     n             scenario 1                 scenario 2                 scenario 3                 scenario 4                 scenario 5       
      5      0.0000 [0.0000,0.0000]     0.0000 [0.0000,0.0000]     0.2000 [0.0000,0.5506]     0.2000 [0.0000,0.5506]     0.6000 [0.1706,1.0000]  
     10      0.1000 [0.0000,0.3630]     0.0000 [0.0000,0.0000]     0.3000 [0.0000,0.7017]     0.2000 [0.0000,0.5506]     0.4000 [0.0000,0.8294]  
     15      0.2000 [0.0000,0.5506]     0.0667 [0.0000,0.2853]     0.2667 [0.0000,0.6543]     0.1333 [0.0000,0.4313]     0.3333 [0.0000,0.7465]  
     20      0.2500 [0.0000,0.6296]     0.0500 [0.0000,0.2410]     0.2500 [0.0000,0.6296]     0.1500 [0.0000,0.4630]     0.3000 [0.0000,0.7017]  
     25      0.2400 [0.0000,0.6144]     0.0400 [0.0000,0.2118]     0.2400 [0.0000,0.6144]     0.1600 [0.0000,0.4813]     0.3200 [0.0000,0.7289]  
     30      0.2333 [0.0000,0.6041]     0.0333 [0.0000,0.1907]     0.2333 [0.0000,0.6041]     0.1333 [0.0000,0.4313]     0.3667 [0.0000,0.7891]  
     35      0.2000 [0.0000,0.5506]     0.0286 [0.0000,0.1746]     0.2286 [0.0000,0.5966]     0.2000 [0.0000,0.5506]     0.3429 [0.0000,0.7589]  
     40      0.1750 [0.0000,0.5081]     0.0500 [0.0000,0.2410]     0.2000 [0.0000,0.5506]     0.2750 [0.0000,0.6664]     0.3000 [0.0000,0.7017]  
     45      0.1778 [0.0000,0.5129]     0.0444 [0.0000,0.2251]     0.1778 [0.0000,0.5129]     0.2889 [0.0000,0.6862]     0.3111 [0.0000,0.7169]  
     50      0.1600 [0.0000,0.4813]     0.0800 [0.0000,0.3178]     0.2000 [0.0000,0.5506]     0.2800 [0.0000,0.6736]     0.2800 [0.0000,0.6736]  
     55      0.1818 [0.0000,0.5199]     0.1091 [0.0000,0.3824]     0.2000 [0.0000,0.5506]     0.2545 [0.0000,0.6364]     0.2545 [0.0000,0.6364]  
     60      0.1667 [0.0000,0.4933]     0.1167 [0.0000,0.3981]     0.2167 [0.0000,0.5778]     0.2667 [0.0000,0.6543]     0.2333 [0.0000,0.6041]  
     65      0.1692 [0.0000,0.4979]     0.1077 [0.0000,0.3794]     0.2308 [0.0000,0.6001]     0.2462 [0.0000,0.6237]     0.2462 [0.0000,0.6237]  
     70      0.1571 [0.0000,0.4761]     0.1143 [0.0000,0.3932]     0.2429 [0.0000,0.6187]     0.2571 [0.0000,0.6402]     0.2286 [0.0000,0.5966]  
     75      0.1467 [0.0000,0.4568]     0.1200 [0.0000,0.4048]     0.2533 [0.0000,0.6346]     0.2400 [0.0000,0.6144]     0.2400 [0.0000,0.6144]  
     80      0.1375 [0.0000,0.4394]     0.1250 [0.0000,0.4149]     0.2625 [0.0000,0.6482]     0.2375 [0.0000,0.6105]     0.2375 [0.0000,0.6105]  
     85      0.1412 [0.0000,0.4464]     0.1176 [0.0000,0.4001]     0.2588 [0.0000,0.6427]     0.2471 [0.0000,0.6251]     0.2353 [0.0000,0.6071]  
     90      0.1333 [0.0000,0.4313]     0.1111 [0.0000,0.3866]     0.2667 [0.0000,0.6543]     0.2333 [0.0000,0.6041]     0.2556 [0.0000,0.6379]  
     95      0.1368 [0.0000,0.4381]     0.1158 [0.0000,0.3963]     0.2632 [0.0000,0.6491]     0.2316 [0.0000,0.6013]     0.2526 [0.0000,0.6335]  
    100      0.1300 [0.0000,0.4248]     0.1100 [0.0000,0.3843]     0.2700 [0.0000,0.6591]     0.2400 [0.0000,0.6144]     0.2500 [0.0000,0.6296]  
    105      0.1238 [0.0000,0.4125]     0.1238 [0.0000,0.4125]     0.2667 [0.0000,0.6543]     0.2476 [0.0000,0.6260]     0.2381 [0.0000,0.6114]  
    110      0.1182 [0.0000,0.4011]     0.1364 [0.0000,0.4372]     0.2636 [0.0000,0.6498]     0.2545 [0.0000,0.6364]     0.2273 [0.0000,0.5946]  
    115      0.1304 [0.0000,0.4256]     0.1391 [0.0000,0.4425]     0.2522 [0.0000,0.6328]     0.2435 [0.0000,0.6197]     0.2348 [0.0000,0.6063]  
    120      0.1417 [0.0000,0.4473]     0.1500 [0.0000,0.4630]     0.2500 [0.0000,0.6296]     0.2333 [0.0000,0.6041]     0.2250 [0.0000,0.5910]  
    125      0.1440 [0.0000,0.4517]     0.1440 [0.0000,0.4517]     0.2480 [0.0000,0.6265]     0.2320 [0.0000,0.6020]     0.2320 [0.0000,0.6020]  
    130      0.1462 [0.0000,0.4558]     0.1385 [0.0000,0.4412]     0.2538 [0.0000,0.6353]     0.2385 [0.0000,0.6120]     0.2231 [0.0000,0.5880]  
    135      0.1481 [0.0000,0.4595]     0.1333 [0.0000,0.4313]     0.2667 [0.0000,0.6543]     0.2296 [0.0000,0.5983]     0.2222 [0.0000,0.5866]  
    140      0.1643 [0.0000,0.4891]     0.1286 [0.0000,0.4220]     0.2571 [0.0000,0.6402]     0.2357 [0.0000,0.6078]     0.2143 [0.0000,0.5740]  
    145      0.1724 [0.0000,0.5035]     0.1241 [0.0000,0.4132]     0.2552 [0.0000,0.6373]     0.2345 [0.0000,0.6059]     0.2138 [0.0000,0.5732]  
    150      0.1733 [0.0000,0.5051]     0.1267 [0.0000,0.4182]     0.2533 [0.0000,0.6346]     0.2400 [0.0000,0.6144]     0.2067 [0.0000,0.5616]  
    155      0.1742 [0.0000,0.5066]     0.1355 [0.0000,0.4355]     0.2581 [0.0000,0.6416]     0.2323 [0.0000,0.6024]     0.2000 [0.0000,0.5506]  
    160      0.1688 [0.0000,0.4970]     0.1313 [0.0000,0.4272]     0.2688 [0.0000,0.6573]     0.2250 [0.0000,0.5910]     0.2063 [0.0000,0.5609]  
    165      0.1758 [0.0000,0.5094]     0.1333 [0.0000,0.4313]     0.2727 [0.0000,0.6631]     0.2182 [0.0000,0.5802]     0.2000 [0.0000,0.5506]  
    170      0.1706 [0.0000,0.5003]     0.1353 [0.0000,0.4351]     0.2706 [0.0000,0.6600]     0.2176 [0.0000,0.5793]     0.2059 [0.0000,0.5603]  
    175      0.1714 [0.0000,0.5018]     0.1429 [0.0000,0.4496]     0.2686 [0.0000,0.6571]     0.2171 [0.0000,0.5785]     0.2000 [0.0000,0.5506]  
    180      0.1722 [0.0000,0.5032]     0.1444 [0.0000,0.4526]     0.2667 [0.0000,0.6543]     0.2167 [0.0000,0.5778]     0.2000 [0.0000,0.5506]  
    185      0.1676 [0.0000,0.4949]     0.1405 [0.0000,0.4452]     0.2649 [0.0000,0.6516]     0.2216 [0.0000,0.5857]     0.2054 [0.0000,0.5595]  
    190      0.1737 [0.0000,0.5058]     0.1474 [0.0000,0.4581]     0.2632 [0.0000,0.6491]     0.2158 [0.0000,0.5764]     0.2000 [0.0000,0.5506]  
    195      0.1692 [0.0000,0.4979]     0.1487 [0.0000,0.4606]     0.2615 [0.0000,0.6468]     0.2205 [0.0000,0.5839]     0.2000 [0.0000,0.5506]  
    200      0.1750 [0.0000,0.5081]     0.1500 [0.0000,0.4630]     0.2550 [0.0000,0.6370]     0.2150 [0.0000,0.5751]     0.2050 [0.0000,0.5589]  
    205      0.1707 [0.0000,0.5006]     0.1512 [0.0000,0.4653]     0.2585 [0.0000,0.6423]     0.2098 [0.0000,0.5666]     0.2098 [0.0000,0.5666]  
    210      0.1762 [0.0000,0.5101]     0.1571 [0.0000,0.4761]     0.2524 [0.0000,0.6331]     0.2095 [0.0000,0.5662]     0.2048 [0.0000,0.5585]  
    215      0.1767 [0.0000,0.5111]     0.1628 [0.0000,0.4864]     0.2512 [0.0000,0.6313]     0.2047 [0.0000,0.5583]     0.2047 [0.0000,0.5583]  
    220      0.1727 [0.0000,0.5041]     0.1591 [0.0000,0.4797]     0.2455 [0.0000,0.6227]     0.2091 [0.0000,0.5655]     0.2136 [0.0000,0.5729]  
    225      0.1778 [0.0000,0.5129]     0.1600 [0.0000,0.4813]     0.2444 [0.0000,0.6211]     0.2044 [0.0000,0.5579]     0.2133 [0.0000,0.5724]  
    230      0.1783 [0.0000,0.5137]     0.1652 [0.0000,0.4907]     0.2435 [0.0000,0.6197]     0.2043 [0.0000,0.5578]     0.2087 [0.0000,0.5649]  
    235      0.1745 [0.0000,0.5071]     0.1660 [0.0000,0.4921]     0.2426 [0.0000,0.6183]     0.2085 [0.0000,0.5646]     0.2085 [0.0000,0.5646]  
    240      0.1750 [0.0000,0.5081]     0.1708 [0.0000,0.5007]     0.2375 [0.0000,0.6105]     0.2083 [0.0000,0.5643]     0.2083 [0.0000,0.5643]  
    245      0.1714 [0.0000,0.5018]     0.1673 [0.0000,0.4945]     0.2449 [0.0000,0.6218]     0.2122 [0.0000,0.5707]     0.2041 [0.0000,0.5574]  
    250      0.1680 [0.0000,0.4957]     0.1720 [0.0000,0.5028]     0.2440 [0.0000,0.6205]     0.2080 [0.0000,0.5638]     0.2080 [0.0000,0.5638]  
    255      0.1686 [0.0000,0.4968]     0.1686 [0.0000,0.4968]     0.2471 [0.0000,0.6251]     0.2039 [0.0000,0.5571]     0.2118 [0.0000,0.5699]  
    260      0.1654 [0.0000,0.4910]     0.1692 [0.0000,0.4979]     0.2462 [0.0000,0.6237]     0.2077 [0.0000,0.5633]     0.2115 [0.0000,0.5695]  
    265      0.1623 [0.0000,0.4854]     0.1736 [0.0000,0.5056]     0.2453 [0.0000,0.6224]     0.2113 [0.0000,0.5692]     0.2075 [0.0000,0.5630]  
    270      0.1593 [0.0000,0.4800]     0.1704 [0.0000,0.4999]     0.2407 [0.0000,0.6155]     0.2148 [0.0000,0.5748]     0.2148 [0.0000,0.5748]  
    275      0.1564 [0.0000,0.4747]     0.1709 [0.0000,0.5009]     0.2436 [0.0000,0.6199]     0.2145 [0.0000,0.5744]     0.2145 [0.0000,0.5744]  
    280      0.1536 [0.0000,0.4696]     0.1679 [0.0000,0.4955]     0.2429 [0.0000,0.6187]     0.2214 [0.0000,0.5854]     0.2143 [0.0000,0.5740]  
    285      0.1509 [0.0000,0.4646]     0.1684 [0.0000,0.4965]     0.2456 [0.0000,0.6229]     0.2211 [0.0000,0.5848]     0.2140 [0.0000,0.5735]  
    290      0.1517 [0.0000,0.4662]     0.1690 [0.0000,0.4974]     0.2448 [0.0000,0.6217]     0.2241 [0.0000,0.5897]     0.2103 [0.0000,0.5676]  
    295      0.1492 [0.0000,0.4614]     0.1695 [0.0000,0.4984]     0.2475 [0.0000,0.6257]     0.2237 [0.0000,0.5890]     0.2102 [0.0000,0.5673]  
    300      0.1533 [0.0000,0.4692]     0.1667 [0.0000,0.4933]     0.2433 [0.0000,0.6195]     0.2200 [0.0000,0.5831]     0.2167 [0.0000,0.5778]  
    305      0.1541 [0.0000,0.4706]     0.1639 [0.0000,0.4884]     0.2459 [0.0000,0.6234]     0.2230 [0.0000,0.5878]     0.2131 [0.0000,0.5721]  
    310      0.1516 [0.0000,0.4660]     0.1677 [0.0000,0.4952]     0.2419 [0.0000,0.6173]     0.2226 [0.0000,0.5872]     0.2161 [0.0000,0.5769]  
    315      0.1492 [0.0000,0.4615]     0.1683 [0.0000,0.4962]     0.2444 [0.0000,0.6211]     0.2222 [0.0000,0.5866]     0.2159 [0.0000,0.5765]  
    320      0.1469 [0.0000,0.4572]     0.1656 [0.0000,0.4915]     0.2469 [0.0000,0.6248]     0.2219 [0.0000,0.5861]     0.2188 [0.0000,0.5811]  
    325      0.1477 [0.0000,0.4587]     0.1662 [0.0000,0.4924]     0.2462 [0.0000,0.6237]     0.2185 [0.0000,0.5806]     0.2215 [0.0000,0.5855]  
    330      0.1455 [0.0000,0.4545]     0.1667 [0.0000,0.4933]     0.2424 [0.0000,0.6181]     0.2212 [0.0000,0.5850]     0.2242 [0.0000,0.5898]  
    335      0.1433 [0.0000,0.4504]     0.1672 [0.0000,0.4942]     0.2418 [0.0000,0.6171]     0.2239 [0.0000,0.5893]     0.2239 [0.0000,0.5893]  
    340      0.1441 [0.0000,0.4520]     0.1647 [0.0000,0.4898]     0.2382 [0.0000,0.6116]     0.2235 [0.0000,0.5887]     0.2294 [0.0000,0.5980]  
    345      0.1420 [0.0000,0.4480]     0.1652 [0.0000,0.4907]     0.2377 [0.0000,0.6108]     0.2261 [0.0000,0.5927]     0.2290 [0.0000,0.5973]  
    350      0.1400 [0.0000,0.4441]     0.1714 [0.0000,0.5018]     0.2371 [0.0000,0.6100]     0.2257 [0.0000,0.5922]     0.2257 [0.0000,0.5922]  
    355      0.1408 [0.0000,0.4458]     0.1746 [0.0000,0.5074]     0.2366 [0.0000,0.6092]     0.2225 [0.0000,0.5871]     0.2254 [0.0000,0.5916]  
    360      0.1417 [0.0000,0.4473]     0.1750 [0.0000,0.5081]     0.2361 [0.0000,0.6084]     0.2250 [0.0000,0.5910]     0.2222 [0.0000,0.5866]  
    365      0.1425 [0.0000,0.4488]     0.1726 [0.0000,0.5038]     0.2329 [0.0000,0.6034]     0.2219 [0.0000,0.5862]     0.2301 [0.0000,0.5991]  
    370      0.1432 [0.0000,0.4503]     0.1757 [0.0000,0.5092]     0.2351 [0.0000,0.6069]     0.2189 [0.0000,0.5814]     0.2270 [0.0000,0.5942]  
    375      0.1467 [0.0000,0.4568]     0.1733 [0.0000,0.5051]     0.2320 [0.0000,0.6020]     0.2160 [0.0000,0.5767]     0.2320 [0.0000,0.6020]  
    380      0.1447 [0.0000,0.4531]     0.1763 [0.0000,0.5104]     0.2316 [0.0000,0.6013]     0.2158 [0.0000,0.5764]     0.2316 [0.0000,0.6013]  
    385      0.1455 [0.0000,0.4545]     0.1766 [0.0000,0.5109]     0.2312 [0.0000,0.6007]     0.2156 [0.0000,0.5760]     0.2312 [0.0000,0.6007]  
    390      0.1462 [0.0000,0.4558]     0.1769 [0.0000,0.5114]     0.2308 [0.0000,0.6001]     0.2128 [0.0000,0.5716]     0.2333 [0.0000,0.6041]  
    395      0.1468 [0.0000,0.4571]     0.1747 [0.0000,0.5075]     0.2380 [0.0000,0.6112]     0.2101 [0.0000,0.5672]     0.2304 [0.0000,0.5995]  
    400      0.1450 [0.0000,0.4536]     0.1750 [0.0000,0.5081]     0.2375 [0.0000,0.6105]     0.2100 [0.0000,0.5670]     0.2325 [0.0000,0.6028]  
    405      0.1432 [0.0000,0.4502]     0.1778 [0.0000,0.5129]     0.2370 [0.0000,0.6098]     0.2123 [0.0000,0.5708]     0.2296 [0.0000,0.5983]  
    410      0.1415 [0.0000,0.4469]     0.1805 [0.0000,0.5176]     0.2341 [0.0000,0.6053]     0.2146 [0.0000,0.5745]     0.2293 [0.0000,0.5977]  
    415      0.1422 [0.0000,0.4483]     0.1807 [0.0000,0.5180]     0.2337 [0.0000,0.6047]     0.2169 [0.0000,0.5781]     0.2265 [0.0000,0.5934]  
    420      0.1452 [0.0000,0.4541]     0.1786 [0.0000,0.5143]     0.2333 [0.0000,0.6041]     0.2190 [0.0000,0.5816]     0.2238 [0.0000,0.5891]  
    425      0.1435 [0.0000,0.4509]     0.1812 [0.0000,0.5188]     0.2306 [0.0000,0.5998]     0.2212 [0.0000,0.5850]     0.2235 [0.0000,0.5887]  
    430      0.1419 [0.0000,0.4477]     0.1791 [0.0000,0.5151]     0.2302 [0.0000,0.5992]     0.2209 [0.0000,0.5846]     0.2279 [0.0000,0.5956]  
    435      0.1471 [0.0000,0.4576]     0.1793 [0.0000,0.5156]     0.2276 [0.0000,0.5951]     0.2207 [0.0000,0.5842]     0.2253 [0.0000,0.5915]  
    440      0.1500 [0.0000,0.4630]     0.1795 [0.0000,0.5160]     0.2273 [0.0000,0.5946]     0.2205 [0.0000,0.5838]     0.2227 [0.0000,0.5874]  
    445      0.1483 [0.0000,0.4598]     0.1798 [0.0000,0.5164]     0.2247 [0.0000,0.5906]     0.2247 [0.0000,0.5906]     0.2225 [0.0000,0.5870]  
    450      0.1511 [0.0000,0.4650]     0.1800 [0.0000,0.5168]     0.2244 [0.0000,0.5902]     0.2222 [0.0000,0.5866]     0.2222 [0.0000,0.5866]  
    455      0.1516 [0.0000,0.4660]     0.1780 [0.0000,0.5133]     0.2308 [0.0000,0.6001]     0.2198 [0.0000,0.5828]     0.2198 [0.0000,0.5828]  
    460      0.1500 [0.0000,0.4630]     0.1804 [0.0000,0.5175]     0.2304 [0.0000,0.5996]     0.2196 [0.0000,0.5824]     0.2196 [0.0000,0.5824]  
    465      0.1484 [0.0000,0.4600]     0.1806 [0.0000,0.5179]     0.2323 [0.0000,0.6024]     0.2172 [0.0000,0.5786]     0.2215 [0.0000,0.5855]  
    470      0.1468 [0.0000,0.4570]     0.1809 [0.0000,0.5182]     0.2340 [0.0000,0.6052]     0.2170 [0.0000,0.5783]     0.2213 [0.0000,0.5851]  
    475      0.1453 [0.0000,0.4541]     0.1811 [0.0000,0.5186]     0.2358 [0.0000,0.6079]     0.2168 [0.0000,0.5781]     0.2211 [0.0000,0.5848]  
    480      0.1458 [0.0000,0.4552]     0.1812 [0.0000,0.5189]     0.2354 [0.0000,0.6073]     0.2187 [0.0000,0.5811]     0.2187 [0.0000,0.5811]  
    485      0.1464 [0.0000,0.4562]     0.1814 [0.0000,0.5192]     0.2351 [0.0000,0.6067]     0.2186 [0.0000,0.5808]     0.2186 [0.0000,0.5808]  
    490      0.1490 [0.0000,0.4611]     0.1796 [0.0000,0.5160]     0.2367 [0.0000,0.6093]     0.2184 [0.0000,0.5805]     0.2163 [0.0000,0.5772]  
    495      0.1475 [0.0000,0.4583]     0.1798 [0.0000,0.5164]     0.2343 [0.0000,0.6056]     0.2222 [0.0000,0.5866]     0.2162 [0.0000,0.5770]  
    500      0.1460 [0.0000,0.4555]     0.1780 [0.0000,0.5133]     0.2360 [0.0000,0.6082]     0.2220 [0.0000,0.5863]     0.2180 [0.0000,0.5799]  
