須磨の300番問題

四角形ABCDにおいて、角ABD,DBC,BCA,ACDがそれぞれa,b,c,d度のとき、 角ADBは何度か。
       a   b   c   d          a   b   c   d          a   b   c   d
[  1]  10  10  20  80  [ 51]  10  30  70  30  [101]  20  10 130  30
[  2]  10  10  30  40  [ 52]  10  30  70  40  [102]  20  20  20  80
[  3]  10  10  30 110  [ 53]  10  30  80  20  [103]  20  20  30  50
[  4]  10  10  40  30  [ 54]  10  30  80  30  [104]  20  20  30 100
[  5]  10  10  40  70  [ 55]  10  30  80  50  [105]  20  20  40  40
[  6]  10  10  40 110  [ 56]  10  30 100  20  [106]  20  20  40  70
[  7]  10  10  50  50  [ 57]  10  30 100  30  [107]  20  20  40 100
[  8]  10  10  50  80  [ 58]  10  30 110  20  [108]  20  20  60  60
[  9]  10  10  60  40  [ 59]  10  30 110  30  [109]  20  20  80  50
[ 10]  10  10  60  60  [ 60]  10  30 120  20  [110]  20  20 100  30
[ 11]  10  10  60  80  [ 61]  10  40  30  40  [111]  20  20 100  40
[ 12]  10  10 100  30  [ 62]  10  40  50  20  [112]  20  20 100  50
[ 13]  10  10 100  40  [ 63]  10  40  50  30  [113]  20  20 110  30
[ 14]  10  10 100  50  [ 64]  10  40  80  20  [114]  20  20 110  40
[ 15]  10  10 110  30  [ 65]  10  40  80  30  [115]  20  20 120  30
[ 16]  10  10 110  40  [ 66]  10  40  80  40  [116]  20  30  20  60
[ 17]  10  10 120  20  [ 67]  10  40 100  20  [117]  20  30  30  40
[ 18]  10  10 120  30  [ 68]  10  50  60  20  [118]  20  30  30  80
[ 19]  10  10 120  40  [ 69]  10  50  60  40  [119]  20  30  50  30
[ 20]  10  10 130  20  [ 70]  10  50  80  20  [120]  20  30  50  60
[ 21]  10  10 130  30  [ 71]  10  60  40  20  [121]  20  30  50  80
[ 22]  10  10 140  20  [ 72]  10  60  70  30  [122]  20  30  70  40
[ 23]  10  20  20  40  [ 73]  10  60  80  20  [123]  20  30  80  30
[ 24]  10  20  30  70  [ 74]  10  70  40  30  [124]  20  30  80  40
[ 25]  10  20  40  20  [ 75]  10  70  50  20  [125]  20  30  80  60
[ 26]  10  20  40  40  [ 76]  10  70  50  30  [126]  20  30 100  30
[ 27]  10  20  40  80  [ 77]  10  70  60  20  [127]  20  30 100  40
[ 28]  10  20  50  30  [ 78]  10  70  80  20  [128]  20  30 110  30
[ 29]  10  20  50  50  [ 79]  10 100  30  20  [129]  20  40  20  50
[ 30]  10  20  50  80  [ 80]  10 100  40  20  [130]  20  40  40  30
[ 31]  10  20  70  30  [ 81]  20  10  20 120  [131]  20  40  40  70
[ 32]  10  20  70  40  [ 82]  20  10  30  80  [132]  20  40  60  40
[ 33]  10  20  80  20  [ 83]  20  10  40  60  [133]  20  40  60  50
[ 34]  10  20  80  40  [ 84]  20  10  40 100  [134]  20  40  70  40
[ 35]  10  20  80  50  [ 85]  20  10  40 120  [135]  20  40  80  30
[ 36]  10  20 100  20  [ 86]  20  10  50  50  [136]  20  40  80  50
[ 37]  10  20 100  30  [ 87]  20  10  50  80  [137]  20  40 100  30
[ 38]  10  20 100  40  [ 88]  20  10  50 100  [138]  20  50  40  60
[ 39]  10  20 110  20  [ 89]  20  10  70  40  [139]  20  50  70  30
[ 40]  10  20 110  30  [ 90]  20  10  70  70  [140]  20  50  70  40
[ 41]  10  20 110  40  [ 91]  20  10  70  80  [141]  20  60  20  40
[ 42]  10  20 120  20  [ 92]  20  10  80  50  [142]  20  60  30  50
[ 43]  10  20 130  20  [ 93]  20  10  80  60  [143]  20  60  50  30
[ 44]  10  30  20  30  [ 94]  20  10 100  40  [144]  20  60  50  50
[ 45]  10  30  30  20  [ 95]  20  10 100  50  [145]  20  60  70  30
[ 46]  10  30  30  50  [ 96]  20  10 100  60  [146]  20  60  70  40
[ 47]  10  30  40  30  [ 97]  20  10 110  30  [147]  20  60  80  30
[ 48]  10  30  40  60  [ 98]  20  10 110  40  [148]  20  80  30  40
[ 49]  10  30  60  20  [ 99]  20  10 110  50  [149]  20  80  40  30
[ 50]  10  30  60  40  [100]  20  10 120  40  [150]  20  80  40  40
       a   b   c   d          a   b   c   d          a   b   c   d
[151]  20  80  50  30  [201]  30  50  60  60  [251]  50  20  40 100
[152]  20 100  20  30  [202]  30  50  70  40  [252]  50  20  70  80
[153]  20 100  40  30  [203]  30  50  80  40  [253]  50  30  20 100
[154]  30  10  20 130  [204]  30  70  20  50  [254]  50  30  30  80
[155]  30  10  30 100  [205]  30  70  30  40  [255]  50  30  40  70
[156]  30  10  30 130  [206]  30  70  50  50  [256]  50  30  40 100
[157]  30  10  40  80  [207]  30  70  60  40  [257]  50  30  60  80
[158]  30  10  40 110  [208]  30  80  30  50  [258]  50  30  70  70
[159]  30  10  60  60  [209]  30  80  40  40  [259]  50  30  80  60
[160]  30  10  60  80  [210]  30 100  20  40  [260]  50  50  20  80
[161]  30  10  60 100  [211]  30 100  30  40  [261]  50  50  60  60
[162]  30  10  70  70  [212]  40  10  30 110  [262]  60  10  30 120
[163]  30  10  70  80  [213]  40  10  50  80  [263]  60  10  40 120
[164]  30  10  80  50  [214]  40  10  50 100  [264]  60  10  70  80
[165]  30  10  80  70  [215]  40  10  50 110  [265]  60  20  20 120
[166]  30  10 100  50  [216]  40  10  80  60  [266]  60  20  30 100
[167]  30  10 100  60  [217]  40  10  80  70  [267]  60  20  30 120
[168]  30  10 110  40  [218]  40  10 100  60  [268]  60  20  50  80
[169]  30  10 110  50  [219]  40  20  20 110  [269]  60  20  50 100
[170]  30  10 120  40  [220]  40  20  40  70  [270]  60  20  70  80
[171]  30  20  20 100  [221]  40  20  40 110  [271]  60  20  80  70
[172]  30  20  30  70  [222]  40  20  50  80  [272]  60  40  30  80
[173]  30  20  30 110  [223]  40  20  60  70  [273]  60  40  50  80
[174]  30  20  50  50  [224]  40  20  60  80  [274]  60  60  20  80
[175]  30  20  50  70  [225]  40  20  80  50  [275]  60  60  40  70
[176]  30  20  50 100  [226]  40  20  80  70  [276]  70  10  20 140
[177]  30  20  60  60  [227]  40  20 100  50  [277]  70  10  40 110
[178]  30  20  80  40  [228]  40  30  30  70  [278]  70  10  50 100
[179]  30  20  80  60  [229]  40  30  30 100  [279]  70  10  50 110
[180]  30  20  80  70  [230]  40  30  40  60  [280]  70  10  60 100
[181]  30  20 100  40  [231]  40  30  40  80  [281]  70  30  20 110
[182]  30  20 100  50  [232]  40  30  50  80  [282]  70  30  30 110
[183]  30  20 110  40  [233]  40  30  70  60  [283]  70  30  50  80
[184]  30  30  20  80  [234]  40  30  70  70  [284]  70  30  60  80
[185]  30  30  40  70  [235]  40  30  80  50  [285]  70  40  20 100
[186]  30  30  80  50  [236]  40  30  80  60  [286]  70  40  30 100
[187]  30  30 100  40  [237]  40  40  20  80  [287]  70  40  40  80
[188]  30  40  30  50  [238]  40  40  40  70  [288]  70  40  50  80
[189]  30  40  30  80  [239]  40  40  60  60  [289]  80  20  30 110
[190]  30  40  40  60  [240]  40  40  80  50  [290]  80  20  40 100
[191]  30  40  40  80  [241]  40  60  30  70  [291]  80  20  40 110
[192]  30  40  60  60  [242]  40  60  50  50  [292]  80  20  50 100
[193]  30  40  70  40  [243]  40  70  20  60  [293]  80  30  30 100
[194]  30  40  70  50  [244]  40  70  30  50  [294]  80  30  40 100
[195]  30  40  80  40  [245]  40  70  40  60  [295] 100  10  30 130
[196]  30  40  80  50  [246]  40  70  50  50  [296] 100  10  40 120
[197]  30  50  20  60  [247]  50  10  40 100  [297] 100  20  20 130
[198]  30  50  30  70  [248]  50  10  60  80  [298] 100  20  40 110
[199]  30  50  40  70  [249]  50  10  60 100  [299] 100  30  20 120
[200]  30  50  60  40  [250]  50  20  40  80  [300] 100  30  30 110
解答
[  1]  10  [ 51]  30  [101] 100  [151]  20  [201]  10  [251]  20
[  2]  20  [ 52]  20  [102]  10  [152]  10  [202]  40  [252]  30
[  3]  10  [ 53]  50  [103]  20  [153]  10  [203]  30  [253]  10
[  4]  30  [ 54]  30  [104]  10  [154]  10  [204]  10  [254]  20
[  5]  20  [ 55]  10  [105]  30  [155]  20  [205]  20  [255]  30
[  6]  10  [ 56]  50  [106]  20  [156]  10  [206]  10  [256]  10
[  7]  30  [ 57]  20  [107]  10  [157]  30  [207]  20  [257]  20
[  8]  20  [ 58]  40  [108]  30  [158]  20  [208]  10  [258]  30
[  9]  40  [ 59]  10  [109]  40  [159]  50  [209]  20  [259]  50
[ 10]  30  [ 60]  20  [110]  80  [160]  40  [210]  10  [260]  10
[ 11]  20  [ 61]  10  [111]  50  [161]  20  [211]  10  [261]  30
[ 12]  70  [ 62]  30  [112]  20  [162]  50  [212]  20  [262]  20
[ 13]  50  [ 63]  20  [113]  80  [163]  40  [213]  40  [263]  20
[ 14]  30  [ 64]  40  [114]  30  [164]  70  [214]  30  [264]  60
[ 15]  70  [ 65]  20  [115]  60  [165]  50  [215]  20  [265]  10
[ 16]  40  [ 66]  10  [116]  10  [166]  80  [216]  70  [266]  20
[ 17] 100  [ 67]  30  [117]  20  [167]  50  [217]  60  [267]  10
[ 18]  60  [ 68]  30  [118]  10  [168] 100  [218]  70  [268]  40
[ 19]  20  [ 69]  10  [119]  40  [169]  70  [219]  10  [269]  20
[ 20] 100  [ 70]  30  [120]  20  [170] 100  [220]  30  [270]  40
[ 21]  30  [ 71]  20  [121]  10  [171]  10  [221]  10  [271]  60
[ 22]  70  [ 72]  10  [122]  40  [172]  20  [222]  30  [272]  20
[ 23]  10  [ 73]  20  [123]  60  [173]  10  [223]  40  [273]  20
[ 24]  10  [ 74]  10  [124]  40  [174]  40  [224]  30  [274]  10
[ 25]  30  [ 75]  20  [125]  10  [175]  30  [225]  70  [275]  20
[ 26]  20  [ 76]  10  [126]  60  [176]  10  [226]  30  [276]  10
[ 27]  10  [ 77]  20  [127]  20  [177]  40  [227]  70  [277]  30
[ 28]  30  [ 78]  10  [128]  40  [178]  70  [228]  20  [278]  40
[ 29]  20  [ 79]  10  [129]  10  [179]  40  [229]  10  [279]  30
[ 30]  10  [ 80]  10  [130]  30  [180]  20  [230]  30  [280]  40
[ 31]  40  [ 81]  10  [131]  10  [181]  80  [231]  20  [281]  10
[ 32]  30  [ 82]  20  [132]  30  [182]  40  [232]  20  [282]  10
[ 33]  60  [ 83]  30  [133]  20  [183]  70  [233]  40  [283]  40
[ 34]  30  [ 84]  20  [134]  30  [184]  10  [234]  20  [284]  40
[ 35]  20  [ 85]  10  [135]  50  [185]  20  [235]  60  [285]  10
[ 36]  70  [ 86]  40  [136]  10  [186]  40  [236]  30  [286]  10
[ 37]  40  [ 87]  30  [137]  30  [187]  50  [237]  10  [287]  30
[ 38]  20  [ 88]  20  [138]  10  [188]  20  [238]  20  [288]  30
[ 39]  70  [ 89]  60  [139]  40  [189]  10  [239]  30  [289]  20
[ 40]  30  [ 90]  40  [140]  20  [190]  20  [240]  40  [290]  30
[ 41]  10  [ 91]  30  [141]  10  [191]  10  [241]  10  [291]  20
[ 42]  60  [ 92]  60  [142]  10  [192]  20  [242]  30  [292]  30
[ 43]  30  [ 93]  50  [143]  30  [193]  50  [243]  10  [293]  20
[ 44]  10  [ 94]  80  [144]  10  [194]  30  [244]  20  [294]  20
[ 45]  20  [ 95]  60  [145]  30  [195]  50  [245]  10  [295]  20
[ 46]  10  [ 96]  30  [146]  10  [196]  20  [246]  20  [296]  30
[ 47]  20  [ 97] 100  [147]  20  [197]  10  [247]  30  [297]  10
[ 48]  10  [ 98]  80  [148]  10  [198]  10  [248]  50  [298]  30
[ 49]  40  [ 99]  40  [149]  20  [199]  10  [249]  30  [299]  10
[ 50]  20  [100]  60  [150]  10  [200]  40  [250]  30  [300]  20