1
4
1
0
1
4
0
0
5
0
0
0
2
3
0
4
4
4
0
0
4
0
1
3
5
1
0
2
0
5
5
2
0
0
0
0
0
1
0
2
0
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
0
1
1
0
0
1
1
0
0
0
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
0
1
1
4
1
0
0
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
0
2
1
5
0
0
0
3
4
0
5
2
0
0
5
3
0
5
0
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
0
4
3
4
0
3
3
0
0
0
0
2
4
0
0
2
0
0
5
0
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
0
2
2
4
5
1
4
1
0
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
0
1
0
0
0
0
0
5
5
2
2
0
0
1
0
0
2
4
4
0
1
0
0
5
0
0
2
3
1
4
2
5
5
3
0
5
5
4
0
0
5
2
2
5
0
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
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
0
2
0
2
0
1
3
2
0
3
0
5
5
0
0
4
4
4
5
2
0
0
0
2
0
0
0
0
0
5
0
0
0
1
5
1
0
0
5
0
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
0
4
0
0
5
3
0
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
0
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
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
0
4
4
0
0
1
0
3
0
4
1
3
0
2
1
4
0
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
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
0
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
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
0
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
0
3
0
0
0
0
1
0
0
0
0
0
0
3
1
1
0
0
0
0
4
2
3
0
5
0
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
0
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
0
5
0
2
0
5
1
2
5
1
0
0
0
1
0
0
5
0
0
1
0
1
2
0
0
0
3
0
1
0
0
1
0
2
4
0
2
4
1
0
0
5
0
4
3
0
0
0
4
0
0
0
0
0
0
0
3
0
0
1
0
5
3
0
1
3
2
3
1
0
4
2
5
0
0
1
0
0
2
0
0
2
Answer 13
5%
0
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
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
0
5
0
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
0
3
4
0
1
0
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
0
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
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
0
4
4
3
0
1
0
0
4
0
5
0
0
0
1
0
3
0
0
4
3
0
0
1
1
3
0
1
4
0
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
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
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
0
4
0
1
0
1
3
2
0
1
1
0
3
0
3
0
3
0
0
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
0
1
4
0
1
2
3
0
0
0
0
2
1
0
4
0
1
0
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
0
3
3
0
0
2
4
3
2
0
2
0
0
3
0
1
5
0
3
0
4
4
0
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
0
5
3
3
0
2
0
2
0
0
3
4
0
0
1
4
3
1
0
4
0
0
3
0
0
0
3
0
0
0
0
0
0
4
0
0
4
3
0
3
0
0
4
0
0
0
0
1
5
5
0
1
0
0
2
5
3
1
4
0
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
0
2
3
5
0
4
0
0
3
0
0
0
3
0
0
4
2
4
0
1
0
0
0
0
0
3
0
1
2
0
0
4
0
0
2
0
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
0
2
3
0
1
1
5
1
2
1
2
0
1
2
0
0
0
0
1
2
0
0
0
0
0
5
0
3
0
0
0
1
5
0
0
0
4
1
0
0
5
0
0
0
1
0
0
2
4
0
0
4
0
0
0
2
4
0
0
0
1
1
0
0
5
0
0
0
2
0
2
0
2
3
0
2
3
5
4
0
0
1
0
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
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
0
3
1
5
3
5
2
2
0
0
3
3
0
3
2
3
2
0
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
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
0
2
3
0
0
3
2
3
1
0
2
4
3
0
0
4
5
0
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
0
1
3
2
0
3
0
4
2
0
0
0
0
0
4
0
2
4
3
3
1
1
0
2
4
3
0
0
3
1
0
5
0
0
1
0
0
0
3
0
0
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
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
0
2
0
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
0
2
5
5
1
1
0
5
2
0
0
2
0
1
0
3
0
0
0
0
2
1
0
3
0
0
0
0
1
4
1
0
0
0
2
0
0
2
0
1
5
5
3
1
1
0
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
0
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
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
0
1
2
0
4
0
4
0
1
2
0
0
0
0
0
1
2
0
0
0
0
2
3
0
0
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
0
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
0
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
0
3
1
0
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
0
5
0
0
0
4
0
0
3
0
4
2
5
3
3
5
3
5
0
0
5
3
0
0
3
0
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
0
1
0
0
0
0
2
2
0
3
0
5
2
0
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
0
3
0
4
4
1
2
0
2
5
0
0
5
0
0
0
2
0
2
2
0
2
0
0
3
0
3
0
5
0
0
2
0
0
5
1
4
0
1
0
0
1
2
0
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
0
2
2
0
0
1
0
0
0
0
0
5
0
0
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
0
2
0
1
0
0
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
0
1
0
5
0
0
0
1
3
5
5
3
0
3
5
0
0
5
0
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
0
4
0
1
4
0
2
0
3
0
0
0
0
0
4
0
0
0
0
0
4
0
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
0
1
1
2
5
0
3
0
0
0
0
1
0
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
0
1
0
0
1
0
0
1
5
3
2
0
0
0
0
0
2
1
1
0
2
0
0
3
0
0
2
1
0
0
2
2
3
0
0
5
5
2
0
0
4
2
1
0
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
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
0
3
0
2
0
1
2
2
0
2
0
5
5
0
0
3
3
1
3
0
0
0
3
2
0
0
0
0
0
0
0
0
0
1
0
2
0
0
2
0
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
0
4
0
0
2
3
2
0
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
0
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
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
0
3
0
3
0
1
0
3
0
4
3
3
0
2
1
2
0
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
0
1
0
3
5
0
4
0
4
4
3
0
5
0
0
5
0
1
4
0
0
0
4
1
0
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
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
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
0
2
0
0
4
0
0
0
0
0
0
1
0
0
0
0
0
0
3
2
3
0
0
0
0
0
4
0
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
0
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
0
4
0
0
0
0
1
0
4
2
0
0
0
1
0
0
5
0
0
2
0
2
0
0
0
0
2
0
0
0
3
4
0
4
4
0
2
4
1
0
0
0
0
2
1
0
0
0
4
0
0
0
0
0
0
0
2
0
0
3
0
3
1
0
4
0
3
4
5
0
1
0
0
0
0
1
0
0
3
0
1
2
Answer 14
6%
2
0
5
0
5
0
0
4
2
1
0
0
0
0
1
2
0
5
4
0
5
1
0
1
0
5
5
5
5
5
0
0
0
0
0
4
5
0
0
0
0
1
0
5
0
1
2
0
3
0
3
3
0
0
4
2
0
1
0
0
1
2
2
0
4
0
3
3
0
0
0
0
0
0
0
1
0
0
0
0
4
0
3
1
2
4
0
3
0
4
5
0
3
5
0
0
0
3
0
3
0
0
5
0
4
0
0
3
0
0
0
5
1
2
0
0
4
1
0
0
3
0
5
3
2
2
4
4
0
3
0
5
4
0
1
0
2
0
0
1
1
3
0
0
0
1
0
3
5
5
0
2
1
0
3
1
0
0
2
1
5
0
0
2
2
1
5
1
0
0
1
1
0
3
2
1
3
0
4
2
3
0
5
0
4
2
0
2
0
3
3
0
0
3
1
5
2
2
5
0
4
0
1
0
1
0
4
1
0
1
0
0
5
1
4
1
4
1
0
3
0
0
3
5
3
5
1
4
0
0
0
0
5
0
4
4
4
2
2
3
0
0
3
5
0
0
2
1
0
2
0
0
5
1
2
3
2
0
0
0
0
0
0
0
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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
0
5
3
3
0
1
0
4
0
2
0
4
0
2
0
3
5
3
0
4
0
3
3
0
4
0
4
3
2
0
2
3
0
0
4
0
2
1
4
0
0
0
0
2
4
0
1
0
2
1
0
0
0
0
0
0
2
0
2
2
0
0
1
0
5
0
0
4
3
0
3
1
5
0
0
3
5
0
3
0
5
4
Answer 15
5%
0
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
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
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
0
4
2
0
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
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
0
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
0
1
5
3
0
2
2
0
3
0
3
0
0
0
1
0
2
0
0
0
2
0
0
1
3
0
0
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
0
1
0
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
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
0
5
0
3
0
1
1
1
0
0
0
0
0
1
0
0
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
0
3
5
0
2
0
1
5
0
5
0
5
2
0
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
0
1
2
0
0
2
5
3
4
0
3
0
0
2
0
4
0
0
0
0
2
0
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
0
1
0
2
0
0
0
0
0
0
3
3
2
0
5
3
1
0
0
4
0
0
3
0
0
0
4
0
0
0
0
0
0
2
0
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
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
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
0
5
2
0
0
0
2
0
1
2
0
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
0
2
5
1
1
1
0
1
0
2
0
0
1
3
0
0
0
5
0
4
0
0
0
4
2
1
0
5
0
5
0
4
0
2
0
5
2
0
0
0
4
0
0
0
1
0
0
0
4
0
0
0
0
0
4
4
1
0
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
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
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
0
3
0
0
3
3
2
4
0
0
1
0
0
0
1
5
1
3
3
0
0
0
4
0
0
5
0
3
0
0
0
4
1
0
0
1
3
0
0
1
1
0
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
0
3
5
4
5
2
2
2
1
0
5
3
0
2
5
0
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
0
2
1
5
0
4
0
5
1
0
0
0
1
0
2
0
3
4
0
0
4
2
2
3
5
3
0
0
4
1
0
1
0
0
1
0
0
4
2
0
0
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
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
0
3
0
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
0
4
0
3
5
3
4
3
5
0
0
1
3
5
0
2
1
0
0
0
3
1
0
5
0
1
3
0
1
3
0
0
1
0
3
0
0
1
0
0
3
0
0
1
0
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
0
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
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
0
3
0
0
0
0
0
2
0
3
0
1
0
1
0
0
0
0
5
0
0
0
0
0
0
0
4
2
0
0
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
0
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
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
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
0
2
0
0
0
3
0
0
1
0
1
4
1
1
4
1
0
5
0
0
5
4
0
5
3
0
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
0
1
0
0
4
0
1
1
0
3
0
3
3
0
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
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
0
3
0
3
4
2
0
0
0
0
0
0
0
3
0
5
0
1
2
0
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
0
2
2
0
1
1
0
0
0
0
0
5
0
0
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
0
4
2
1
0
0
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
0
0
4
0
0
0
4
0
3
4
0
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
0
4
4
1
5
3
0
0
3
0
0
3
2
3
2
0
0
3
4
0
1
0
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
0
1
3
2
4
1
0
0
0
0
0
3
0
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
0
2
4
1
0
0
1
0
0
2
2
5
0
1
0
0
1
0
0
3
3
0
0
3
0
3
0
0
5
5
0
0
0
2
0
0
5
0
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
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
0
3
0
3
2
2
3
2
3
1
0
2
3
5
0
2
0
1
5
0
0
0
0
0
0
4
0
0
0
2
0
0
0
3
4
4
3
0
3
0
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
0
4
3
2
4
1
0
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
0
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
0
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
0
5
0
0
2
2
0
3
0
3
1
4
0
0
3
1
0
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
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
0
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
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
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
0
2
0
0
0
3
0
0
0
0
0
0
0
0
0
3
0
0
0
3
3
1
0
4
0
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
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
0
5
0
0
0
3
0
0
0
0
0
0
0
1
0
0
5
0
0
0
0
2
0
0
0
0
5
5
0
0
0
2
2
0
3
0
0
5
2
0
0
0
0
4
0
5
0
0
3
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
1
0
4
0
0
0
2
0
2
2
Answer 16
2%
0
0
0
0
0
0
0
1
0
0
0
4
0
0
1
0
0
0
2
0
4
0
0
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1
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1
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1
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1
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1
2
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0
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1
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0
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1
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1
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1
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1
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1
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3
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0
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4
0
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1
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1
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1
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1
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1
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0
0
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2
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You can not only just create your poll in mutero «V.U.C.A sarudzo mugadziri» (with a unique link and your logo) but also you can earn money by selling its results in mutero «Poll Shop», as already the authors of polls.

The correlation analysis revealed intriguing patterns that can be utilized in practice across various domains. Here's how you can leverage this valuable information.

Understanding Cultural Variations: By examining the correlation between fears and Spiral Dynamics colors across different countries and languages, we gain deeper insights into cultural variations in how fears manifest and are influenced by different value systems. This understanding can be invaluable for individuals and organizations operating in multicultural settings, helping them navigate diverse perspectives and tailor strategies accordingly.

Personal and Professional Development: Recognizing the correlation between fears and Spiral Dynamics colors can give individuals powerful self-awareness and personal growth opportunities. By understanding how their fears align with specific color values, individuals can gain insights into their own value systems and areas for personal development. This awareness can also enhance interpersonal dynamics and collaboration within teams.

Leadership and Team Management: The correlation between fears and Spiral Dynamics colors can have practical implications for leadership and team management. Leaders can leverage this knowledge to identify potential sources of fear within their teams and implement targeted strategies to address them. Leaders can enhance trust, teamwork, and overall team performance by fostering an environment that acknowledges and supports individuals' fears based on their value systems.

Cross-Cultural Collaboration: The correlation findings provide a unique opportunity for cross-cultural collaboration. Professionals from different countries and languages can use this knowledge to bridge cultural gaps, empathize with others' fears, and build meaningful connections based on a deeper understanding of diverse value systems. It can catalyze more inclusive and effective collaboration.

Psychological and Societal Insights: The correlation between fears and Spiral Dynamics colors over time and across countries and languages offers valuable insights into psychological and societal dynamics. It can contribute to our understanding of how fears evolve, adapt, and shape individuals and communities. This knowledge can inform research, policy-making, and interventions to address societal challenges and promote well-being.

The intersection of fears and Spiral Dynamics colors opens up many possibilities for personal growth, leadership effectiveness, cross-cultural understanding, and societal impact. Let's leverage these findings to foster a more empathetic, inclusive, and supportive world.

I invite you to dive into the full research report, engage in meaningful discussions, and explore how these insights can be applied in your personal and professional endeavors. Together, we can make a difference!

The list of fears continued:
  • aerophobia - fear of flying (in an airplane),
  • aichmophobia - fear of sharp objects,
  • ailurophobia - fear of cats,
  • aquaphobia - fear of water,
  • anatidaephobia - fear that somewhere, a duck or goose is watching you,
  • androphobia - fear of men,
  • anthropophobia - fear of people, crowds,
  • astraphobia - fear of thunder and lightning,
  • atelophobia - fear of imperfection,
  • athazagoraphobia - fear of forgetting someone or something, as well as a fear of being forgotten,
  • atychiphobia - fear of failure,
  • autophobia or monophobia - fear of being alone,
  • cherophobia - fear of happiness, a person has an irrational aversion to being happy,
  • coulrophobia - fear when you see clowns or clown images,
  • cynophobia - fear of dogs,
  • dentophobia - fear of dentistry,
  • dermatophobia - fear of getting a skin disease,
  • erythrophobia - fear of blushing,
  • entomophobia - fear of insects,
  • gamophobia - fear of commitment or marriage,
  • glenophobia - fear of looking at dolls or special situations,
  • glossophobia - fear of public speaking,
  • gynophobia - fear of women,
  • hemophobia - fear of seeing blood or getting tests or shots where blood may be involved,
  • haphephobia - fear of being touched,
  • hypsophobia - fear of heights,
  • hippopotomonstrosesquippedaliophobia - the fear of long words,
  • homicidophobia - fear of committing murder,
  • herpetophobia - fear or aversion to reptiles, commonly lizards and snakes,
  • maniophobia - fear of madness,
  • mephobia - fear of becoming so awesome that the human race can't handle it and everybody dies,
  • misophobia - fear of hatred,
  • mysophobia - fear of contamination and germs,
  • nosophobia - fear of injury, incurable disease, infection,
  • nomophobia (NO MObile PHone PhoBIA) - fear of being without a mobile device, or beyond mobile phone contact,
  • nyctophobia - fear of the dark,
  • ophidiophobia - fear of snakes,
  • ombrophobia - fear of rain, from intense weather to a drizzle,
  • pediophobia - fear of children, dolls, or inanimate objects that look real,
  • philophobia - fear of falling in love,
  • phobophobia - fear of being afraid,
  • phonophobia - fear of sound,
  • pantophobia - all-encompassing compulsive fear,
  • pistanthrophobia - fear of trusting people or getting hurt by someone in a romantic relationship,
  • sitophobia - fear of eating,
  • scoptophobia - fear of scrutiny that can interfere with your daily activities in many ways,
  • scopophobia - fear of being seen in public or stared at by others,
  • social phobia - fear in social settings, fear of situations in which you may be judged negatively,
  • somniphobia - fear of sleep,
  • suicidophobia - fear of committing suicide,
  • taphophobia - fear of being buried alive,
  • thanatophobia - fear of sudden death,
  • tokophobia - fear of pregnancy and can lead to avoidance of childbirth,
  • trichophobia - fear of seeing or touching hair,
  • trypanophobia - fear of needles,
  • venustraphobia - fear of beautiful women,
  • xenophobia - fear of the unknown; in modern usage, the word has evolved to mean the fear of strangers or foreigners — but its original meaning is much broader.

2023.04.07
Valerii Kosenko
Chigadzirwa muridzi saas pet projekiti sdtest®

Valerii aive akakodzera semagariro pedagogue-psychologist muna1993 uye kubva paakashandisa ruzivo rwake mune Project manejimendi.
Valerii akawana degree raTenzi uye chirongwa uye chirongwa chezvirongwa
Valerii akatora akasiyana-siyana ehupamhi ehupamhi bvunzo uye akashandisa ruzivo rwake uye ruzivo rwekuziva iyo yazvino shanduro yeSdtest.
Valeri ndiye munyori wekuongorora kusagadzikana kweV.u.c.C.a. Pfungwa ichishandisa Spiral Dynamics uye manhamba emasvomhu muPsychology, anopfuura makumi maviri emapauro epasi rose.
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