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Japanese mahjong scoring rules
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==Steps of calculation== The payment to the winner of a hand is calculated as follows: :1. Counting ''[[#Counting han|han]]'' (飜) :2. If it is five ''han'' or more, it is ''[[#Mangan|mangan]]'' (満貫) or more and the calculation of [[#Calculating basic points|basic points]] is omitted :3. Counting ''[[#Counting fu|fu]]'' (符) :4. If it is clear that the ''han'' and ''fu'' yield more than ''mangan'', the calculation of basic points is omitted :5. Calculating the basic points based on the ''fu'' and ''han'' :6. Multiplying the basic points depending on whether the winner is the dealer or non-dealer, and whether the hand is won by ''tsumo'' or ''ron'' :7. Adding bonuses based on the number of [[#Counters|counters]]'' :(8. Adjusting the payment by the ''[[#Wareme|wareme]]'' rule) In the case of a draw, points are transferred according to the ''[[#Point_exchange|nō-ten bappu]]'' rule. In the event of a penalty, such as claiming a win with an illegal hand, then points are transferred via the ''[[#Chombo|chombo]]'' rule. ===Counting han=== The total number of ''han'' (飜) of all the kinds of ''[[Japanese Mahjong yaku|yaku]]'' (役; winning hand) in the hand is summed up. Each ''[[Japanese Mahjong#Dora|dora]]'' (ドラ) increases the ''han'' value of a hand. ''Dora'' are not regarded as ''yaku'', and no hand can be won without a ''yaku'' even if there are some ''dora'' tiles. If there is more than one way to arrange the winning hand, the arrangement with the highest ''han'' is used. For example, a hand could be either ''ryanpeikou'' (二盃口) or ''chītoitsu'' (七対子), but since ''ryanpeikou'' is three ''han'' where ''chītoitsu'' is two ''han'', ''ryanpeikou'' should prevail. Some ''yaku'' have their ''han'' value reduced by one if the hand is not closed. If a hand has five ''han'' or more, it is always counted by ''[[#Mangan|mangan]]'' (満貫) as a unit and it is not necessary to calculate ''[[#Counting fu|fu]]'' (符) or [[#Calculating basic points|basic points]]. ===Counting fu=== ''Fu'' (符) is counted in the order below and then rounded up to the tens. There may be variations of rules for counting it. [Three ''han'' with 70 ''fu'' or more] and [four ''han'' with 40 ''fu'' or more] yield more than ''mangan'' and there is no need to calculate basic points. # A winning hand is automatically awarded 20 ''fu''. This is called ''fūtei'' (副底). # Ten ''fu'' are added if one wins by claiming a discarded tile with a closed hand. This is called ''menzen-kafu'' (門前加符). # Add ''fu'' of the melds and the pair. (See the list below.) # Add ''fu'' according to how the waiting was. (See the list below.) # Add two ''fu'' if one wins by self-draw. This way of winning is called ''tsumo'' (自摸, or ツモ). However, if the winning hand includes a ''yaku'' of [[Japanese Mahjong yaku#No-points hand|no-points hand]] (''pinfu'', 平和), in most rules the two ''fu'' are not awarded and the hand is counted as a total of 20 ''fu''. # Winning with ''yaku'' which include [[Japanese Mahjong yaku#Special criteria|seven pairs]] (''chītoitsu'', 七対子) is counted as 25 ''fu'' altogether. The value is not rounded up to the tens. Some rules say seven pairs has 50 ''fu'' and one ''han'', especially in the [[Kansai region]]. # As an exception, if one wins by claiming a discard with an open hand with melds and waits to which no ''fu'' is awarded, the hand is not 20 ''fu'' but counted as a total of 30 ''fu''. This is the ''fu'' for an open ''pinfu''. ====Fu of melds==== The list for the third step: {| class="wikitable" border="1" |-align="center" |width="40%"| |width="30%"|simple tiles |width="30%"|terminal or honor tiles |- |''minkō'' (明刻),<br />or ''min-kōtsu'' (明刻子)<br>(open same three tiles meld, an open triplet) || 2 ''fu''|| 4 ''fu'' |- |''ankō'' (暗刻),<br />or ''an-kōtsu'' (暗刻子)<br>(closed same three tiles meld, a closed triplet) || 4 ''fu''|| 8 ''fu'' |- |''minkan'' (明槓),<br />or ''min-kantsu'' (明槓子)<br>(open same four tiles meld, an open ''kan'') || 8 ''fu''|| 16 ''fu'' |- |''ankan'' (暗槓),<br />or ''an-kantsu'' (暗槓子)<br>(closed same four tiles meld, a closed ''kan'') || 16 ''fu''|| 32 ''fu'' |- |''shuntsu'' (順子)<br>(sequential meld, a run) |colspan=2| 0 ''fu'' |- |''toitsu'' (対子)<br>(two tiles meld, the pair) |colspan=2| 2 ''fu'' for seat wind tiles, prevailing wind tiles or dragon tiles. 4 ''fu'' (or 2 ''fu'' in some rules) when the seat wind and prevailing wind match. 0 ''fu'' for other tiles |- |} ====Fu of waits==== The list for the fourth step: {| class="wikitable" border="1" |- |width="30%"|'''Type''' |width="50%"|'''Description''' |width="20%"|'''''fu''''' |- |''ryanmen-machi'' (両門待ち) |the wait for either side of two simple tiles (e.g. 1 or 4 for 23; similarly, 34/45/56/67/78) made into a ''shuntsu'' |0 ''fu'' |- |''kanchan-machi'' (嵌張待ち) |the wait for the middle of two simple tiles (e.g. 2 for 13; similarly, 24/35/46/57/68/79) made into a ''shuntsu'' | rowspan="3" | 2 ''fu''<br>(waiting for one kind of tile) |- |''penchan-machi'' (辺張待ち) |the wait for the inner side of outermost two simple tiles (i.e. 3 for 12 or 7 for 89) made into a ''shuntsu'' |- |''tanki-machi'' (単騎待ち) |the wait for another single tile (e.g. 1 for single 1, East for single East) made into a ''toitsu'' |- |''shanpon-machi'' (双碰待ち) |the wait for either tile in two ''toitsu'' (e.g. 1 or 2 for 1122) made into a ''kōtsu'' || 0 ''fu''<br>(''fu'' of '''wait''' is 0 ''fu'' itself, however, ''fu'' of '''melds''' (2, 4 or 8 ''fu'') for the new ''kōtsu'' is still valid.) |- |} ===Calculating basic points=== The basic points of a hand is calculated as follows: :[ basic points = ''fu'' × 2<sup>(2+''han'')</sup> ] *When a non-dealer (''ko'', 子: child) goes out by self-draw, the dealer (''oya'', 親: parent) pays the winner 2 × basic points, and the other two non-dealers pay the winner 1 × basic points. *When a non-dealer goes out by discard, the discarding player pays the winner 4 × basic points. *When the dealer goes out by self-drawn, all the three non-dealers pay the winner 2 × basic points. *When the dealer goes out by discard, the discarding non-dealer pays the winner 6 × basic points. The actual points given are rounded up to the nearest 100. Even if the values of ''han'' and ''fu'' are the same, the points received for self-draw wins often slightly deviate from those received for discard wins because of rounding.
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