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All of the following results are expressed as the expected number of spread points by which the current dealer will beat his opponent in cribbage. Both the graphic overview to the left and the numerical table below are arranged with the start of the game at the top left corner, and the condition where both players need a single point to go out at the bottom right corner. The dealer's score is along the vertical axis, and the eldest hand's score is along the horizontal axis.
A total of 230,044,633 combinations of board positions and hands have been analyzed. The worst case board position is known to an accuracy of ± 0.0695 (95 % confidence level). It is 99.99 % certain that the graphic is accurate to 1 greyscale brightness count.
Expected Spread Points for Dealer, 2 Player Game Dealer's Score (vertical) versus Non-Dealer's Score (horizontal) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 0 2.50 1.63 .653 -.327 -1.19 -2.09 -3.03 -4.02 -4.94 -5.91 -6.81 -7.83 -8.66 -9.65 -10.5 -11.4 -12.4 -13.4 -14.3 -15.3 -16.3 -17.2 -18.1 -19.2 -20.1 -21.0 -22.0 -23.1 -24.0 -24.9 -26.0 0 -26.9 -27.9 -28.9 -29.9 -30.9 -31.8 -32.9 -33.8 -34.8 -35.7 -36.8 -37.7 -38.7 -39.6 -40.6 -41.6 -42.6 -43.5 -44.5 -45.5 -46.5 -47.6 -48.6 -49.6 -50.6 -51.6 -52.7 -53.8 -54.8 -55.8 0 -56.8 -57.8 -58.8 -59.9 -60.7 -61.8 -62.7 -63.8 -64.7 -65.7 -66.6 -67.5 -68.5 -69.4 -70.4 -71.5 -72.3 -73.3 -74.3 -75.3 -76.4 -77.4 -78.5 -79.6 -80.7 -81.8 -82.9 -84.0 -85.1 -86.1 0 -87.2 -88.3 -89.3 -90.2 -91.1 -92.1 -92.9 -93.7 -94.5 -95.2 -96.0 -96.8 -97.7 -98.5 -99.5 -100. -101. -102. -104. -105. -106. -108. -109. -110. -111. -112. -113. -115. -117. -119. 0 1 3.50 2.58 1.66 .686 -.191 -1.16 -2.13 -3.14 -4.06 -4.94 -5.91 -6.80 -7.76 -8.69 -9.62 -10.5 -11.5 -12.5 -13.4 -14.4 -15.3 -16.3 -17.2 -18.2 -19.1 -20.1 -21.0 -22.0 -22.9 -24.0 -25.0 1 -25.9 -27.0 -27.9 -28.9 -29.9 -30.9 -31.9 -32.8 -33.8 -34.7 -35.8 -36.7 -37.7 -38.6 -39.6 -40.6 -41.6 -42.5 -43.6 -44.6 -45.6 -46.6 -47.5 -48.5 -49.6 -50.7 -51.7 -52.7 -53.8 -54.8 1 -55.9 -56.8 -57.9 -58.9 -59.9 -60.8 -61.8 -62.8 -63.7 -64.7 -65.6 -66.6 -67.5 -68.4 -69.4 -70.4 -71.4 -72.3 -73.4 -74.4 -75.4 -76.4 -77.5 -78.6 -79.7 -80.8 -81.9 -82.9 -84.1 -85.2 1 -86.3 -87.2 -88.3 -89.2 -90.1 -91.0 -91.9 -92.7 -93.4 -94.2 -95.0 -95.8 -96.6 -97.5 -98.5 -99.4 -100. -101. -103. -104. -105. -106. -108. -109. -110. -111. -112. -114. -116. -118. 1 2 4.39 3.48 2.51 1.63 .688 -.220 -1.21 -2.11 -3.02 -3.97 -4.97 -5.85 -6.82 -7.72 -8.68 -9.61 -10.5 -11.5 -12.4 -13.4 -14.3 -15.2 -16.3 -17.2 -18.1 -19.1 -20.0 -21.1 -22.1 -23.0 -24.0 2 -25.0 -26.0 -27.0 -28.0 -28.9 -29.9 -30.8 -31.8 -32.8 -33.7 -34.7 -35.7 -36.6 -37.7 -38.6 -39.6 -40.5 -41.5 -42.5 -43.5 -44.6 -45.5 -46.6 -47.6 -48.6 -49.7 -50.7 -51.7 -52.8 -53.8 2 -54.9 -55.9 -56.9 -57.9 -58.8 -59.8 -60.7 -61.8 -62.7 -63.7 -64.6 -65.6 -66.5 -67.4 -68.4 -69.3 -70.3 -71.3 -72.3 -73.4 -74.3 -75.5 -76.5 -77.6 -78.7 -79.8 -80.9 -82.0 -83.1 -84.1 2 -85.2 -86.3 -87.3 -88.3 -89.1 -90.0 -90.9 -91.7 -92.6 -93.3 -94.0 -94.8 -95.7 -96.5 -97.6 -98.5 -99.6 -100. -102. -103. -104. -105. -107. -108. -109. -110. -111. -113. -115. -117. 2 3 5.39 4.48 3.58 2.57 1.63 .696 -.218 -1.12 -2.11 -3.05 -3.98 -4.94 -5.84 -6.73 -7.77 -8.62 -9.62 -10.5 -11.5 -12.4 -13.4 -14.3 -15.3 -16.2 -17.2 -18.1 -19.2 -20.1 -21.1 -22.0 -23.0 3 -24.0 -25.0 -25.9 -27.0 -27.9 -28.9 -29.9 -30.8 -31.8 -32.7 -33.7 -34.7 -35.7 -36.7 -37.6 -38.6 -39.6 -40.6 -41.6 -42.6 -43.5 -44.5 -45.6 -46.6 -47.6 -48.7 -49.7 -50.7 -51.8 -52.8 3 -53.8 -54.8 -55.8 -56.9 -57.8 -58.9 -59.8 -60.8 -61.7 -62.7 -63.6 -64.5 -65.5 -66.5 -67.4 -68.3 -69.4 -70.3 -71.3 -72.4 -73.3 -74.5 -75.5 -76.7 -77.7 -78.8 -79.9 -80.9 -82.1 -83.2 3 -84.2 -85.3 -86.3 -87.2 -88.1 -89.0 -89.9 -90.7 -91.5 -92.3 -93.0 -93.8 -94.6 -95.6 -96.5 -97.5 -98.6 -99.9 -101. -102. -103. -104. -106. -107. -108. -109. -110. -112. -114. -116. 3 4 6.32 5.39 4.44 3.58 2.60 1.64 .666 -.235 -1.22 -2.08 -3.01 -4.00 -4.89 -5.84 -6.71 -7.72 -8.61 -9.61 -10.6 -11.4 -12.4 -13.3 -14.3 -15.3 -16.2 -17.2 -18.2 -19.1 -20.1 -21.1 -22.1 4 -23.0 -24.0 -25.0 -26.0 -26.9 -27.9 -28.9 -29.8 -30.9 -31.8 -32.7 -33.7 -34.7 -35.7 -36.6 -37.6 -38.6 -39.6 -40.6 -41.6 -42.6 -43.6 -44.6 -45.7 -46.7 -47.6 -48.7 -49.7 -50.8 -51.8 4 -52.8 -53.8 -54.9 -55.9 -56.8 -57.9 -58.8 -59.8 -60.6 -61.7 -62.6 -63.5 -64.5 -65.4 -66.5 -67.3 -68.3 -69.3 -70.3 -71.3 -72.4 -73.4 -74.5 -75.6 -76.7 -77.8 -78.9 -80.0 -81.1 -82.1 4 -83.2 -84.3 -85.3 -86.2 -87.2 -88.0 -88.9 -89.7 -90.5 -91.3 -92.0 -92.8 -93.7 -94.5 -95.5 -96.5 -97.7 -98.9 -100. -101. -102. -103. -105. -106. -107. -108. -109. -111. -113. -115. 4 5 7.35 6.35 5.42 4.48 3.48 2.61 1.66 .712 -.215 -1.15 -2.10 -2.99 -4.00 -4.86 -5.91 -6.71 -7.78 -8.64 -9.57 -10.5 -11.4 -12.4 -13.3 -14.2 -15.3 -16.2 -17.2 -18.2 -19.1 -20.1 -21.1 5 -22.1 -23.1 -24.0 -25.0 -26.0 -26.9 -27.9 -28.8 -29.9 -30.8 -31.7 -32.7 -33.6 -34.6 -35.6 -36.6 -37.6 -38.6 -39.5 -40.5 -41.6 -42.6 -43.6 -44.6 -45.6 -46.7 -47.7 -48.8 -49.8 -50.9 5 -51.8 -52.8 -53.9 -54.8 -55.8 -56.8 -57.8 -58.8 -59.7 -60.7 -61.7 -62.6 -63.5 -64.5 -65.4 -66.4 -67.3 -68.3 -69.3 -70.4 -71.4 -72.4 -73.5 -74.6 -75.7 -76.8 -77.9 -79.0 -80.0 -81.2 5 -82.3 -83.3 -84.3 -85.2 -86.2 -87.0 -88.0 -88.6 -89.5 -90.2 -91.0 -91.8 -92.6 -93.5 -94.4 -95.5 -96.6 -97.9 -99.3 -100. -101. -103. -104. -105. -106. -107. -108. -110. -112. -114. 5 6 8.22 7.30 6.34 5.43 4.50 3.50 2.56 1.73 .742 -.241 -1.12 -2.07 -2.99 -3.97 -4.88 -5.82 -6.76 -7.65 -8.66 -9.64 -10.4 -11.4 -12.4 -13.3 -14.3 -15.2 -16.2 -17.3 -18.3 -19.1 -20.1 6 -21.0 -22.1 -23.1 -24.0 -25.0 -25.9 -26.9 -27.9 -28.8 -29.8 -30.7 -31.7 -32.7 -33.7 -34.7 -35.6 -36.6 -37.5 -38.5 -39.5 -40.7 -41.6 -42.5 -43.7 -44.7 -45.7 -46.7 -47.7 -48.7 -49.7 6 -50.8 -51.8 -52.9 -53.9 -54.8 -55.8 -56.8 -57.7 -58.8 -59.7 -60.6 -61.6 -62.5 -63.5 -64.4 -65.4 -66.4 -67.4 -68.3 -69.4 -70.4 -71.4 -72.5 -73.6 -74.7 -75.8 -76.9 -78.0 -79.1 -80.1 6 -81.2 -82.2 -83.3 -84.2 -85.1 -86.0 -86.9 -87.7 -88.5 -89.2 -90.0 -90.7 -91.5 -92.5 -93.5 -94.5 -95.6 -96.9 -98.3 -99.5 -100. -101. -103. -104. -105. -106. -107. -109. -111. -113. 6 7 9.24 8.20 7.37 6.36 5.41 4.51 3.56 2.58 1.69 .707 -.205 -1.13 -2.13 -3.00 -3.93 -4.80 -5.79 -6.69 -7.70 -8.64 -9.65 -10.5 -11.4 -12.3 -13.3 -14.3 -15.3 -16.2 -17.2 -18.1 -19.1 7 -20.2 -21.1 -22.1 -23.0 -24.0 -25.0 -25.9 -26.9 -27.9 -28.8 -29.7 -30.7 -31.7 -32.7 -33.6 -34.6 -35.6 -36.6 -37.5 -38.5 -39.5 -40.6 -41.6 -42.6 -43.6 -44.7 -45.7 -46.7 -47.8 -48.8 7 -49.8 -50.8 -51.8 -52.8 -53.8 -54.8 -55.8 -56.7 -57.7 -58.6 -59.7 -60.6 -61.6 -62.5 -63.4 -64.4 -65.3 -66.3 -67.4 -68.4 -69.4 -70.5 -71.5 -72.5 -73.7 -74.8 -75.9 -77.0 -78.1 -79.1 7 -80.2 -81.2 -82.2 -83.2 -84.2 -85.0 -85.9 -86.7 -87.4 -88.3 -89.0 -89.8 -90.7 -91.5 -92.5 -93.6 -94.7 -95.9 -97.2 -98.5 -99.8 -101. -101. -103. -104. -105. -106. -108. -110. -112. 7 8 10.1 9.25 8.25 7.36 6.42 5.40 4.54 3.56 2.62 1.69 .761 -.204 -1.10 -2.03 -2.96 -3.90 -4.88 -5.81 -6.74 -7.61 -8.66 -9.60 -10.4 -11.4 -12.3 -13.3 -14.3 -15.2 -16.2 -17.3 -18.1 8 -19.2 -20.1 -21.1 -22.0 -23.0 -23.9 -25.0 -25.9 -26.8 -27.8 -28.8 -29.7 -30.8 -31.7 -32.7 -33.6 -34.6 -35.6 -36.6 -37.6 -38.5 -39.6 -40.5 -41.6 -42.7 -43.7 -44.7 -45.8 -46.8 -47.8 8 -48.8 -49.8 -50.9 -51.9 -52.8 -53.9 -54.8 -55.8 -56.8 -57.7 -58.7 -59.6 -60.5 -61.5 -62.5 -63.4 -64.4 -65.3 -66.3 -67.4 -68.4 -69.5 -70.5 -71.5 -72.7 -73.7 -74.9 -76.0 -77.0 -78.2 8 -79.1 -80.3 -81.3 -82.2 -83.1 -84.1 -84.8 -85.7 -86.4 -87.2 -88.0 -88.9 -89.6 -90.5 -91.5 -92.5 -93.7 -94.9 -96.3 -97.5 -98.7 -100. -101. -102. -103. -104. -105. -107. -109. -111. 8 9 11.1 10.2 9.18 8.26 7.37 6.36 5.41 4.56 3.62 2.61 1.77 .732 -.179 -1.12 -2.05 -2.93 -3.88 -4.82 -5.78 -6.76 -7.66 -8.60 -9.60 -10.5 -11.4 -12.4 -13.4 -14.3 -15.3 -16.3 -17.2 9 -18.1 -19.1 -20.1 -21.1 -22.0 -23.0 -24.0 -25.0 -25.9 -26.8 -27.8 -28.8 -29.8 -30.7 -31.7 -32.6 -33.6 -34.5 -35.6 -36.6 -37.5 -38.6 -39.6 -40.7 -41.6 -42.7 -43.7 -44.7 -45.8 -46.8 9 -47.8 -48.8 -49.9 -50.9 -51.9 -52.8 -53.8 -54.8 -55.8 -56.7 -57.7 -58.6 -59.6 -60.4 -61.4 -62.4 -63.3 -64.3 -65.3 -66.4 -67.4 -68.4 -69.5 -70.6 -71.7 -72.8 -73.9 -75.0 -76.1 -77.2 9 -78.2 -79.3 -80.3 -81.2 -82.2 -83.1 -83.9 -84.7 -85.5 -86.3 -87.0 -87.8 -88.6 -89.5 -90.4 -91.5 -92.7 -94.0 -95.3 -96.5 -97.7 -98.9 -100. -101. -102. -103. -104. -106. -108. -110. 9 10 12.0 11.1 10.1 9.21 8.31 7.33 6.40 5.49 4.49 3.59 2.61 1.75 .776 -.133 -1.16 -1.98 -3.00 -3.86 -4.86 -5.78 -6.74 -7.65 -8.64 -9.65 -10.5 -11.4 -12.4 -13.3 -14.3 -15.2 -16.3 10 -17.2 -18.2 -19.2 -20.1 -21.1 -22.0 -22.9 -23.9 -24.9 -25.8 -26.8 -27.8 -28.8 -29.7 -30.7 -31.7 -32.6 -33.7 -34.6 -35.7 -36.6 -37.6 -38.6 -39.6 -40.6 -41.7 -42.7 -43.7 -44.8 -45.8 10 -46.8 -47.8 -48.9 -49.9 -50.8 -51.8 -52.8 -53.8 -54.8 -55.6 -56.6 -57.5 -58.6 -59.5 -60.4 -61.4 -62.3 -63.3 -64.4 -65.3 -66.4 -67.5 -68.6 -69.6 -70.6 -71.8 -72.9 -74.0 -75.1 -76.2 10 -77.2 -78.2 -79.3 -80.3 -81.2 -82.0 -82.8 -83.7 -84.5 -85.2 -86.0 -86.8 -87.7 -88.6 -89.5 -90.5 -91.7 -92.9 -94.3 -95.5 -96.7 -98.0 -99.0 -100. -101. -102. -103. -105. -107. -109. 10 11 12.9 12.0 11.0 10.1 9.30 8.25 7.32 6.41 5.45 4.58 3.61 2.62 1.67 .693 -.099 -1.04 -2.03 -2.86 -3.90 -4.80 -5.81 -6.72 -7.69 -8.61 -9.58 -10.5 -11.5 -12.4 -13.4 -14.3 -15.3 11 -16.2 -17.2 -18.2 -19.2 -20.1 -21.1 -22.0 -22.9 -23.9 -24.8 -25.8 -26.8 -27.8 -28.8 -29.7 -30.6 -31.7 -32.6 -33.5 -34.6 -35.6 -36.6 -37.7 -38.6 -39.6 -40.8 -41.7 -42.8 -43.7 -44.8 11 -45.8 -46.9 -47.9 -48.8 -49.9 -50.8 -51.8 -52.8 -53.8 -54.6 -55.6 -56.5 -57.5 -58.4 -59.4 -60.4 -61.4 -62.3 -63.3 -64.3 -65.4 -66.4 -67.4 -68.6 -69.7 -70.7 -71.9 -73.0 -74.0 -75.1 11 -76.3 -77.2 -78.3 -79.3 -80.1 -81.0 -81.9 -82.7 -83.4 -84.2 -85.0 -85.9 -86.6 -87.5 -88.5 -89.5 -90.6 -91.8 -93.3 -94.5 -95.7 -96.9 -98.0 -99.1 -100. -101. -102. -104. -106. -108. 11 12 13.9 13.0 12.1 11.1 10.2 9.23 8.27 7.33 6.38 5.45 4.53 3.59 2.63 1.81 .761 -.183 -1.08 -2.01 -2.98 -3.89 -4.86 -5.73 -6.73 -7.69 -8.60 -9.58 -10.5 -11.5 -12.4 -13.4 -14.4 12 -15.3 -16.3 -17.2 -18.2 -19.1 -20.1 -21.0 -22.0 -23.0 -23.9 -24.9 -25.8 -26.8 -27.7 -28.6 -29.6 -30.6 -31.6 -32.6 -33.5 -34.6 -35.5 -36.7 -37.6 -38.7 -39.7 -40.7 -41.7 -42.8 -43.8 12 -44.8 -45.8 -46.9 -47.8 -48.9 -49.8 -50.8 -51.8 -52.7 -53.7 -54.7 -55.6 -56.6 -57.5 -58.4 -59.4 -60.4 -61.3 -62.3 -63.4 -64.3 -65.5 -66.5 -67.6 -68.6 -69.7 -70.9 -71.9 -73.1 -74.1 12 -75.2 -76.3 -77.2 -78.3 -79.1 -80.0 -80.9 -81.7 -82.4 -83.3 -84.0 -84.8 -85.6 -86.5 -87.5 -88.6 -89.7 -90.9 -92.3 -93.5 -94.7 -96.0 -97.0 -98.1 -99.0 -100. -101. -103. -105. -107. 12 13 14.9 13.9 13.0 12.0 11.1 10.1 9.24 8.36 7.35 6.42 5.45 4.50 3.63 2.64 1.68 .856 -.128 -1.00 -2.02 -3.01 -3.88 -4.81 -5.76 -6.71 -7.68 -8.68 -9.60 -10.5 -11.5 -12.4 -13.4 13 -14.4 -15.3 -16.3 -17.2 -18.1 -19.1 -20.1 -21.0 -22.0 -22.9 -23.9 -24.9 -25.8 -26.8 -27.8 -28.6 -29.6 -30.7 -31.7 -32.6 -33.6 -34.7 -35.7 -36.6 -37.7 -38.7 -39.7 -40.7 -41.8 -42.8 13 -43.8 -44.8 -45.9 -46.9 -47.9 -48.9 -49.8 -50.8 -51.8 -52.8 -53.6 -54.6 -55.6 -56.5 -57.4 -58.4 -59.4 -60.4 -61.3 -62.4 -63.4 -64.4 -65.6 -66.5 -67.7 -68.8 -70.0 -71.0 -72.1 -73.2 13 -74.2 -75.3 -76.3 -77.2 -78.1 -79.0 -79.9 -80.6 -81.5 -82.3 -83.0 -83.9 -84.7 -85.5 -86.5 -87.5 -88.7 -89.9 -91.3 -92.5 -93.7 -95.0 -96.1 -97.1 -98.0 -99.5 -100. -102. -104. -106. 13 14 15.9 14.9 14.0 13.0 12.1 11.1 10.1 9.20 8.32 7.39 6.44 5.52 4.51 3.58 2.77 1.78 .834 -.165 -1.09 -1.94 -2.98 -3.94 -4.83 -5.80 -6.77 -7.77 -8.61 -9.59 -10.6 -11.4 -12.5 14 -13.3 -14.4 -15.2 -16.3 -17.2 -18.2 -19.1 -20.1 -21.0 -22.0 -22.9 -23.9 -24.8 -25.8 -26.8 -27.7 -28.8 -29.7 -30.7 -31.6 -32.6 -33.6 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72.8 71.8 70.7 99 69.8 68.8 67.8 66.8 65.7 64.8 63.8 62.7 61.8 60.8 59.8 58.8 57.8 56.8 55.8 54.7 53.8 52.8 51.8 50.8 49.8 48.8 47.8 46.8 45.7 44.8 43.9 42.8 41.8 40.8 99 39.8 38.8 37.8 36.8 35.8 34.8 33.7 32.8 31.8 30.8 29.8 28.8 27.8 26.8 25.8 24.8 23.8 22.8 21.8 20.9 19.8 18.8 17.9 16.9 16.0 15.0 14.1 13.2 12.2 11.3 99 10.4 9.60 8.68 7.79 7.06 6.29 5.44 4.61 3.84 3.11 2.33 1.44 .584 -.306 -1.28 -2.31 -3.39 -4.68 -5.99 -7.05 -8.27 -9.44 -10.4 -11.5 -12.3 -13.6 -15.0 -17.0 -18.7 -20.0 99 100 101. 101. 99.9 99.0 97.9 97.0 96.0 95.0 93.9 92.9 91.9 91.0 89.9 88.9 87.9 86.9 85.9 85.0 84.0 83.0 81.9 80.9 80.0 78.9 78.0 77.0 75.9 74.9 73.9 72.9 71.9 100 70.9 69.9 68.9 67.9 66.9 65.9 65.0 64.0 63.0 62.0 61.0 60.0 59.0 57.9 56.9 55.9 54.9 54.0 53.0 52.0 51.0 49.9 48.9 48.0 47.0 45.9 44.9 43.9 43.0 41.9 100 40.9 40.0 39.0 38.0 37.0 36.0 35.0 34.0 32.9 31.9 31.0 29.9 29.0 27.9 26.9 26.0 24.9 24.0 23.0 22.0 21.0 20.0 19.0 18.1 17.1 16.1 15.2 14.2 13.3 12.4 100 11.5 10.6 9.75 8.93 8.01 7.19 6.41 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61.2 60.2 59.3 58.2 57.2 56.2 55.2 54.2 53.2 52.2 51.3 50.2 49.2 48.3 47.2 46.2 45.3 44.3 102 43.2 42.2 41.2 40.2 39.2 38.1 37.2 36.2 35.2 34.3 33.3 32.2 31.2 30.2 29.2 28.3 27.2 26.3 25.3 24.3 23.3 22.2 21.3 20.3 19.3 18.4 17.4 16.4 15.5 14.5 102 13.5 12.6 11.7 10.8 10.0 9.13 8.27 7.45 6.67 5.79 4.86 4.07 3.12 2.03 1.13 .097 -.953 -2.21 -3.50 -4.69 -5.71 -6.80 -7.83 -8.73 -9.66 -10.9 -12.1 -14.1 -15.7 -17.0 102 103 105. 104. 103. 102. 101. 100. 99.4 98.3 97.3 96.3 95.2 94.3 93.3 92.3 91.2 90.4 89.3 88.3 87.3 86.2 85.3 84.3 83.3 82.2 81.3 80.2 79.3 78.3 77.3 76.3 75.3 103 74.3 73.3 72.3 71.3 70.2 69.3 68.3 67.3 66.3 65.2 64.3 63.3 62.3 61.3 60.3 59.3 58.2 57.3 56.4 55.3 54.3 53.3 52.3 51.3 50.3 49.3 48.3 47.3 46.4 45.3 103 44.3 43.3 42.3 41.3 40.3 39.3 38.3 37.3 36.3 35.3 34.3 33.3 32.3 31.3 30.3 29.3 28.3 27.3 26.3 25.3 24.3 23.3 22.3 21.4 20.4 19.4 18.4 17.5 16.5 15.5 103 14.6 13.7 12.8 11.9 11.0 10.1 9.21 8.33 7.38 6.55 5.64 4.77 3.86 2.84 1.83 .868 -.311 -1.48 -2.78 -3.84 -4.92 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48.3 47.2 105 46.2 45.2 44.2 43.2 42.1 41.2 40.2 39.2 38.3 37.3 36.2 35.3 34.2 33.2 32.2 31.3 30.2 29.3 28.2 27.2 26.3 25.2 24.3 23.3 22.3 21.3 20.4 19.4 18.4 17.4 105 16.4 15.5 14.5 13.5 12.7 11.7 10.8 9.87 8.99 8.07 7.10 6.17 5.19 4.18 3.22 2.15 1.06 -.141 -1.30 -2.35 -3.40 -4.43 -5.42 -6.31 -7.05 -8.29 -9.55 -11.2 -12.7 -14.0 105 106 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.1 98.1 97.0 96.1 95.1 94.1 93.0 92.1 91.1 90.1 89.1 88.1 87.1 86.1 85.1 84.0 83.1 82.1 81.1 80.0 79.1 78.1 106 77.1 76.1 75.1 74.1 73.1 72.1 71.1 70.1 69.1 68.1 67.1 66.1 65.1 64.1 63.1 62.1 61.1 60.1 59.1 58.1 57.1 56.0 55.1 54.1 53.1 52.0 51.1 50.1 49.1 48.0 106 47.0 46.1 45.1 44.1 43.1 42.1 41.2 40.1 39.0 38.1 37.1 36.0 35.0 34.1 33.1 32.1 31.1 30.1 29.0 28.0 27.1 26.0 25.1 24.2 23.1 22.1 21.1 20.1 19.1 18.2 106 17.2 16.2 15.3 14.3 13.4 12.4 11.5 10.6 9.59 8.67 7.73 6.79 5.84 4.80 3.73 2.73 1.66 .498 -.720 -1.74 -2.75 -3.74 -4.73 -5.49 -6.31 -7.35 -8.66 -10.3 -11.8 -13.1 106 107 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.8 98.8 97.8 96.8 95.8 94.8 93.8 92.9 91.8 90.9 89.8 88.8 87.8 86.8 85.8 84.8 83.8 82.8 81.8 80.8 79.9 78.8 107 77.8 76.8 75.8 74.8 73.8 72.8 71.8 70.9 69.8 68.8 67.9 66.8 65.8 64.8 63.8 62.9 61.9 60.7 59.8 58.9 57.8 56.8 55.8 54.9 53.8 52.8 51.9 50.8 49.9 48.9 107 47.8 46.9 45.8 44.9 43.9 42.8 41.8 40.8 39.8 38.9 37.9 36.9 35.8 34.8 33.9 32.8 31.9 30.9 29.8 28.9 27.8 26.8 25.9 24.8 23.8 22.9 21.9 20.8 19.9 18.8 107 17.9 16.9 16.0 15.0 14.0 13.1 12.1 11.1 10.2 9.21 8.33 7.41 6.28 5.26 4.32 3.23 2.26 1.05 -.119 -1.15 -2.13 -3.12 -4.04 -4.85 -5.55 -6.52 -7.79 -9.44 -10.9 -12.1 107 108 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.4 98.4 97.5 96.4 95.5 94.5 93.5 92.4 91.5 90.5 89.5 88.5 87.5 86.5 85.5 84.5 83.4 82.4 81.5 80.4 79.5 108 78.4 77.4 76.5 75.4 74.4 73.4 72.5 71.4 70.5 69.5 68.5 67.4 66.5 65.5 64.4 63.4 62.5 61.5 60.4 59.4 58.4 57.4 56.5 55.4 54.5 53.5 52.5 51.4 50.5 49.4 108 48.4 47.5 46.4 45.5 44.4 43.5 42.5 41.4 40.5 39.5 38.4 37.4 36.4 35.4 34.4 33.4 32.5 31.4 30.5 29.5 28.4 27.5 26.4 25.5 24.5 23.5 22.5 21.5 20.5 19.5 108 18.5 17.6 16.6 15.5 14.6 13.6 12.7 11.7 10.7 9.86 8.83 7.88 6.88 5.73 4.67 3.73 2.72 1.54 .330 -.565 -1.65 -2.49 -3.38 -4.21 -4.82 -5.87 -7.03 -8.54 -9.97 -11.1 108 109 110. 108. 108. 107. 106. 104. 104. 103. 102. 100. 100. 99.0 98.0 96.9 95.9 95.0 93.9 93.0 91.9 91.0 90.0 89.0 88.0 86.9 86.0 85.0 84.0 83.0 82.0 80.9 80.0 109 79.0 78.0 77.1 76.0 75.0 74.0 73.0 72.0 71.0 70.0 69.0 68.0 66.9 66.0 65.0 64.0 62.9 62.0 61.0 60.0 58.9 58.0 57.0 55.9 55.0 54.0 52.9 52.0 51.1 50.0 109 49.0 47.9 46.9 45.9 45.0 44.0 43.0 42.0 40.9 40.0 39.0 37.9 36.9 36.0 35.0 34.0 33.0 32.0 31.0 30.0 28.9 28.0 27.0 26.1 25.0 24.0 22.9 22.0 21.0 20.0 109 19.0 18.0 17.1 16.1 15.1 14.1 13.1 12.1 11.2 10.2 9.22 8.30 7.24 6.13 5.10 4.09 3.10 1.93 .826 -.157 -1.11 -1.98 -2.81 -3.52 -4.19 -5.10 -6.20 -7.64 -9.05 -10.1 109 110 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.4 98.4 97.5 96.5 95.4 94.4 93.4 92.4 91.4 90.4 89.4 88.4 87.4 86.4 85.4 84.4 83.4 82.4 81.4 80.5 110 79.4 78.4 77.4 76.4 75.4 74.4 73.4 72.4 71.4 70.4 69.4 68.4 67.3 66.4 65.5 64.4 63.4 62.4 61.5 60.4 59.4 58.5 57.4 56.4 55.4 54.4 53.5 52.4 51.4 50.4 110 49.4 48.4 47.4 46.4 45.4 44.4 43.5 42.5 41.4 40.4 39.4 38.4 37.5 36.4 35.4 34.4 33.3 32.4 31.4 30.4 29.4 28.5 27.4 26.4 25.5 24.4 23.4 22.4 21.5 20.5 110 19.5 18.4 17.4 16.5 15.5 14.5 13.5 12.5 11.5 10.5 9.55 8.66 7.54 6.50 5.46 4.56 3.42 2.31 1.20 .215 -.585 -1.56 -2.21 -2.95 -3.64 -4.48 -5.46 -6.91 -8.11 -9.20 110 111 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.9 98.7 97.8 96.8 95.8 94.7 93.8 92.8 91.8 90.8 89.7 88.9 87.8 86.8 85.8 84.8 83.7 82.9 81.8 80.8 111 79.9 78.7 77.7 76.8 75.8 74.8 73.8 72.8 71.7 70.7 69.8 68.8 67.8 66.8 65.7 64.8 63.7 62.9 61.8 60.8 59.8 58.8 57.7 56.8 55.8 54.8 53.8 52.8 51.9 50.8 111 49.8 48.8 47.7 46.9 45.8 44.8 43.8 42.8 41.8 40.8 39.8 38.8 37.8 36.8 35.8 34.8 33.8 32.8 31.8 30.8 29.7 28.8 27.8 26.8 25.8 24.8 23.7 22.7 21.9 20.8 111 19.7 18.8 17.8 16.7 15.8 14.8 13.9 12.8 11.9 10.8 9.93 8.91 7.98 6.81 5.82 4.80 3.72 2.65 1.71 .700 -.190 -1.03 -1.73 -2.45 -3.04 -3.93 -4.87 -6.04 -7.17 -8.21 111 112 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.1 98.2 97.1 96.1 95.1 94.1 93.1 92.0 91.1 90.2 89.1 88.2 87.2 86.1 85.1 84.1 83.2 82.1 81.1 112 80.1 79.1 78.1 77.1 76.1 75.1 74.1 73.1 72.1 71.1 70.2 69.1 68.1 67.1 66.1 65.1 64.2 63.1 62.1 61.1 60.1 59.2 58.1 57.1 56.1 55.2 54.2 53.1 52.1 51.1 112 50.2 49.2 48.2 47.1 46.1 45.1 44.1 43.1 42.1 41.2 40.1 39.2 38.1 37.1 36.2 35.1 34.1 33.1 32.2 31.1 30.1 29.1 28.1 27.2 26.1 25.1 24.1 23.2 22.1 21.1 112 20.1 19.1 18.2 17.0 16.2 15.2 14.2 13.2 12.1 11.2 10.1 9.22 8.13 7.10 6.12 5.07 4.07 2.99 1.97 1.04 .218 -.615 -1.31 -2.05 -2.51 -3.24 -4.07 -5.22 -6.27 -7.28 112 113 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.5 98.5 97.4 96.5 95.5 94.5 93.5 92.5 91.5 90.5 89.5 88.5 87.6 86.5 85.5 84.5 83.5 82.5 81.5 113 80.5 79.4 78.5 77.4 76.5 75.5 74.5 73.5 72.4 71.5 70.5 69.5 68.5 67.5 66.5 65.5 64.5 63.5 62.5 61.5 60.5 59.5 58.5 57.6 56.5 55.5 54.5 53.5 52.5 51.5 113 50.5 49.5 48.5 47.5 46.5 45.5 44.5 43.5 42.4 41.5 40.5 39.4 38.5 37.5 36.5 35.5 34.5 33.5 32.5 31.5 30.5 29.5 28.5 27.5 26.5 25.5 24.5 23.5 22.5 21.5 113 20.5 19.5 18.5 17.5 16.6 15.6 14.5 13.5 12.5 11.5 10.4 9.50 8.47 7.45 6.44 5.45 4.46 3.45 2.36 1.50 .649 -.123 -.824 -1.49 -2.07 -2.83 -3.42 -4.44 -5.35 -6.27 113 114 112. 110. 110. 109. 108. 106. 106. 105. 104. 103. 102. 101. 100. 99.0 97.9 97.0 96.0 95.0 94.0 93.0 92.0 90.9 90.0 89.0 88.0 87.0 86.0 85.0 84.0 83.0 82.0 114 81.0 80.0 79.0 78.0 77.0 76.0 75.0 74.0 73.0 72.0 71.0 69.9 68.9 68.0 67.0 66.0 65.0 63.9 63.0 62.0 61.0 60.0 58.9 58.0 57.0 55.9 55.0 54.0 53.0 52.0 114 51.0 50.0 49.0 48.0 47.0 46.0 45.0 43.9 43.0 41.9 40.9 39.9 38.9 38.0 37.0 36.0 35.0 34.0 33.0 32.0 31.1 30.0 29.0 28.0 27.0 26.0 25.0 24.0 23.0 22.0 114 21.0 20.0 19.0 18.0 17.0 16.0 15.0 14.0 13.0 12.0 11.0 10.0 9.05 7.99 6.95 5.93 4.96 3.95 2.91 1.94 1.23 .294 -.294 -.979 -1.54 -2.17 -2.81 -3.72 -4.49 -5.35 114 115 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.7 98.7 97.7 96.7 95.6 94.7 93.7 92.8 91.7 90.6 89.7 88.7 87.6 86.7 85.7 84.7 83.6 82.7 115 81.6 80.7 79.6 78.6 77.7 76.7 75.6 74.7 73.7 72.6 71.7 70.7 69.7 68.7 67.7 66.7 65.7 64.7 63.7 62.7 61.6 60.7 59.6 58.7 57.7 56.7 55.6 54.6 53.7 52.7 115 51.7 50.7 49.7 48.7 47.7 46.7 45.7 44.7 43.7 42.6 41.7 40.7 39.7 38.7 37.7 36.6 35.7 34.7 33.7 32.6 31.7 30.6 29.7 28.8 27.8 26.7 25.7 24.7 23.7 22.6 115 21.7 20.7 19.7 18.7 17.7 16.7 15.7 14.7 13.7 12.7 11.7 10.7 9.72 8.70 7.69 6.64 5.67 4.65 3.66 2.77 1.84 1.09 .351 -.346 -.914 -1.53 -2.10 -2.83 -3.57 -4.29 115 116 113. 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.8 98.9 97.7 96.8 95.8 94.8 93.6 92.7 91.7 90.7 89.8 88.7 87.7 86.8 85.8 84.7 83.7 116 82.7 81.7 80.8 79.7 78.7 77.7 76.8 75.7 74.7 73.7 72.7 71.8 70.8 69.7 68.7 67.7 66.7 65.8 64.7 63.7 62.7 61.7 60.7 59.7 58.7 57.7 56.7 55.7 54.7 53.7 116 52.7 51.8 50.7 49.8 48.8 47.7 46.7 45.8 44.7 43.7 42.7 41.7 40.7 39.8 38.7 37.6 36.7 35.8 34.7 33.7 32.7 31.8 30.7 29.8 28.8 27.7 26.8 25.7 24.7 23.8 116 22.7 21.8 20.7 19.7 18.8 17.7 16.8 15.8 14.7 13.7 12.7 11.7 10.8 9.74 8.66 7.71 6.75 5.67 4.70 3.76 2.89 2.11 1.17 .592 -.070 -.652 -1.26 -1.95 -2.61 -3.34 116 117 115. 114. 113. 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.1 98.1 97.1 96.1 95.0 94.0 93.0 92.1 91.1 90.1 89.0 88.1 87.0 86.1 85.1 117 84.1 83.1 82.0 81.0 80.0 79.1 78.1 77.1 76.1 75.1 74.0 73.0 72.0 71.1 70.0 69.0 68.1 67.0 66.0 65.0 64.0 63.0 62.0 61.0 60.1 59.0 58.1 57.0 56.1 55.1 117 54.1 53.1 52.0 51.0 50.1 49.1 48.1 47.0 46.1 45.0 44.0 43.1 42.1 41.0 40.1 39.1 38.0 37.0 36.1 35.0 34.0 33.1 32.0 31.0 30.1 29.0 28.1 27.1 26.1 25.1 117 24.0 23.1 22.0 21.1 20.0 19.1 18.0 17.0 16.1 15.1 14.0 13.0 12.1 11.1 10.1 9.10 8.09 7.03 6.14 5.15 4.23 3.29 2.49 1.69 1.06 .393 -.206 -.951 -1.61 -2.40 117 118 116. 115. 114. 113. 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.8 98.7 97.8 96.8 95.8 94.8 93.7 92.7 91.8 90.8 89.8 88.7 87.7 86.8 118 85.8 84.8 83.8 82.7 81.8 80.7 79.8 78.8 77.8 76.8 75.8 74.7 73.7 72.8 71.7 70.8 69.8 68.8 67.8 66.8 65.7 64.7 63.7 62.7 61.7 60.8 59.8 58.7 57.8 56.7 118 55.7 54.8 53.8 52.7 51.8 50.8 49.7 48.7 47.8 46.7 45.7 44.8 43.7 42.8 41.7 40.7 39.7 38.8 37.8 36.7 35.8 34.7 33.8 32.8 31.8 30.8 29.8 28.7 27.7 26.8 118 25.7 24.8 23.7 22.7 21.8 20.7 19.8 18.8 17.7 16.8 15.8 14.8 13.7 12.8 11.7 10.7 9.80 8.82 7.82 6.90 5.88 4.88 4.00 3.18 2.40 1.61 .884 .090 -.653 -1.48 118 119 118. 117. 116. 115. 114. 113. 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.1 98.1 97.1 96.1 95.1 94.2 93.1 92.1 91.0 90.1 89.0 88.1 119 87.1 86.1 85.1 84.2 83.1 82.1 81.2 80.1 79.1 78.1 77.1 76.1 75.1 74.1 73.1 72.1 71.1 70.1 69.1 68.1 67.1 66.1 65.1 64.1 63.1 62.1 61.2 60.1 59.1 58.1 119 57.1 56.2 55.2 54.1 53.1 52.1 51.1 50.1 49.1 48.1 47.1 46.1 45.1 44.2 43.1 42.0 41.2 40.1 39.1 38.1 37.2 36.1 35.1 34.1 33.1 32.1 31.1 30.1 29.1 28.1 119 27.0 26.1 25.1 24.1 23.1 22.1 21.2 20.1 19.1 18.1 17.1 16.1 15.1 14.1 13.1 12.2 11.1 10.2 9.19 8.24 7.27 6.30 5.40 4.53 3.68 2.86 2.05 1.16 .327 -.587 119 120 119. 118. 117. 116. 115. 114. 113. 112. 111. 110. 109. 108. 107. 106. 105. 104. 103. 102. 101. 100. 99.9 98.9 97.9 96.9 95.9 94.9 93.9 92.9 91.9 90.9 89.9 120 88.9 87.9 86.9 85.9 84.9 83.9 82.9 81.9 80.9 79.9 78.9 77.9 76.9 75.9 74.9 73.9 72.9 71.9 70.9 69.9 68.9 67.9 66.9 65.9 64.9 63.9 62.9 61.9 60.9 59.9 120 58.9 57.9 56.9 55.9 54.9 53.9 52.9 51.9 50.9 49.9 48.9 47.9 46.9 45.9 44.9 43.9 42.9 41.9 40.9 39.9 38.9 37.9 36.9 35.9 34.9 33.9 32.9 31.9 30.9 29.9 120 28.9 27.9 26.9 25.9 24.9 23.9 22.9 21.9 20.9 19.9 18.9 17.9 16.9 15.9 14.9 13.9 12.9 11.9 10.9 9.94 8.96 7.99 6.93 5.97 4.98 3.96 2.97 1.93 .986 .084 120 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
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