Is it possible to recover the flow for each edge after running the Push-relabel algorithm on a graph?

It seems like some inside cycles of flow can exist after running the algorithm.

Hi guys! I have prepared for you some statistics on how countries are performing against each other in Codeforces which I hope you will find interesting!

Top 5 countries with the most users with certain rank:

Top 5 countries with highest percentage of their users in a certain rank:

(Here I don't count countries that have less than 10 Codeforces users)

Newbie:

Pupil:

Specialist:

Expert:

Candidate Master:

Master:

International Master:

Grandmaster:

International Grandmaster:

Legendary grandmaster:

And some lists:

List of countries ordered by average rating:

(again users>=10)

1. North Korea with average rating of 1835 and user count of 53
2. Finland with average rating of 1751 and user count of 54
3. Sweden with average rating of 1735 and user count of 59
4. Poland with average rating of 1729 and user count of 503
5. Switzerland with average rating of 1715 and user count of 53
6. New Zealand with average rating of 1699 and user count of 19
7. Slovakia with average rating of 1698 and user count of 84
8. China with average rating of 1662 and user count of 7786
9. Australia with average rating of 1659 and user count of 95
10. Hungary with average rating of 1656 and user count of 58
11. Japan with average rating of 1653 and user count of 997
12. Taiwan with average rating of 1650 and user count of 482
13. Latvia with average rating of 1649 and user count of 74
14. Czechia with average rating of 1648 and user count of 115
15. Canada with average rating of 1641 and user count of 228
16. Croatia with average rating of 1633 and user count of 178
17. Israel with average rating of 1630 and user count of 34
18. Netherlands with average rating of 1629 and user count of 56
19. South Korea with average rating of 1615 and user count of 694
20. Iceland with average rating of 1614 and user count of 13
21. South Africa with average rating of 1612 and user count of 23
22. Argentina with average rating of 1612 and user count of 134
23. Hong Kong with average rating of 1605 and user count of 164
24. Thailand with average rating of 1603 and user count of 190
25. Slovenia with average rating of 1602 and user count of 29
26. Italy with average rating of 1599 and user count of 115
27. Singapore with average rating of 1591 and user count of 88
28. United States with average rating of 1590 and user count of 1067
29. Denmark with average rating of 1583 and user count of 23
30. Austria with average rating of 1582 and user count of 23
31. Germany with average rating of 1578 and user count of 157
32. France with average rating of 1575 and user count of 140
33. Bulgaria with average rating of 1575 and user count of 185
34. Norway with average rating of 1571 and user count of 30
35. United Kingdom with average rating of 1567 and user count of 113
36. Romania with average rating of 1565 and user count of 686
37. Estonia with average rating of 1563 and user count of 41
38. Spain with average rating of 1555 and user count of 103
39. Philippines with average rating of 1553 and user count of 52
40. Serbia with average rating of 1544 and user count of 175
41. Turkey with average rating of 1533 and user count of 349
42. Brazil with average rating of 1532 and user count of 766
43. Belarus with average rating of 1532 and user count of 962
44. Lebanon with average rating of 1526 and user count of 38
45. Greece with average rating of 1525 and user count of 52
46. Vietnam with average rating of 1524 and user count of 1512
47. Belgium with average rating of 1523 and user count of 53
48. Russia with average rating of 1516 and user count of 6225
49. Ukraine with average rating of 1503 and user count of 1382
50. Cyprus with average rating of 1500 and user count of 19
51. Cuba with average rating of 1498 and user count of 194
52. Macedonia with average rating of 1496 and user count of 70
53. Mexico with average rating of 1488 and user count of 208
54. Bosnia and Herzegovina with average rating of 1484 and user count of 27
55. Portugal with average rating of 1483 and user count of 40
56. Turkmenistan with average rating of 1479 and user count of 75
57. Armenia with average rating of 1472 and user count of 155
58. Iran with average rating of 1466 and user count of 1552
59. Ireland with average rating of 1464 and user count of 32
60. Zimbabwe with average rating of 1462 and user count of 11
61. Mongolia with average rating of 1462 and user count of 127
62. Lithuania with average rating of 1460 and user count of 120
63. Moldova with average rating of 1459 and user count of 101
64. Indonesia with average rating of 1459 and user count of 594
65. Chile with average rating of 1459 and user count of 55
66. Peru with average rating of 1452 and user count of 218
67. Malaysia with average rating of 1448 and user count of 67
68. Venezuela with average rating of 1438 and user count of 71
69. Kyrgyzstan with average rating of 1434 and user count of 122
70. Sri Lanka with average rating of 1430 and user count of 30
71. Kazakhstan with average rating of 1423 and user count of 1031
72. Georgia with average rating of 1417 and user count of 314
73. India with average rating of 1408 and user count of 9103
74. Tajikistan with average rating of 1398 and user count of 131
75. Uzbekistan with average rating of 1392 and user count of 320
76. Colombia with average rating of 1389 and user count of 229
77. Syria with average rating of 1377 and user count of 392
78. Azerbaijan with average rating of 1377 and user count of 114
79. Pakistan with average rating of 1368 and user count of 19
80. Nepal with average rating of 1358 and user count of 17
81. Palestinian Territory with average rating of 1351 and user count of 17
82. Morocco with average rating of 1341 and user count of 143
83. Egypt with average rating of 1335 and user count of 1930
84. Saudi Arabia with average rating of 1330 and user count of 29
85. Jordan with average rating of 1321 and user count of 245
86. Tunisia with average rating of 1319 and user count of 258
87. Oman with average rating of 1317 and user count of 10
88. Bolivia with average rating of 1317 and user count of 115
89. Dominican Republic with average rating of 1304 and user count of 78
90. Bangladesh with average rating of 1262 and user count of 3338

List of countries by Topcoder-like score

(users>=10)

1. Russia with score of 2974
2. China with score of 2931
3. Japan with score of 2779
4. South Korea with score of 2775
5. Poland with score of 2738
6. United States with score of 2679
7. Belarus with score of 2655
8. Ukraine with score of 2633
9. Taiwan with score of 2523
10. Romania with score of 2476
11. Croatia with score of 2461
12. Iran with score of 2458
13. Canada with score of 2405
14. India with score of 2399
15. Vietnam with score of 2367
16. Brazil with score of 2338
17. Australia with score of 2338
18. Indonesia with score of 2320
19. Hong Kong with score of 2305
20. Kazakhstan with score of 2290
21. Switzerland with score of 2287
22. North Korea with score of 2273
23. Czechia with score of 2250
24. Sweden with score of 2249
25. Thailand with score of 2230
26. Slovakia with score of 2225
27. Argentina with score of 2224
28. Finland with score of 2202
29. Bangladesh with score of 2202
30. Bulgaria with score of 2201
31. Latvia with score of 2186
32. Turkey with score of 2174
33. Germany with score of 2174
34. Egypt with score of 2173
35. Singapore with score of 2150
36. Serbia with score of 2138
37. Armenia with score of 2124
38. Italy with score of 2115
39. France with score of 2110
40. United Kingdom with score of 2107
41. Lithuania with score of 2100
42. Georgia with score of 2097
43. Netherlands with score of 2085
44. Uzbekistan with score of 2073
45. Spain with score of 2072
46. Syria with score of 2065
47. Hungary with score of 2053
48. Peru with score of 2049
49. Cuba with score of 2037
50. Mexico with score of 2016
51. Moldova with score of 1988
52. Philippines with score of 1969
53. Belgium with score of 1967
54. Jordan with score of 1960
55. Kyrgyzstan with score of 1951
56. Colombia with score of 1950
57. Estonia with score of 1942
58. Malaysia with score of 1925
59. South Africa with score of 1904
60. Tajikistan with score of 1903
61. Israel with score of 1898
62. Azerbaijan with score of 1888
63. Slovenia with score of 1873
64. Turkmenistan with score of 1872
65. Macedonia with score of 1869
66. Mongolia with score of 1858
67. Greece with score of 1851
68. Venezuela with score of 1838
69. Austria with score of 1824
70. Portugal with score of 1790
71. Lebanon with score of 1775
72. Iceland with score of 1775
73. Denmark with score of 1757
74. New Zealand with score of 1748
75. Chile with score of 1737
76. Bolivia with score of 1732
77. Morocco with score of 1730
78. Norway with score of 1724
79. Tunisia with score of 1706
80. Dominican Republic with score of 1696
81. Bosnia and Herzegovina with score of 1678
82. Sri Lanka with score of 1655
83. Ireland with score of 1650
84. Cyprus with score of 1618
85. Zimbabwe with score of 1581
86. Saudi Arabia with score of 1536
87. Nepal with score of 1459
88. Pakistan with score of 1449
89. Palestinian Territory with score of 1429
90. Oman with score of 1364

List of countries ordered by highest rated user

(users>=10)

1. Belarus with highest rating of 3496 and user count of 962
2. Russia with highest rating of 3298 and user count of 6225
3. China with highest rating of 3294 and user count of 7786
4. Switzerland with highest rating of 3218 and user count of 53
5. Australia with highest rating of 3109 and user count of 95
6. Japan with highest rating of 3106 and user count of 997
7. Poland with highest rating of 3084 and user count of 503
8. South Korea with highest rating of 3071 and user count of 694
9. United States with highest rating of 3014 and user count of 1067
10. South Africa with highest rating of 2941 and user count of 23
11. Ukraine with highest rating of 2914 and user count of 1382
12. Croatia with highest rating of 2851 and user count of 178
13. Romania with highest rating of 2835 and user count of 686
14. Sweden with highest rating of 2801 and user count of 59
15. Slovakia with highest rating of 2749 and user count of 84
16. Iran with highest rating of 2747 and user count of 1552
17. Czechia with highest rating of 2732 and user count of 115
18. Taiwan with highest rating of 2726 and user count of 482
19. Canada with highest rating of 2698 and user count of 228
20. Malaysia with highest rating of 2691 and user count of 67
21. Lithuania with highest rating of 2689 and user count of 120
22. Netherlands with highest rating of 2687 and user count of 56
23. France with highest rating of 2684 and user count of 140
24. Latvia with highest rating of 2671 and user count of 74
25. Hong Kong with highest rating of 2655 and user count of 164
26. Italy with highest rating of 2614 and user count of 115
27. Brazil with highest rating of 2582 and user count of 766
28. Armenia with highest rating of 2575 and user count of 155
29. Finland with highest rating of 2551 and user count of 54
30. India with highest rating of 2549 and user count of 9103
31. Argentina with highest rating of 2543 and user count of 134
32. North Korea with highest rating of 2502 and user count of 53
33. Indonesia with highest rating of 2489 and user count of 594
34. Kazakhstan with highest rating of 2471 and user count of 1031
35. Moldova with highest rating of 2437 and user count of 101
36. Bangladesh with highest rating of 2435 and user count of 3338
37. Thailand with highest rating of 2434 and user count of 190
38. Vietnam with highest rating of 2433 and user count of 1512
39. United Kingdom with highest rating of 2429 and user count of 113
40. Philippines with highest rating of 2421 and user count of 52
41. Turkey with highest rating of 2410 and user count of 349
42. Singapore with highest rating of 2400 and user count of 88
43. Bulgaria with highest rating of 2384 and user count of 185
44. Estonia with highest rating of 2379 and user count of 41
45. Germany with highest rating of 2366 and user count of 157
46. Cuba with highest rating of 2361 and user count of 194
47. Belgium with highest rating of 2352 and user count of 53
48. Spain with highest rating of 2327 and user count of 103
49. Syria with highest rating of 2325 and user count of 392
50. Uzbekistan with highest rating of 2323 and user count of 320
51. Jordan with highest rating of 2305 and user count of 245
52. Serbia with highest rating of 2286 and user count of 175
53. Dominican Republic with highest rating of 2279 and user count of 78
54. Egypt with highest rating of 2271 and user count of 1930
55. Mexico with highest rating of 2248 and user count of 208
56. Iceland with highest rating of 2242 and user count of 13
57. Austria with highest rating of 2227 and user count of 23
58. Hungary with highest rating of 2213 and user count of 58
59. Peru with highest rating of 2210 and user count of 218
60. Georgia with highest rating of 2206 and user count of 314
61. Colombia with highest rating of 2200 and user count of 229
62. Kyrgyzstan with highest rating of 2196 and user count of 122
63. Slovenia with highest rating of 2188 and user count of 29
64. Tajikistan with highest rating of 2147 and user count of 131
65. Portugal with highest rating of 2110 and user count of 40
66. Zimbabwe with highest rating of 2107 and user count of 11
67. Venezuela with highest rating of 2103 and user count of 71
68. Greece with highest rating of 2103 and user count of 52
69. New Zealand with highest rating of 2092 and user count of 19
70. Macedonia with highest rating of 2077 and user count of 70
71. Sri Lanka with highest rating of 2073 and user count of 30
72. Israel with highest rating of 2071 and user count of 34
73. Turkmenistan with highest rating of 2038 and user count of 75
74. Morocco with highest rating of 2029 and user count of 143
75. Denmark with highest rating of 2029 and user count of 23
76. Azerbaijan with highest rating of 2013 and user count of 114
77. Mongolia with highest rating of 1993 and user count of 127
78. Lebanon with highest rating of 1967 and user count of 38
79. Cyprus with highest rating of 1966 and user count of 19
80. Saudi Arabia with highest rating of 1958 and user count of 29
81. Ireland with highest rating of 1947 and user count of 32
82. Bolivia with highest rating of 1933 and user count of 115
83. Chile with highest rating of 1911 and user count of 55
84. Tunisia with highest rating of 1903 and user count of 258
85. Norway with highest rating of 1849 and user count of 30
86. Bosnia and Herzegovina with highest rating of 1846 and user count of 27
87. Nepal with highest rating of 1703 and user count of 17
88. Pakistan with highest rating of 1625 and user count of 19
89. Palestinian Territory with highest rating of 1617 and user count of 17
90. Oman with highest rating of 1465 and user count of 10