再訪廣島
【德】麥考·帕默 著
郎倫友 譯
第六章 第三節
6.3 硫的放射性檢測
雖然由中子輻射產生的放射性同位素大多數是通過慢中子俘獲形成的,但硫(硫32)卻是個例外。這個反應過程不僅包括中子俘獲,而且還有質子的噴射,所以核子的總數保持不變。正如人們所預料的,這隻適用於能量非常豐富的中子;所需要的動能至少大約是2.5兆電子伏。這樣的快中子在炸彈釋放的中子能量光譜上提供了最直接的信息資料。它們還在光譜的其他部分中給出一個很好的預期流量標識,這對中子輻射的生物效應有很大作用,對這些快中子輻射也是如此。硫樣品中的磷32放射性檢測對於理解核爆炸的物理的和生物的效應都特別有用。然而,與鈷60和銪152這樣的同位素不同,它們的半衰期長達若幹年,因此可以在轟炸後的數十年裏都能檢測到;而磷32的半衰期隻有14.3天,因此隻是在轟炸後最初的幾個月裏能檢測到。所以,為了將硫的放射性檢測值與其他檢測值區分開,需要做的一件事就是盡早進行這些檢測,而且完全由日本的研究團隊進行了。
在廣島,適用的樣品是在輸電線路上的絕緣子中發現的,絕緣子中有數以克計的硫磺(腳注7)。兩個日本團隊對這樣的絕緣子進行了檢測,但由京都大學團隊收集的數據被“遺失”了,當時清水阪江的實驗室記錄本被沒收後就找不到了。(見1.5.5一節)因此那些適用的檢測數據都是由另一個研究團隊取得的,那個團隊是日本理化學研究所的,成員中有研究員杉本和山崎。
6.3.1 走樣的原始數據
最早涉及硫的放射性檢測的是日本理化學研究所,是在曼哈頓地區工程師們1946年的一份報告【78,第216頁】中發現的。這份資料給出了全部九個樣品的位置、距離和每分鍾衰減的讀數。普遍認為這些檢測結果是用一個驗電器獲得的,是隨著時間對放射性進行的不斷檢測,這就需要用一個已知的放射源進行標定。然而這份報告明確說明“沒有找到關於這些數字的補充資料”,因此無法肯定是否使用的是驗電器;如果確實用了,是如何進行標定的,每次進行檢測相隔多長時間。另外,這份最初的報告對檢測沒有任何誤差的估計。
同一個檢測在官方的一份DS86的報告中由山崎和杉本在簡短的附錄中再次進行了介紹。【91,第246頁】樣品的數量由九個增加到十個,數據用每分鍾衰減表示,而且也沒有誤差估計。所有的樣品相對於爆炸中心都偏移了,明顯地理順了劑量-距離的關係。值得注意的是,山崎和杉本聲明,“根據這些數據,發現阻擋中子的大氣厚度的半值是380米”,這與548米的鬆弛長度是匹配的。
雖然DS86的報告沒有對事實進行說明,這個附錄還是對1953年發表的一份日文報告【98】的直譯,不清楚它的作者們自己是否真的準備或同意將其列入那份DS86 的報告中。這個懷疑來源於同一報告的另一個附錄,作者濱田【91,第272頁】聲稱他已經計算出杉本和山崎檢測值的估計誤差,然而他又聲明,“杉本和山崎在硫的檢測中使用的勞裏森驗電器的型號還沒有最後確定。”這表明無法聯係那些作者進行評價,反過來也表明他們自己對DS86報告的貢獻不是最近的。(腳注7)出乎意料的是,濱田的附錄列出的是驗電器實際檢測的次數和讀數,而不是每分鍾的計數。檢測的總數現在已經增加到了十一個。(腳注8)
表6.2 京都大學硫放射性檢測值的奇妙變化。
源自參考文獻【37】的表Ⅲ,參考文獻【91】第267頁的表1和參考文獻【87】第648頁的表5。
“區間”是與爆炸中心的距離;“Det. Eff.”即檢測效率,儀器捕捉到的所有衰變的百分比;比放射性,是指在爆炸時一克硫的每分鍾衰減數。黑體字是為了突出顯示僅有的未被更改的數字。
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初始報告【參考文獻37】 後來的報告【參考文獻87,91】
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樣品標號 區間(米) 放射性 區間(米) 計數/分鍾 檢測效率 比放射性
407 250 35 550 35 4.54% 840
411 350 23 780 33 3.27% 741
518 800 13 980 23 2.80% 518
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同一組數據被楊和克爾【87】重新提起,他們把樣品的數量設法增加到14個;這些樣品中有兩個樣品分別產生了兩個單獨的檢測值,這樣共有16個檢測值。樣品相對於爆炸中心再次被移動。另外,作者們還用京都大學清水阪江報告的三個檢測值對日本理化學研究所的數據進行了補充。盡管清水阪江的筆記本顯然已經無可挽回地丟失了,但不知道怎麽回事又從遺忘中被恢複了。值得注意的是,這些檢測值也被做過一些大的整形手術。(見表6.2)請注意,在最初報告的六個數字中,隻有一個在沒有更改的情況下進入了後來的報告中;但就是這一個數字也是值得懷疑的,因為在初始報告中,這個數字表示的是“相對β-放射性”,然而後來的報告把同一個數字作為每分鍾的計數。檢測效率的值——衰變的計數與假定發生的衰減數的比率——是用蒙特卡羅模擬獲得的;根據他掌握的資料,讀者們無法確定每個樣品檢測效率的任何根據。一個並不肯定的15%或更少的初始放射性居然是“估計的”。
考慮到所有這些改動和“修正”,哪個版本的數據應該被認為是“真實”的問題當然就沒有什麽實際意義了。下麵我們將利用DS02報告【87】給出的版本,不是因為我們認為它是可信的,而隻是因為它是最近的一份。
6.3.2 檢測與DS02計算
楊和克爾早在他們的報告中聲稱,已經完成了“幾乎不可能”的工作,(參見6.1.2一節的引文)並根據基本原理【87,第16頁】計算出了廣島炸彈產生的輻射的劑量:
關於原子彈的幸存者的輻射劑量是一係列複雜的------計算-----的最終結果。這個劑量重現過程的第一步是對炸彈“來源時段”的計算。這些計算是在洛斯阿拉莫斯國家實驗室(LANL )完成的,進行了原子彈爆炸模擬。------還需要對輻射的傳輸進行補充計算,以便求出從爆炸中心通過空氣到達地麵所形成的初始分布。
我們不想以此來判斷這些計算的合理性,我們關注的是它們與實驗的比較。為此我們首先注意到楊和克爾計算的中子劑量-距離曲線幾乎可以用下麵的實驗公式進行完美的複製:
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在這個等式中,s是斜線距離,即以米為單位的樣品到爆炸中心的距離;A是這個樣品的預期放射性;e是歐拉數(2.7183);H是爆炸離地麵的高度;L是一個長度常數;當這個點的s-H=0時,α是爆炸中心的預期放射性。對於距爆炸中心一定地麵距離的g處樣品來講,相應的斜線距離s是根據畢達哥拉斯定理計算出的:
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根據楊和克爾的報告【87】,爆炸中心的高在地麵上方600米處,(腳注9)當我們把這個值代入H,同時把2350dpm代入α,把160米代入L,確實獲得了方程式6.1與DS02計算的相當好的擬合。其實,我們隻要讓數值擬合計算程序(腳注10)為所有三個參數選取最佳值,那樣擬合結果會更好。這個運算過程的結果如圖6.5所示:
圖6.5 廣島由快中子俘獲形成的磷32的檢測和計算
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CMjGcivQf8Agkl+0x8N/CX7Jn7Pmi3nj9vBt9qGp3NnrFlfagbKXVbcecyXIG7JXzAiB/bFb/8AwX4/YG8ceKPhF8KtO8E69da3oNp4gi03TdHYQ+Ybo8Wyq5UZjRVZcs2SCOvWukvP2B/gD8YvHn7Pdj4s8LSaT4y8H350jUdPurvyWECwzT87W2lfOIYEd+KfLdaFfDqfrH4dvFubVisiyKuFVlk3gr25rQ8z615hYfByHwNY3EvhG/vNKeaR742gfzIdQlYDG8vkqOBwpFUpvjfqHhPTrg6/Np1nNpDJJqL7W8uKJgWYL/eYdsZrGVMn2jPYaM15t8Nf2hdH+LEUlxos7XVn9oNqrhfvvt3ZU9CuP1rptK8a2Oqy+Xa3Qkbe0W1wVw68kD6VJvc6PNRA4qEzssaP3kIDEdBT1uwWLFiq9Dx3oC5J3H1qTNcr8UPiXpPwn8IXfiLWbya10vTV3TyRxNIQO52qCTj2rmf2eP2rfBf7Uen3l/4H1abWLTTz5Vwz2klvtbJA4dVz0PSgZ6hRQOlFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjX7ef/JsviH/ft/8A0cley143+3mc/syeIP8Aft//AEclAHpPw3/5ELR/+vOL/wBBFbdYnw3/AORC0f8A684v/QRW3QAUUUUAFFFFAFXUZJIzH5frgg9CK+Wf+CjPjC+8HeFLOO11G60q+W0ubvS4obt7WK5vVK+UGkXlmOTiIgq3OelfWBGaq6ho1pqYX7VbW9x5Z3L5sYfafUZHFAH542f7Zn/CnvHfi7xx4k1nWNS0PwlY2w13THkP9oXE8nlIogtSdgiy6/vAQc5GK+iP2WP2+tA/af8AG3iLQbHw74u8J6totrb3T2+t2awNOkxYK8fzHcPlPWqP/BTD9mbWv2p/2TPFXhHwdHpEWteIpLRIpJo/LJEdxG8gLAZxsVse9a3wE/YV8Bfs/wBvq0nhmzutP1vXoobW9vI7p55AYuU2+YSBsZmOO+e9AHY6t+0/4T0Tx9ZeFV1aG41Oa3nu53idWitkiZQ/mnPy8sPpg1LYftI+CZDpM0PiXSdUg16/fTbJ7e4VladY2kaMepCqx+gr48uv2MPictxqi6T4f0k3Ol6L4l09L+WdsatNf3aTRMOchsId+QAGPy8VF8Kf2QPiV4T8RQa1q2iTMi+MX8QgX8kXnwRHSDZAbYjt3eb6cbTk80AfcnhD4u6D40jvl0LUtM1iXTpPLmjspxIYh6NjoeuBXiP7RH/BSbw38Amw/hrxt4g3apDo8Y0axW5Ek8oY8ZYZ2FSreh4rkf2CfgJ8Q/hR8YtS1PxhY3MNnqXh/T9MYO8WEuLd5Wdown/LM71ALfMe9cX8SP2M779o2HRfA+rW8ckXgPx7N4m1YtNJCZLaeeSWPy2QgsQjcjsaAPY/hf8A8FLvB/xRs9Nm/sXxXos19rcvh86fqFksNzZ3UVq12TINxwpjU49yKn13/gpL4J0Hwzpmqado/ijxBBqmhXPiW5GmW6zf2TbxxNIv2nDYjaTayoO7DFeSeHP+Ccut/DrXIbPQVsLTwloPja61rTfPneS4e0m0mS2yxOSW8+Q9f4RXGeFP+CanxE/Zh/Zkuvh74Bj0GbR/HnhC8sPFsN3cSyMmrPA6xzW7n5gskjKGBO0BeAOaAPYvh/8A8FcvCfjH4da14q1DwX8RPDmjaPpH9rpc6rpqwx3aEBhFEd53yEHgexrvPEn/AAUX+HeieKbfR5r6S8+0aDD4kWaFlKrbSTLAOc/eEjAH8a+a/wBmz/gnVqfw0+CVv4dTwbD4d1xtFtbW6v5b+S6hvbuKIIy7Wdwqk7iMKOK5n4sfsK65+zT8TvFWvaXpdjffDaPwpbaJpVpC7y3lncvexyyRDd1j3F3ySSM/hQB+jniPxXp/gzwZfeILy6/0HT7d752L7QkaruPtwKx7f9obwla/DpfE95rWnafoJsRqL3k9yixRxMu/JOegFZd/8K7X4m/s7XXgjV7qeSPWtGfSbww/KwEkW1gpI7A9a8Huv+CLPwVvvhle+FLrw7qTQ32lppL3g1WczNGI9hfaX2ZHsKBnvvw4/aO8FfGHwrD4h8J+JtH8V6bM5ijvdPvEkgcg8gkHGRW78Hvi3ofxa/tyTQ7r7VHouoyaZdt5m4LPHjcoweAMivlX9nX/AIIU/AP9nf4M2/hHSNF1TU4be6a5kurzVLiOSdz/ABERuo4HGAO1e/fse/sq6P8Asn+FNf0nQpLqTTdb1ebV41mff5HmADywTyQNvfJ96BHsFFN2U6gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAM/xKsj6c3ko0ki/MIw20vjtn3r8if2oLb4o/HP9rD4hQeE/hf8RNB1zS7SSPXJ/Dnji30+O8g2jyGkzGfmMYJUE8AkV+vWs3X2aDp97gE9M9h+NfEv7TfgK4n+JF1q3iD4Z+Jp77Vy1u114N166j+2RDCp9qEewbtuMZzjnFADv+CKfwp03wx+yH4d8QeH9d8UXPh7VFuUj0vV9TW++wSid1kIkVVUnerdB3NfT3x6+Dy/HT4Rax4XW++x/wBpRiA3Ozey8859c+lcf+x18NNS+GvwmtfDMHhXSPA3hvT1YWFha3bXTLufeWbcoO4kknrzXtGmRogkjVdvzZJz1PrQB8s/Ez/gnxrl1Hp48GeJ9L8N3D+HG8NatNPprTm/QrGqyLtddrKqEDOfvV9FfDL4YWPwn8AaX4f06NFtdNiCLtTCs38Rx7nJ/GunOFZfyp46UAUXsike5/LZ8jkr27ivlP8AZI0uGD9u343yR3TyNePZ7o2v0uFjCoRjYvMf0NfWGpfLHu+6yjhuy+5FfOfwA0RdK/bN+J0q6bpNn9ritWeS0IMl78n33wBgj+tAH0sBgUUDpRQAU3Y396nUUAIqle+aUjNFFAEeWLL/ALPt1r8/f+C8f/BPW/8A23fAnw/vrPx1rHg9vC/iC2hK2JYfaftNxFGGOCOUxkH1r9A8/vPxrxb9uZivwl03Dbf+Ko0bn/t9joA8o+NX7Mvj4/Dz4R+GfD8MfiCP4c6jY317qGpTK8t/9kXYMZI2ySZJ3HODXtPj79kXwH8XNbj8QeJvBvh/UvEC2/kx38tqrXdvnn5ZPYk16da4bd/D8zAgj73NWUGW57dqcalmJ6nz/qfh3x9+zD4dtV0ITfEDQ4tiyWuoT7b6LnGRKThsDooXPHvXPftA/Gfw38a/gN4l0OzutG03xU1hJvtNbURSaRMYyBMUcqWVSeMYyCOa+l9Wiju4PLkUMrfNg/e454968s+L/wCyt4K+MTXM2raJbx6hMgC3wG2eU7cBXI5dR/dJxxWsZXFynyz/AMEGdL1/wn+wJoOm6treneLpLXWr1Tc2vE2mRb3bD/MxZi3QDB2sK+0dPuNH8Q+TcLGn2x03pHJCY7hd3G4KeVz7+lfOvwp/tz9gnwrB4f17RrHXPD9xdMZfEGg6elrMsrEkG4towERVQBd+4k4HrXv7HTPiXosereG9YtFvLmFRbalCwm2IfUd+p60SiTqaWieGZLB5nivrmeMhlVZ5PNQMfYdMdKz/ABB45uvh7o0l/rCwnTbWAyTz7tvlnOBx6dOaiTxXdeDJFsdSO5JpYbK0vIl5nmcfM7L0HI9TWl4on0rVvCuoWt+2nzRXEEiCK5ZMMNh6g9eay2BRucxoHx+8L/GHwHqEmiata6jDDYrPcTQEPDEWBxl/u545HbvXxR/wS8/4KA33xN/bO+JnwluLiG303wndSTaVM+nSR/2tG8hMxEhwp2MQq/3gcivdtL+B9142/wCCe3i7wr4FuNH8Na9rmi3FrBqNpGIoYpXjKjJUccnr1FfNX/BEX/glL4+/ZX0a/wDEnj74k2/inUNcWe1urCKzEzwNFKVDx3jHzOQM4AH6Uitj9So7mOUZVtw9qQXSt/f7fw+tc5JourWumulvfK0isoQOgX5eO9Nj1bUNMSf7fbtIslxshMDlsKxAy3pigZ0xmVT1745qOS9VJSp3bh7VhXHjC2tZY1kEibZBb/Pxkn+L9K88/a+/aTH7KnwJ1Dxwo0GWz0kq1zJqup/ZLVVZto/eYb5skcYoDmPX7S8F4GKnIVtvB6fWpcn/AGq8x/ZM+L958dfgzpXjC8s9EsV8QQpeWy6Vfm9gkhdQVYvtX5jk9q9M+0f5xQLmRNRTfNHvR5o9/wAqCh1FN81adQA2SXyhzmk84DHXnpUGpXAtgGY/KoJI9aoWOuWt7IVtZkkbaS22QP5f4ZoA2aKF+7RQAV43+3n/AMmyeIP9+3/9HJXsleNft5/8my+If9+3/wDRyUAelfDf/kQtH/684v8A0EVt1ifDf/kQtH/684v/AEEVt0AFFGaM0AFFGaKACgnAozRnigD5A/aC/bd8TfCD4v6hpNve+Hbq0e6FnbWckJiazbyvMJkuS2zzOpEWAxBB71Z/Zu/bph0/wBJdfGS+8P8AgvUNW1S6XRPMX7F/bVnEqt9rWNzuXgkkHpivVfHP7JHw7+IPi691TW/D8d9cao4a4BlbyxMoAExToJNoC7/vY46V8kf8FCf2GNc+LH7THwN0fwRJdaNptmutLdarqOlrrVvp4ktlVAwmJCocYA6GgD7x8C+N9J+Ivhu11jw9qVnqmmXQ8yK8tmEkNwvsw4JqTRPE+m67q2oWlndW95daPcC0ulRvMeCQqH2vj7p2sDg+or44+OfwX8afsjfsWeE/C/gbUNY1C00nV438UNpVrtur6wk3vd/Z0U/uizH5QhG0cDFeO+F5byx0LxpHo/gn4of2Trni4anpsk+qXdneSomnKu4yqxaUiRCNjHHHtQB+l1rdW9xezRx3ENxdw4EiRn50U9N360Xt3a+HEmuZ5lj3Ll5ZE+4B3J9Pc1+eWl6trdl4YlN/4f8AiLNqnjTwxoNzqkxvbizW3lM8hmBkU5hcDqF68Zr1XwZrfivVf+CZHix9cTXLPUrVNXghF2Xa9+xx3DLAQ7fM+YwpDHlhzQB9Kal8cvBOjaLqOoXXirRbSy0SRbfUrm4nVFtGfG2ORicKzFlwD13D1rpoJINSsLe4jk8uOTG3evyupx/PtX5tePfgF42sPid408fSaXrPir4faT4h0+/n8DrpIZfEpNhBF54fkyhGYNtIIDR56in+LbD44a58QPGsKeJvEE2m+Dba58Sx6ZYRFp7jT79GjhskVcf6RbeUzBeuWHI60Afo7r+r2Hh+KEXl9b2P2yT7LDuby2lkb7qrn+LjiotW8Q6X4W8P/bNUuobXT2xG016PL2sTgbmbgc8DPtX5BqPih4s8VaZb2tj8X9U8N6Z4x8N3WiDU4Jlmti1tK15JIxYl1WXAdSSEOBW74PvvH9/oXiZvEknxMTwddeHhJqFr4khkTZqw1RVjZWZiU/dBMIOCvPegaVz9Zrm8tdI0G4uPtKxwW0ReSV3woCjJYt0H1qXTb+31HRbe6Rlmgkh8+OYOHUqRnIbpXmvjL4e6x8XP2WdX8N/avseuaxoEumvMpKKZ3hKhwRyACeoryTxL/wAE+/FWu/sq2ngfSfih4g8K6xDocWmTX9rNJcPHIIgjMoLDvzQTI+m/DGuab430SPVNHv7fULdyY47mFxLGcHBwRwcEEcVY8IeLtP8AF0l89hfW939hnNnOIJhIsMi9VbH3WGeQea+O/wBhf/gmVrf7JXwcXwVrPxX8VeMPs909xp9xIZLP7PG3LREK53MWLNk8817Z+xH+zhqH7Nei+NrPUL5b5fEXia61m1PmtLJHDKF2q5bndwc1XKOx7mTx1pahMgxUwOaTVgCiiikAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAVdQuRDLEvXdkhfXFfDX7ef/AAUJ8b/sq/HbSbHTb7wXfaBqEgB0mexvJtWuyNuY4WjXylY5IBcgdOa+3/EjtHp7ssJmZVJVN20Oey59+lfkz+0N8HvHWi/tea5f6be+MtS17xdKTH4at/H1pYNpiLgIUjdSWDAggAfL0oA++vgR+2xovxf8T3XhnWvD3iLwP4ut7JdRn0jVIQ0v2clVEokiLR4JIGN272r3DTXPnyJxsVQV9cV4f+wz8PNa+Gv7O/h+w8VR65D4ihilFy2v6gmpXyAysQJZ1AD9Rj0GBXt2jxvHJJ5n3jjOPut7igC9RRRQBDezeRHvb/VqCW+lfL/7NUnhtf25vix/YXmi8uYbWS83b8bgnbdwOp6V9QXIX5Sevavnn4IajZ3/AO2p8TY7cahujgtlm8+Bo4wdn8BI5/CgD6MHSigcCigAooooAKKKKAIpTsCknA9RXk37Sn7O8n7Qi6TYzeMNc8O2tpdperDp6RMLuWJ1kjLl1ONjKCMYzXrCIUBByy+hFNeAt9wKoHqP5UAZvhrT7nQdFtbK4vrnULi3UK13cBQ9wfUhQBn6AVseZ7GqsVq2ThV3erDOTVjH1/KgBxCynp0pDAp7ZpAm7/64pfJ+n5UAULuyt5yqyxrIoO4xuuR6ZPrXhPiv9li9+F+pahr/AMJ7qTw9rOq3b3d7ZXMnmabqcjn/AJag5ZFHOBHt5619BeVnP94+1Qy2GY8LuHOeO1aRlck8d+F37Qtp4n8XP4P8TWR0Txjb24e8hmA+z3BUAM8D5I2nOQCd2DXz/wDto/sfeB9P+KPw11qXRRHpkGoXUc5bVLhJeLWeXn5wpGeea+tPiv8ABHSPi54WfS9RsYfmJZLhUHn27c/vI2/hcdjXxp+1x8H9S8HW3gr4e+LNU1zxR4Bm1S4FvrCK1xqlu5s5j5c5GTJjkhgAAMDtWkdRc1j2/wDYX+Kei/FP9j6zvvDt59usRYkEoVPlEJ931/Pmu9/ZBiU/BaHbnd/aF4fn6585q+Zv+CQn7Engn9mD9i2Wx8D+Itb1az1a+l1S5uHuMyM8irmMjGVC44U8jJr6G/ZF1tdG+FcOn3K3Ec8upajJHvQv+7W4YZJ6AnI4NZ1Ij5kz2hoA9O8pQMetQLqUWdu5iyjkAZxUtvcLcDKsGxwcHoazKuNuLOKdGDIrcdxXzH+3p+xXpX7Uv7LN14Hfw3pHiCK4u/PjsL65njtmfn5mKMG464zjivqAvya+ef8Agor4HvPFn7Omr/ZfEnirwvLZ3MM6Xmg332S4OXVSm/B+U5zigTVzI/YQ/Zr179jv9njw94NsdN8P6bHYKwvYbaaeZXkEahPLMhJAJGCOBik1xfGWkftUeG47r4ieKrTQ9Q0y81a70lbe2a3RreSJfLB2b9h3nvmvVv2cvhvJ8O/hRp9mdc8Q68LqJJvter3X2m5BZRxuwK5Xxpk/tt+BYZPM/wCRW1YFgeSBNb9u5oFynq2l+NdP10xm2uN5ZfNAYbCV6d/etFZgZkUM4G0MQOmPeqV34UstRvFmuLOCaRU8sOychetU18GzWMlw9vfXg86MIiM+6OLGegoDmNpHDO23HcH2qwsm6uUkGvaElzLHbx6q0gQJGp8lhgckkk1pv4wjs03XSSRBWETfKThiM4/+vQHMupa8VeHbXxfoF1pd7G01nfxtDMu4rlGGCMjkfhXzR+wF+zf4M+EviPxlqnh3SZrPU5NTuLWeRr2afMYlYDiRiB0HSvpXTtfs9cd0t5lkMEmyQDqrDtXlH7JxVpfFoVduNaudxx1/fPQHMj2sUVGLuM9Gz2OO1NS8jkRWB4YZGeOKCiavG/28zn9mTxB/v2//AKOSvYBcKWwN3r0rxv8Abykz+zP4gGP4rc/+RkoA9N+G/wDyIWj/APXnF/6CK22OFNYvw5GPAej/APXnH/6CK2j0oAx5rzfa/wCv8rklpFOBGo+tcT4G/aY8K/EPxVqmk6VrlpcX2isftkDgqwXn/VnGJOh5XNcf/wAFCPhx4w+Kf7LHivQ/A800HiS68gwvDJ5ZaNJkeRRyOsYYdec18h/tQ6sfiTpXgsfC3wF4o0PxF4P8N6ki6omkT2a6PIbXCRRFlHml2BVdp4JoA/Q4ePbfU9fj0+1ula7CfaGjdGA8njkHHXkcGny/E3Sz4ibSVuZPt32X7YFKH/V7tufzr8rPG8vxb+Ffws8Mw3niD4gwrrt1o39tahcXjrfRRyWzNcpBxuLhjjywCTj2rjPAEHxd+KnwluLjw34s+KGqWc3hQWtvrgaZr5rgawN2HxneIcqR125oA/Zy21Fru0jkyqxlfmODn8Kzv+E8017jWLW3v4WutGiWS6Rj/wAe4Zdy7u/I5r8lfiLZ/HHwf4S1TT5bz44NdafrviJtJ1C0uJ5lMSWsZtRNGqEyRs4IUAjBJr3/APYA8CeOpLj4teJPFmm66t94q8LaCUe9tpI2vLlLArMNrcghzgg85oA+vPhv+074H+NWoNDoeuwahcRKzFFBjVgvDMNwG7B9M9KZ4Q/ao8E/ES/1q00nxDYXEvh8EXf2gGIxlc5KlgA6jHVciviP9nbwlaeOtJ+Eek6D4L8TWOt+EtR1O61+afRZ9KWCxeC6QIjyKBJmSRcKCTk7ulecP4a8T3lj4b8J6F4C1bxF4f0/Q7uG9vNW8O3EOraCscTH7MLlgBcLN9whF9fWgD9KLr9oDwdN4Dk8QHXNObT42MYld/kklGQAF+8Rwccciuv0aex1/Q4b6yFtdW91iVGiZWX0yCOPyr8k9Ls9V8LeIvE2ryfCXxHJoeuX/hy00Lz9EnuI9HeGzeOa6W1C7gsTcEcZyOa+jr/4Y6h8C/8Aglzpfhv4f6r45fTY5SZtQttMuLfXIFkuzJIyREeYBuYjbjO3npQB9w3N/ZpqMcMywnaAhBTcWzwOnHX1pDqum+JNLuLeJobi3YtbSJgFVYHBUgfjX5jeOIvFWiWdr/wj+sfHqO00u6e9gvpoLqVtScBT5U0IjDbeByf7xrZbQvF9+mjza5J8UvC+g6ppl1f3l34atbiG9lvS6GJJFVWYZDP1HFAH6K+H7fT/AAvoy2Nt5UMVqrMwYttRMknBPvXPfCr4W+Ffhpp+tah4RgjtW8WXcms3MskryJd3EnJcsxJVeB8owB6V8pweLvHVz8VNP8M3UPjW8jk8SyQ3j3FpMbUWJ0lijGTG0jzduefv5714zqenePrmfwhp3mfFzQktLC20GbTYI53sL+J3MbzHCYicKxOWJ6CgD9MNL8X2M2pLaxyWc1zCmbhYUO3zD/dPTHWjxt4c0/xXoslhrFrDdWt46t5bKdrMpBHT0x3r81PFHg/4pfDvwXb6N4Tu/iV/wjMXiWO31S5MUz38VgDIJ2iwMkg4xgHPFZng34QfFj4m63HZ/wDCX/HaDwzpnhNptNumuprS7vp11An99vTPmbcrggEoB2oDXofqppMkM6zJGXkjjbbubgJj+EfT1q1KyogbbuweAprl/hddatq/wi0Sa6VbXWZ9Pi8/zYThJNvO5eufWse58JfEiS9kb/hJPCv2fP7tDo0hZR7nzOaDSNOL+I9DLfKu0qG6/NT4XzKyhGUqM5OOa85l8M/EqSYMniXwssY6q2jyFvz8yu28MWuoWenBdSmt7i6ON0kEJjU/gSaAlTVtDT8zPDVLUYQN2qSgyQUUUUDCiiigAooooAKKKKACiiigAooooAKKKKACiiigDN8S3H2PT5JmjkljgQyNHGu53xzgD1r82f8AgpFrmpfFz4lab/Yfg3xj4dljhlkn1/Q/Dsd9q0yrtHlFyyvCT/CVbJxX6Xag3lSRyFSyrnnsK/N/4ifBDTfEn7cXxcXRfFWtaXeWunJfagNXu1htjdGINAtr0Bi2lxJ3ztxQB9afsVXPnfs5eHbeT/hJpFa2ZvO8RIReZEhGJSWY7s8gEnjFe2WPyyuvzHAGSehPtXzR/wAEotZ8O+JP2H/Bd14X0rVNJ0fN2sNtqcjPMki3EgdiWJJDMGIyehFfS+loqxsVGNxy31oAtUUE4FZ51RGnaOJi0gG/bjqOlAE+othR3HPyjvXhXwvnlm/bN8eKpYRrZW+7nKq2wV7lZTG4i34UdGzXz78C/C9joX7cnxVmtYpI5NQhs5JWZywciPsM8daAPo5fuiiiigAooooAKKKKACiiigAooooAKKKKACkfp3paKAGhvk6HpXz7+1iWi8f/AArDRNI03iO5DeUfli/4l8/L/wB4fX1r6EPSvzP/AOCtf7UXxx+G/wC298GPC/w/8A2fibwrdyy3n2wnbKbswXCPFkuBtWLL8+n4UczQctz1T4U/sw614g+Ckd54L1KbQZr5QNR0pb2SCDWQOVIZf+PYnJyyDJH0rt/2RNV8DabFrHhC3tde8P8AiJWeLU9M1TVpp5g4YhmtzI24xseQwwWBBxXe/sXWk8PwJ0vcturMqvGYyTlCByc9+tXvjn+zZ4b+M9tavq0LR6ho96mpaRe27mOayu0B2yEr98An7rZHtWqlcylGxuXWtX3g7UmeT7ZqNvdXgVY4rcbraIR/xHqVyPvH1roPBtx9riubhLqO6hmkLRsg2hR/d98eteM+HvjhrPwCnh0b4pQq1peSmLTvEFou+2lJGRDKPvCTqc7QuO+a9SurO+ihXUNLvGmjeOMx2vyfZ5BnqpHOce+KUohGR1yjcOteQ/tzH/jGnxBjdjMH/o5K7Twp8QrTxRcXcMMjNdWLhLhChUxv/dyeD36cVxP7brbv2Z9dYjyxug69v3yVjFNbmp33w/ZU+HWi792xbOIcHHUCvMfGl9H/AMNweCI/3e6PwtqpIV8yKPNt8ce9eoeCpI08AaQrNhWtIx06/KK/Pbx9+yJ8aLX/AILm6P8AES18f2Fl4H1LRHktdLjy0q2sJt1uImBQj52wcg59xVAfpUrZC9elI7Z9aepDAMO/NLigCEnJ9eveqv2OOcbWgDAncd/P+TWhiozHn+GgLIyX8O2ZvlaONYpN29jG3l7j746/jXjv7OWmXbL4p/s3UGtz/bNxuHliTP71/WvYPG+pX+ieGL640uy+3ahDbySW9vkDzpAuVXOQOTx1r4J/4Ir/ALVfxU+PnxQ+OGl/EDwVZeF9P8N+IHTTp4VbdcAyy7w+WIJBA5XigXKj7q0qbVNOjtPtiQySNuE3l+2SD0+lPsvGFnKlubgNZyTJvRZeBgdcVv8AkbpBJjtUF9pMN8u2SJW3KVzgfKD1oIsyAajFPt23Cybl3qEx92vKf28P+TaNe+tv/wCjkr0h/A1iZWkjjkhuI4jEkm7jbx2/CvIv28Ib6D9nbxBtnaSJUthyOh89P6UFRv1PZfhz/wAiFo//AF6R/wDoIrarD+G0nmeBdKPO37LHtPqNorcoKM+6RpZHaMg7vk2k4De+aq+RJdRyfP8AuYyVWIoBgjpitaaGN/vVDqCR+Uqtu2N8pUd80AcN8SvAfh34h6Glr4lgtpoPNV4POYRvazAECRWyCG64I5qz8NPB2g/Drwpa6H4ZSx0/ToQzwwWzK+MsSz/ic18o/wDBWv4Y3vxq8V/DHwfb6Vb65azXj3L2UtzNboXQqqOXiZTgBiMZ715rc2PiD9ljxP4V8A+FbCz8IyaTYj7ZNb3UtxEInnLGAtOzE5LBs/hntQB+kDyNkNvaSQn5CpxwfbviiaQiNHkZVaMlZDnjb3Jr5D/a++PfxC+E/wAcbNvD/iDTY9LbSrS3bTZ1ABurhmjWfOPuIxDNg8AVf/Z4/ag8afEyx+MXgzxiuk3WufD/AE6EnVtIVjZ6h9ohZwY3P3ioABx0NAH1LZ69Z3k7rbXVvO6thQsoYDjrkHpVfTNUhuFuGtbrLW8pWVWkDZY8buvC1+Z/7K/hfw78BdL+D154N1C60zxR48v9UsfESPdSXqvaiC6kVmBLBMSIhyMHjFcD4F8XX37L2h29nNrFwPEXxJ0S+uP7Z0CZ7rT9YghhZ3mvFlJeCWNSWUIqAk4welAH642+sW4EkjahBIsTAEh1wh7jOaty3Ej3B2qjRbN4YSnJP09MV+Pfhf4leHL/AETxJ4B1zxl4o1DwfY3ug3OgadprrHJqd/eWryyxNPIB8kshLN8w24wMdK+urn4j/E/9kT/gmfpM+oav4f8AFHxEhkFv/aM5Z9Ohjkujs8wpgkpGQnH8Q7igD7MkPmSwojSBl5U56D3+tR3U7eZtWUK27cAHyD/sn0zXwPrX7d/xW0Gwu7eHVfB/iDVPDd08uoNpm6JfsKAFTIZtod+Hz5eRWX4Q/au8YX2sSSabrmmaD/wkWi3viUT6kG+yvNA6eXASM/umEhyF+c4GKAP0OeP7NCqxq0jZ2gO5wO5yaawWZPm/eLgL8rbi4HQj/GvkG7/bn8R6vqWn6H/xIxceIPEkmh/ud25YRpbXBfBOVJdcAnjGK8n8Ift0/ECL4e+HbPw3cW11o1rYx6JeXbgI+n3vKnzVfDsQWXBQFSaAP0Yh5GzcqtGCyIH+ZvqKZGskcKssguJRnDFsKR7/AEr81NX/AG2viX8Fl0a1M2gajrmteJrXw9cazMsjRwxT7zv+X5Qy7RyRgc5q5oH/AAUP+OfjrxNNo+n3Hw7WTSfDLald6paw3JguZlvvKxFu52eXgHIzuz2oGfpRo9xJPbs0ixgZ+Qq27evrVl25rkPhv43vPFHwj0fXpbT7TfX2nxXL29sNu52XJC7uPzrmT8ePFMd7cQL8MfFzKpIWZp7XY3uMSZquW5HM0eqAfP7fSpNozXks3x88VW0i7vhZ4wlZuCEntMD85K9G8J67ca7pMdxd6ddaXNIBm3uCpdPrtJFDiEZN7mk/ympKYzAn+Kn1JQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFTVo1aHcxztB+Qn5XHvX5qf8FGPGPjjxh+0BeaQ3w18E/wDCN+GJLdLbWdc8OyaoLmzmj33EyOjKIxEwVSDnOR0xX6Ua7f22m2jTXU0MEcSl3eQ4VVH3j+VfMvw0/bT0347fEuLwzrHhNNP8P+ITqFpo2oXTb479bWcQyrIpGF8xiCigkMvPFAGt/wAEvvEmtePP2JvCmo+JIY4dUn+0CSNbVrWPas7qm2NuVBUKRX0Fbaitrb77jbD8m9uPljUep6VX0vRLfQLUWdjBBawQqFiijQJGg9gOK8G/4KcaHfXv7LOuXWn+JNR8OyaaqXTSWTFXuNrAiLIIOGxt/GgD3nVfHel6Gtm13fW8C6lKsFoWcfv3boF9c14R4l/aY8T+F/2r7DwfNo+nNa6leG3hhhuFku2tfJL/ANoOinKRbwYsEdec9q+Ztb8aTeNZ5ofF2r3GlWekfDf7ZoZmu2t2ErQws869MyI2Pm6ruOOte2fsu/s0a5reuaD8UtS8QyQ+IL61C6gs1qJ5J1A2IiysdyRlQrbB8pbLdTmgD6n0J2W2m3R4y24DOd4Pf8fSvFvg/g/tqfEpsD/j2tMA9R+7FewMt9Ha3ccMuZmTMTFAqp7A968D/Z4vbyT9tr4pQXfzXUdpZHf/AA/6oUAfTVFA6UUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUABr5//a7ty3xD+FchZlz4hueBxkf2fPwf519AV4P+1+c+PfhX/wBh+5H/AJT56ANT9jTTzD8DdLkSSSVZBvZXOcZA4/CvWhZrtRdq7c5AI6H1ry/9ixv+LC6T/uD+VesFv0oC5j694MsfE+mTWOpWdvqFjNw0E6BkP4GvAT4F8Vfsi3U0nh+LVvF3g2+vTdzWs8pkudBQkbktwOTCF+7GoyMHnmvpYsCO9VNTm8p418uRt2TuX+HH+NaRlqZSjbU890LXdF+N3h+11LQtYmWGznEqvE+G8wZzFOnUYPBU4IxXB/toeLl0b9mrXtM1iZmvI0gneVojHbhTcIAPMPy7vbOa0viJ+zve6JrZ8RfDvUv+Ed1hrj7Vd2QTNnqafekhdPuo8jc+YAWBz6155+0f8ctD+O37MPijQNStb3RdehkgabR72IfaiqzJ+8VCfmQnoatxT2IjJo+kvBc0d34F0SNJJFV7OJ1Kna2NoP41534vkjT9s/wQAm4f8Ixqh85vvR/vYMjPvVv4U6prPgrwvpq61ff2tb3iPcpeG3WD+x4AgKxMBwcc8msfxFqEN7+2h8Pmt5RdQ3XhPVZVb/lnIDLbnJ/OspRsbJnvSfcX6UtIn3F+nQUtSUFM8r/OKfRQBBNbFmXDY9sda8U/ZNt1juvFTrvP/E5uVw2OP3z5x7V7g33lrxP9k8HzPFf/AGHLn/0c9AHtQXH976U2aNnXAZlqXcKNwoC6IPL+YeqjHPSvJf231Z/2avEQbj54Mcf9NUr2HcK8h/bfOf2bPEX+/B/6NSgD0D4XJs+Hui/MT/ocXX/drfrB+GI/4oDRj/05x/8AoNbxOBQBFLdxxffIXHXPaql/cxsySGTaqgja3yiQnoK+bf8AgrH8Y/FnwA/Y18S+KvBerXek65DLbxxS2limoXKlpkU+XC/yuSDjBxjrXyr4Y/b5+K3w48JeGD4m1vxZq+u68utXNrYeJfDMGjCcWlosy7ypYqgJyGAOTkUAfphd6Fp+q3trcX1nZyXVuD5DPGGeLP8AdP5VieOvg54X+Iss39u6Dp+pLNGqSzXEAZnVWDKvPYMAfwrxLxf+2fq3gr4DfDDVl8MN4i8T+P7S3k+x2twfLtjJGGklaQDIjUnGQO4rzP8AZb/4KLeIP2qv22NPTSYb6z+GupeA5NUi0e5gX7YL6O/Ns8jHrt+VsDOCMGgD6o8cfATwT8TZ4X1vw/o+tXFrHNDbS3cKzNBHIu2RF/2WXgj0qbwX8HfDvwq8NR6J4d0mx0bRlTb9htIhDDjuMdgcng18H+A/2gvjVrHivx342/4WbH/wi/gv4mXHh9vD02iW8QkslljXy1nHzbgrHBxljxVWy/bQ+ME/7VN5Hrfiq/8AC/heTVxHZWuq6LDDo+oQMSY7e2vT80t0ygfu9owdwzxQB94eBP2Zfh/8Kb+Sbwv4U0LQLhmZnNnaKnmhh8wbHXJOah8M/sw/D/wnf6tcaZ4N8OWM2rK66gILRQbwMCG3+xyeK+Bfgf8Atv8Ax6+IYmuW8WeGox4m0Ka/0xtQEdrDpEsd+0BMjhTlfKRiCerED3r3T9j/APac8beHP2aPit43+I15qniyHwLe31zp+pHTksW1m0gjD/uI1+WSI4O1yec0Ae/Xf7Ivwv13wpb6HL8P/Cb6PYzi7htWsUaNZOSWC9mBJ5963Lf4JeDz4Ebwf/Yel/8ACP7SF0kwAW23O7/Vntu5+tfKHw6/4K7HxfqETH4e6xa2Bm0t55S2Fiiv4TPGynHzFUGHBxhuOaef+Cyegt4RbxJdfDzxZHo+pWxm0N1jBvL8i5+z+Uy5+V94Z8An5Bn2oA+jNV/Y/wDhj4i0eztbjwL4RuY9LieGJH09WWLcuCAOwI6irGs/swfD3W/Dum6XqPg/QL/TNKMbWtnJaKYbUoMAxL2x6Cvlax/4K03vg/xzrWk+LPD9r4f1a5kltdL029uvKt5XtwXml83bu2upAXjkjtXefsiftl63+0T8S/iVNcRyR6RolvYy6TpxjCtbs8DNIQ45ZGYZBPbHFAHukH7N/gWz8WTeIIvCegLrkjhpr1rMG4JCBAS3rtwv0p0v7MngG81621a68H6DJqkflMl1LaK0kfltuTB/2TyPQ18b/C7/AILN6pd/DfR9X1n4d65qV59hl1bVhYfvEtoBftZqsZwPMkztcqcAKSc8V7X+13/wULX4K2Og6X4c8L6t4g8QeLtPvr/Tdo2xRpawCZiTzyy8KMfMRjigD2S8/Z88D32k3Wmv4Z8P/wBn30ss81q1orLK0jFpGI7sxJOfc1N4S/Z88E+DbSOPTPCug6fHb2ps0WGyVMQF9+wDsu7nHrzXyDo3/BWE6Fo3gPTvEGi/atc8WXVvY3R84Q3FrJdLvjVUA5EYG1zwVOOtQ+D/APgsRd6J+z5o/iHxZ4Ys9O1e8MsxWfUNkLW63bW6hX25aXIDbMYxzmgD7t0ywt7G1jjtx5MMKhFgT7iAdh9KtG3SNtyqqMwzxXOaF46tdS8D2usxpN5F1ai7HycsNu4/mKtDxpb3Fnb3CrcKk1sbpfk/gGMr9earmI9mbAslkm3yKN397GKngTk/4YrEufHVrHqa2rRTMzQeeCPStbSb7+0bKK4BbZMgdQeozRzMFTsWjH/nFOpoO71p1SWFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABUYZmC7fm96kPSoVjJjUfMnPagDw39sX9q7SfgLZWdhqnh/Wtds9UtrqS8ewaL/RIIk3SMyuwZvlzgICeK+Xf2cfg1pX7R3xM1JvAXxl+K2h2/hGKK+tVW205reCPUR9o8qMNEWBXAB3cgivc/24dN8Xa18X/h/D4X0Pw22pRteNbanq2gSaotq2wYAdGUQ7uhLHB/Csj9gmy8SeDPGPjyDWvAfh/Q7WbUbfy9ZsbD+zm1u4bebhjGxLEJJkKe4ORxQB9EfDDw5qPg7wxY2Wo69qXiaeFWWXVb9EWa45PBCKq8ewHStrxJ4QsfGehzabq1rDeWM4AaEnhgDkZq1cp5CsiMztM4O0tgr9Kms0ZnfzGjaQ9cLg7e2aAPLfjX+xH8Nf2iIfD8Xizw5FqUfhZg2m4nkh8jGMKdhG5eBwcjivVbLS7fT7WGKGNY4YUEaKOigDAqXyBnt8v3fapKAKV/EXZQu3Yww/rivm79ni7ur79s/4qbtE1fSQkdsnn3skTR3YVMKYthLBcdd2DyK+l9RbFsQduG+X5hxzxXyr+ybb6bbftv8AxmaxuPEVxNm0W4Gp28kcEbbDgW7MACv0z2oA+sV+6KKB0ooAKKKKACiiigAooooAKKKKACiiigAooooAK8H/AGwP+R9+Ff8A2H7n/wBN89e8V4P+2B/yPvwr/wCw/c/+m+egDoP2LP8Akguk/wC4P5V6xXk/7Fn/ACQXSf8AcH8q9YoAKbJF5n4U6igCHyFk/DrXzd/wUP8Ag34e8cfAnVNRuo5rXV9HmiksL2A7ZYnLgf8AAl+Ygg5r6XxXiv7cFith+zr4guFLM3mQOgbkRnzUHFaQlYlxucP8CvjzqHgO28P+A/imdJs9e8R27jRLqxjkNjqMaR5ZWZuVkUcndgHcMZNaviDS5vD37afg3Uluri8s5/C+oRRWoCeVZKHgyyYGSpxk5zXoWq/CHR/i/wDCjRdN1u3N3A1kmCQNyNtBDjI4ZTyD6ivArXw/qH7L37WnhO11zXpde8JWfhnVZrK4mtnm1CzXzoCySSAnevPACjAArTmUiNj6a+G3xQ034neF7XVtLvDdW91v2v5TRrhGKnhgD1BFdFpV+t+rMh/dkAr715ybBvEsv/CU+EdVF9DeWqw2sfnCSwb58swQY+ccjOa6rwT4ysdZ+3fZ47q3+wzm1n+0QNDukX7xUMBuXn7w4NY8ppc6iiq66ijNj724ZGOfzqdW3VIxJDyv1rxX9k3/AI+fF3/YauP/AEa9e1su4j2NeK/snLibxc3/AFGbj/0c9AHtdFAOaKACvG/28Tj9mbxB/vW//o5K9krxv9vPj9mXxB/vW/8A6OSgD0n4bf8AIgaP/wBekf8A6CK2zyKxPhv/AMiDo/8A15x/+gitugDgfjl8CtD/AGgPAsnhvxNatd6ZJPHOESQoxdGDKcj0Irhfjj+xb4I/aDuLG81yxuV1DQba+07T5UmI8tLuHyZWxnnK/lXtN23yyKuW+cDC8Fa8yvPj1JB+0H4l8F/Y4fL0XQrTU4Jd/wA8rzNKuzH/AAAfnQBy/wAQf2GvB/xD+Engfwvqc2pW6/D/AMldG1CCUrPBJEuxTxwwwOQwINXfgX/wT/8Ahj+zX4nsdW8I6TNpl7pukvosDfaHkxA85uHHzE8tIzNn3xXMeGP+CiPhOw0GQ+Kxq2k6sJ7yOaGDT5rmGyiglKebIyrhARg5bHWtrXv+Ci/wt0X+0JrjVdROkaXClzLrA02ZtMlViqKI7jb5cjbmA2qSc59KAM3R/wDgmh8NbPxTqF95GqyWereIj4uutOa5P2d9RLq4lPOfvIp25xx0pNa/4JqfD/xH4rhmvJ9Wm02y1z/hJbfRpJt1rBf7mbzgfvdXb5c4+bpUkX/BS34Vzy2cK3nib+0Lt5xBYHw/dfapDCod28nZv24PynGCQcVbt/8AgpH8MNU8TW+kafe63qWs3CorWdtpFw7WzyLuUTgL+59y+NvegDiZv+CMnwXHh7WLFrHVLey1Cy/syCOO9fbp9t9pF0Y4jnJBnBclsnkjpxXrGhfsleG4fhNrng+8uL3V9H8R2strd/aH2s0cyeWwG3AXK+nSvMP2ZP8Agq54B/aC0rQbW4stX0fxNrFldasNISymuPs9pDcSW5kLhccsnTrzWvN/wUm+Gl1AL6z1y6hs7NbubUo7ywlgmt0gTfK3lMA2AuT07UAbHhv/AIJyfC3w1ayW9ro0iwutijZuZDuWyhMMPf8AhQ4965a3/wCCQfwbtdDudHfS9WvPD7W32Ky01r1/L05PO+0ZjbO7PnZbJJPJHTitTRv+CqPwZvtGk1JfEGow2pe1jha40meL7W1xGXhEIZcyblBPy5rK1v8A4K2/CG58LJqHh3WNQ1y6u7RrqGwtNJnlmjRZDEXlRVzGA4xlgO1AFjTP+CX3w302K8vI7jWJPEklzNcHXpXWa4heZQsoVWBTDKMfd47V6J8IP2VvB3wf1PXrjR47p9Q162t7bUJ5G5ufLjKI2BwDgnoAOa8t+PX/AAUGuPgz4K+G9x/ZW648daZc6hPOIXkjskgiErscdtpPU9q3P2W/247L9oTxp440K10m7gXwbpmn6kNS2sE1QXVuZgEyOMdOpoA5OD/gjf8ACG10XT9Oij16KG0t20xx9sYC/tTcm78p8HgCY7sjB4xnHFekftE/sE+CP2lYtEXWf7Qt7rQoLmzsbmzmMbw29xGIp4vTDxjbnqM8YNea/CL/AILB/DvxV8MNB1zxLa614b1HWIZrqTTY7Ca7a1gS6e2WV2VMAM6jrjGa9a/aB/bd8E/s72WlnWry5e+8QWs13o9lZ2Ul3LepCnmOwWME8KQaAPM7D/gj58JbTWbXUdPh1nT5bJ7ORV+0eZums4/Kt5PmyQVXI44bOTk1HqX/AASF+EMtrarHFrCQraNpqL5+9WtzMZzDhs4/fEvuHzds44rb8Lf8FOPBEXhTw9deJE1rSdQ8UXQtLBTpU/lyvLloVL7cKxUcg/dPBrG+G/8AwVk+H+tfB2z8d+KbXxF4Ys55ZIvLfT55441WcwCQkJxlh+tAH094E8H2/gvwnp2ixu00em2kdsrScsyqMDPatj7KuMeWuMYAx0FZGmeNNKm0aPUEvoTZ3UX2iKZ22iSPGdwz2A5zVk+MdNEcbfb7XbNEZ0PmD5oxjLj/AGeRzQLmsWn06H7V5xRd2zy+naprWBbaFUUYVRtFZ58WaaLvyTfW28x+YF3jp61a03U4dRg8yGVJFIBBU5yPWgZaopvmL/kU6gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKYOD1+X3p9GKAMnxJfSWsSwwQSTXEwJjLMVi3DoGbsD0r4/+Ov8AwUA8ZfBLxo2j+JLH4HaXcRSsLW31LxtJDcN3Q7PIOGK84r7H8RvHDpjyysyxw/OxAzjHOfwr86P2wfgv4D1P4w6z46tU17/hIPFE0VwC4gmtlvLRPKgkZDl0TBYkADNAH2N+yP8AHtf2mvg1ofjKNdNWLUxKNmn3P2y3yjsh2ykAnkelerWCqZGZf4QEORzx714L/wAE6vhxp/wu/ZM8LaHpt9PfWcKzyLNKU81pHmd2HyfLjJOPavfrNeC21o93JU+tAE1FFFAFbU+YgpG4McYP+NeDfBy5vZP2wPiT9uazEMMNqIYYrgySEeX1ZcDFe7auFWESN/D6V8x/s2Q+NP8Aht/4rN4oHh1tOkS2/sj+zhJ54h2f8tt3GcY6UAfVCnK0UDgUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeD/tgf8j78K/+w/c/+m+eveK8H/a+OfHvwr/7D9z/AOm+egDoP2LP+SC6T/uD+VesV5P+xcGHwG0ncu35B/KvWKACiiigArxv9vAY/Zn1/wCsH/o5K9krxv8AbzP/ABjL4g/37f8A9HJQB6J4Bb/igtH97OPkdvlFeW/EWwh1D9snwXa3UKXEEvhbVQ8bru3jzYM8V6p8Pf8AkQNG/wCvSL/0EV5X43/5Pj8Df9ivq3/o63ojdAc34y8O65+y/wCJ5PEHhGG61bwJNF/pnhi2TdJBMes9seTu4AMQwuCW611/gj4jaD+0b4Xh1/w5qU39pWcTwiMyc6bcsuGS4izjevHyt0NeqyaVb3EUkcke5ZiHYDua8Y+NHwO1vQPFE3j74bzRaf4o8uO3vdPYAWOuQqxISVcZEi7mKspGSRuJFbc1yVodv4J8Q3EOpXWk6n9tSexjgiN1PF5MN7Ky5PlnPzc5yO1d8vAFeG/CH4y6L+0jfXmhata3GneLvB0sc9/p04MbWdxg7XUj5XU8kbScDrXeWniK88Dg2WoSape2tvD5razc+X5UjM+BGQuDuGcDjGBUyiHMjuEbdXi/7KP3vF//AGGbj/0c9et2c8j+XuYFWAIz3H+NeSfsoJJFJ4u8zau7WbjaV7/vnqGrFXPah0ooHAopAFeNft5/8my+If8Aft//AEcley143+3mc/syeIP9+3/9HJQB6T8N/wDkQtH/AOvOL/0EVtnpWJ8N/wDkQtH/AOvOL/0EVt0AUcMHX+GRjuY9vSvm/wDa6/ZR8cfFD4kWniT4c/ERvh/q1xYPYarMuixaj9tVATAcuR5ZjZmIx1Jr6exmo5bWOcjcvT0oA+VfBX/BPifRvAWvaTfeLLnU5PEmhSadf3M1oFeWeZQZ7j7x+8+W2dBnArj/ABL/AMEsda8Q+A9U8CN8SZo/hO1tEml+GF0dN2m3KSJJ53n7t75cE7TxzX20tqidFpTFukzQB8d/C7/gnD4k8OfErQ/F3ib4kzeJPEGjyXsT3Y0lLRpreaIRxR/K3y+WdxDDk5rIuf8AgmV4if4mWOrad8TJtH0+HVRql7FbaUkN1fhScwzTKweRW3H7xI46V9uCFVYnH3qa9rHKeVoA+C/hL/wRvuPhpobeX8R9XOrtoU2gQajBZ/Z5reN75rzd8r+p2+9TaJ/wSh1O4fxB/bHxCfVBrOl3WnM0mixrKjTxNG7lt2WyG79cV95Y4qOa2SYfMvegD4j8c/8ABI3TfFXg/wALada+LJrDUfC40240+7Nn5iRT2UHlRsYy2Oc529K564/4I++KNGsrG+0f4qW2jeL7jTW0nVtXsvDcMa6jEbgzY8gMETsMjnivv0QKhbC0fZ1/u0AfNfxq/YHj+MHgLwnos3iaazPhnQb7RC62oJuvtNv5Jkxnjb1xWX+yT+wbdfsreK/GF3F4zuNctfE2laVpKWptAp00WdqYN33jnzPvH0r6me0jcfd6e9MksY3MeFwVOeP60AfnNcf8EWPF2meFtPt9L+Ml3Zzabpr6PdTf2Gkx1KFr9rw/KzYUjcEyP7ua9w/bE/4J/at+0jp3gW68K+OG8Can4K065sYLxdNS8lkS4iETAbiNpwD+dfWHkLSeSo49aAPz81n/AIJIeLrm68Psnxm1JrHSrywvmtJdLW4UT20ZRpBuf935hJZgO571F4l/4I7+IJ/AyaXY/FnUPs6WZ0/yn00TQCM3JuM+Sz7Wbeep5xX6EeUh7D5fanhQO1AHB/D34dt4Z+E+h6Jqc0OtXml2MdjJdm2WNbnChWbYOFDdwOK1joFiY4Y20uA+RH9mXEQAVD1Uf7PA/KukaMMP8KTyB70Gcqd3e5jN4V083Qm+wwmQR+V/qxwtaGl6ZDp0KxwxrHGqhQFGOlWAyqKSONIWYrn5utBoP8tf8mnU3zPY06gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAKHiEO1h8m/dkbdvc9gfY1+YX7S/wAI9G8BftM+KNWXxRqFr4s8SXUd3qun2eoLI8SRDEUaxrkxq6tkqfvcGv1A1zzGsisfVuOvX2r8iv2y/HviTUv2nvEHizwF4L+NHhXU2uDY6rcRfDqDWotUe3xHHJDLK4ITCkggDIINAH6NfsSaLpPh79m3w7baTZ2llaqskiwQx7F3GRsnHqTnPvXsNqCGbJzz+VeJ/sP6hq+pfsveGZ9aXUZtYkifzJNR0xNKuP8AWN9+BMiM+w617LpB/wBZ91hn7wfdk0AXaY04Q4PFPzVV3zKys+5eyD71ADdQP2hMbtqqCTtHzH6V89/BPW4NT/bX+JFvBJf+ZDa2u8TxssY/djpkDP4V9CKu+JditH7nqK8N+FJYftq/EINIr7bS2yAuD/qx1NAHvy9KKB0ooAKKKKACiiigAooooAKKKKACiiigAoozRQAE4FfPP7a/iCLQ/EnwvvpobySGPxBcDbb27TSnNjOBhFBJ5NfQx6V4l+0YWi+Lvwb37yW8Ty/Nuxz9jm7UAJ+wn4ystf8AhBb2Nvba9a3GnoqzrqWmTWRDHsokA3fhXt1V7Bf3e7czFuuT0/CrFABRRRQAV45+3ZH537M/iHt89v8A+jUr2OvH/wBub/k2jxF/vwf+jUoA9C+HZ3fD7Rv+vSL+Qryvxv8A8nx+Bv8AsV9W/wDR1vXqfw5/5J5ov/XpF/IV5Z43/wCT4/A3/Yr6t/6Ot6APalt98W3ewz3zzTns12dOQcg1JGoCj6U480XsD1PK/wBoD9nVPi4unX2nahc+H/EGjzfaLTULL927kc+VLjl4WONy5GcDmuZ+GHxZvrnUZPA/xF060s9ea422Z8oiy1pAu4GMnKhxgnZkt8pPSvdgNxbrxXA/Fj4TaP8AGXSF03UsM1u32i1eCYw3FnKOBLHKuGU9jgjIJFaRlcz5SjYT6l8L9Wjh8mbU9K1K9mubm4uroD+zIsDaEU87Bzx2rm/2PLpLu38WXEEnn2txrFw0Eq/NG/71/ut0P4Vg6P471v4F+K9J8J/ESS48RaPrkhjtPEJtgltbA4CwXLdFLcBTk7i2DVD9lvSNS8Ma74tutJuLW+srrXHT7E0/k2+n24kfc0SqCCx4OOM+tEophZn02bxAVX+InGDxmnwzrMPl3ceoxXPeDvFdn4v0G31C1JaFtwXzP9YpDFTx9a29PLKGVmaRl/iIxmszQs145+3ZH537M/iHt89v/wCjUr2OvH/25v8Ak2jxF/vwf+jUoA9E+Gp3eANH/wCvOL/0GtysP4Z/8k/0X/rzi/8AQa3KACgjNFFAABiiiigAooooAKQrk0tFADShwPm75p1FFACMNwpAmGY5+9TqKACiiigAooooARk30nkrTqKAGlCe9Hl+9OooAaY89/0p1FFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAIV3dqgmso5FbcvX0qww3CjHH0oAhWzjR9yrj2rzn9pn9qDwn+yl4Nj8QeLLx7KxeQRII4HleaRiFVQFBxkkDJ45r0yvH/ANuv4b6j8Uv2afEml6LZ/bdamg/0OMEBi2c4BPTNAHH/ABa/4KH+E/hHDoFwdO8Qat/bmmNrs8VlGjf2Tp6bPMuJcn7q+YuVGWOeBVWw8Y6vr3/BQqx+w6/fXPhPUvBq6jBp5jX7KJzLgS7sbt2zjGfwrwPxf8DvG3wPn/tBdD1LXrnx14BOjJbQLuXTdRSKGNIHIyMSHcd5wo289a+yv2Z/gk/wZ+DPh/RbyVr7UNPttr3MozMCx3lN3opJH4UAdxbXsV3G0u8Da2zOdoGPrXinw01K3t/2y/iDLNcWsK/ZrYAvMo3fux717TrWi2+qwrHdRxyI2OG/hxXz7bfsfaZ4i/af8WeIdU0WJdKu7eBLSdHX96VQA5HUYx3oA+hv+Elsv+ghp/8A3/X/ABpr+JrLI/0+z/4DOn+Necj9i7wOwz9gP6Vz/jz9g3wrrQsJLL7TZm1uEd1iOPNXcMg0Ae0f8JBYhcf2hae+6dOP1qOXxNZhS39oWG1R185ev515jJ+xj4PuLmYPYzFcrtbcOePpUx/Yy8HoJPLtW+aB4QHGRlgRu+oz+lAHpFn4mtWtY2k1DTfMI+YrOu0n25qT/hJrL/oIaf8A9/1/xryTwF+wr4P8K+CNJ0m6ik1CfTbZYHuXHzTkdWPua1v+GM/A/wD0D/5f4UAejReI7HA3ahY7u/79f8aU+IdPz/yELP6eevP615LafsS+EU1K6ka1bZcY2qcfJ0/wrSb9jvwWzKW0/wC4oUYxzigD0d/EmnqNv26xwe3nr/jSf8JLZD/mIaf/AN/1/wAa8r1L9iDwbqOox3At5I/LP3R0NWz+xz4H3Y/s3nGT0oA9JbxJYkf8hCx+vnrx+tNbxFZkjGo2O0Y/5brz+teP+Of2O/CMvhPUF0+wxeyWrrbjIUO5BCjPbmjwd+yD4StvCmmLqWnNFfG3jjmViP8AWBQCM9+aAPXm8Q2I5+3WfzHH+vX5R+dNtPFNq4O6/sffM6cH0615tc/sjeCdUVwthtZ3AkCkfu8f/qrK8D/sN+DtMGredDJc/bNQkul3DHlBsfKPYYoA9k/4Say/6CGn/wDf9f8AGvGf2kvEWnzfGP4M7r21bHiiUxlZlP8Ay5TcnnpW9/wxZ4H/AOfA/pWJcfsDeCbrxvpurvZqyaTbNDawsoPlOScyA/3sMR9KAPXrXxHYiVt99Z5zxidenr1qaTxHp4GRqFifYzr/AI15pafsY+C4YfLazZgDkE46elQ63+xF4L1W08uO3kt2/vKRQB6h/wAJNZf9BDT/APv+v+ND+JbJkZf7QsckcETrx+tecp+xj4HCKDp+cADPHNNuP2MfBMltIi2BUuMZGMigD0b/AISOzaNc6hY8EDcJ05/WvI/26NWt7z9mvxBHb31nvka3IImXP+uTPf0q54d/Yp8G6PpjQyWj3BVmbL47nNRax+xb4B16xkt77S1ktmHzQuAy5zxxigDu/AGu2MPgfSI1v7H5bSMZadeRtHvXm/jHVLOb9tbwPMbyzynhjVUBE67eZYPeq+mfsieGT4/1NZNNhj0b+y7W2tMEfJIrPuAHY4K1pR/sdeCRrsFxJoMZlsYWtYLklSxSTBcdPUCgD1p/ElggUrf2O7pzOv8AjTh4i08Y/wCJhZ+/79f8a8k8Q/sW+C7+4iK27wBWxtU/e4rRg/Y68Euv/IPO3aBuOMk0Aekv4msc8X1iB6mdef1qodT0vzWIu9Pbc27InX/GvPNV/Yo8F6laeWtq8R9VxTNL/Yn8F6baeX9jaT3NAHY+MtA8N+OvDl5pGqSWN5Y6krRzRm4X7rDB5zwfQjkV8bfs4avqX7FcmuSaelrrXwgs9Tu4/sdvcrJqGhZmYtMxkbLxfeJALN0wK+nh+xn4LjlRo9PK7WBIOMH61i6b/wAE+/Aeka1qV0tiJIdVlWaS2ZQY42Gfuj3yc+praMkBu399b+I7NfE3g7VdFm1C6s0jtzc3AFm8ZcMxIU53Yz+NdP4H+LWj+M/tX2PVrO4FhctZ3RZwm2ZcbgucZUZ6jNcRo37CPw88N2P2Wx0C0tbTYUSCBAkcWW3HaO2Tn86ra3+xB4Rm17Rr7a9vbaSXzbgDZIGGAPwrED18+I7FV41C0fnr56fL+teRftweILO4/Zi19Y7yzeQvB8qzqT/rk960k/ZG8C3EjiOxX7wZ0GOM15/+01+xToeufBzWrPwto0cmtTtCsUO9Yw+2VHPJ4zgE0AfQXw048BaOO/2OLj/gIrcrA8ED+xPB+l2s0bRTQ2qRNGfuoyr0z0rVTVEa4WMgqxXJ/wDretAFqiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKr3sPmPGfmVlPBHQVYooAySGuZVjj3R+S+7LLuWT6GtJDmT3FSYooAoaqjvsk+XanDI38QPoa+dvjn/wUQ8H/AAN+MEfhGTS/EmtSW8kS63d6VaLcWfhlHAKS3r7h5SFTnJHQGvo7UDHIywyMwMwIAHevzn+PPwC+IPgb49/tNJaeGb7WbH496bp2l+Hbq3kj8qzkht/Kcz7iCF3HtnpQB+jtjdx6hZQ3ELrJDMiyRuvRlIyCPqKe67qzPAumTaJ4J0eyuNouLOxggkx03LGqn9RWrQA1B7n5eDTqKKACiiigBrNgjrSg80tFAAelZOtayul6Lc3jN/o9rE8zuvzEqoJIH5VrHmuY8d6dNP4Y1OOGN7jz7aSFrfIHnBlIIHoSDge9AHz38Nf+CnPhf4neFPEmt/8ACH+OtF0Xw7ZJefbtS09Y4NRB3bFtzuIZiV4HHUVneHP+Csnw48U+B9Y1aSHXdN1bR5IYP7C1G3WLU7u4mVmt4oId3zSSKpKL/FXzLb/sf6hZ/u/g74M8UeGfDGjLaT+KtN1i9WZtSms5TMkNvl2HmBs7uQpDLz1rmfij+zz8VPjV8fLr4sWnga8sfDek+MvDevpBI0S3E9tY28iXYChvvo+FHrnigD9HP2V/2krH9o/4aR69b6drGh3n2hrfUNM1m2FrqOnSjok8QJ2ErtYZPIIr1bTbhZxJ8jIynBBHX3r57/Yh8KalPrPxM8aappN9ocHxA8SLq+n2V4ym4hjS1ig+YKSOWjJ696+gNJCxyyDa0cjYdkPbPegC9RRRQAUUUUAFNc7eadRQAyZ/LjLE7VUEk+grxjT/ANszwHrep+KobfV4biLwXn+0Lsuq26vgER7s/eO4YB7mvam6c9O9fCX7Tn7FnjD48y/GbT9F02HTU8SS2s2k3kjrHHcrC8EjIAvPJjYZYdfagD0DwF/wU78G/EX4W+MPEMmi+K/C914XSKUaZq2nrDqGoiVisBt4y37zznBVOm48VmX/APwVk8B6F8EbfxZq2jeLLTUkv49PfwtLarHr0N1IGMayW+75S4UlRnkV414/8KeMP2iPEPiDxdo3hi8tLXwrF4atriynCJM1zp960t5D1wSkeCpBwSeprl/EXwB+IXib9qfxf8ef+EL1Cbwp4i1/Sbu000vF9utIbSF45J5FLbducEBSWw3SgD76/Zl/aD0n9qf4aWPjPw/uXSr7fiO4P7+1lVipR15wRg8Zr0vT23RnO7d/Fnv7ivnL/gnN4K1zwx8GNQvte0e58P3niPVJdRewnKf6On3FACEgZADfjX0TpMkc29ozuZfkPtjtQBcpM/L0paKAAdKar7ifanUUAAqpqdulwu1tx4PA71bqK6O2PvnHAHegDyj9oX9pjwj+yx4Cm17xVqcNhbw/LErELPqD9oYh/E56YzXkn7Tv/BUbwz+zf8b/AA74Lk8I+PPF2ta/pMWspb6DpqXRgt5G2CSTLArg8GvTP25/hrf/ABL/AGW/GGkaVpcepatqGnSR28ciIxjcjgqT0PuOa+WP26P2RPD3xJ+LOj61r3ww8ba94mj8LWmk6RrGiagkKiZHV/IwZF5UgsSwxtB5zQB7h42/4KR+DfCPxh0HwXNpHiq6/tLyIrrUYrVW0/Sp5m2RQ3Uu793Iz4XGOtGkf8FLfB+sftB3HgP+zNa02OK4Om2niW8hVNE1K7DBWtLa4z+8nDZXZgcqfSvm/wAB/s1/EL4VfDTU/h/qGg3Wva9458Yaf4mutUjkQ20eLmN7mPJIYNEibsYxk8Zplz+zZ8RPGlp8PvhpZ+H7izvPh58WZPGt/qMzx/ZrjTTdzSqEOcmRkkU9OoNAH6ZxnMa/SnUi9KWgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigCO6g89OnKnIqodMM5/epG3XPy9avkZNB5FAAo2jHpRRRQAUUUUAFFFB6UAQvfRx/eYDnBzTV1ON4d6ng468da+af2wPip44i+LXgvwD4H1nS9E1LxJckvezqsroio7EiNgQc7cZzXnfgL/goRrcPi268N+PI7Pw3eeEbu9i1GSOQSx6rbWybvtALKu1mw3yjp60AfbI1FHLKM/KcMTwB9DWddW7RSNtkj8zd8kjDcT6qR34r4z8R/wDBYvRX8Aal4g0D4e/EG4s7HUra1gFxp6rHrEcoYiW2O470+UZPHUV6FN/wUc0EftL2Hw9uvCvjKxmvox5ertp6/wBlCb7P55UTbs7ggIxjqKAPoZrBYT5dqsaybiw3Jyuf6fzqZrTzSqsqbVUhyo2hm+nvXy1pH/BXj4a6t48g0e80zxRodvcQXVxb6tf2qw2N0lqhklKSbucKM/iKqaF/wWH+HHiPwd4o1yTS/Fukros0Nrp0d7ZLHJ4jkmVmhFiC2JjIq5XpkEUAfVlrZfZ7ONAzRmQ4Mh+YgemR0q/b6hGqs25SqsI/l5OfevFv2e/2udP/AGm/hFqHivRbHXNHbTopReaLqlqsN9p00al/LmQE7WZQCB6MDXgPwJ/4Km6bpXhXT7v4iaf4os77xdcz6lZwyWCwJpGn4BLysCMxooYmQ9gfSgD7wa7jVtu7nG76io/7UhMZbd05K4+YfhXyT4R/4Kj+CfF6eMLibRvGWj6Z4U02XVrG6v7JYY9fs4/vXVk2799Dyp3cD519ap+Hv+Cxvw31GSOTVPDfjbw7HHeJY382qaesCaXvQNHLcHd8kb7kAJ6l19aAPsRL+OQKQ6kNwMHvTZ9Sjt1+Y4LHaPQmvj39ub/goNqH7Jnxs+EWkaf4X1nxRpvjZdRkubPR7YT6hKLeFZE8mL+LOeeRxXYeEf8Agoz4F8b+BdU1/wCx69pUGk6XJrE0WoW6pI6w4E8aLu/1kTnY4/hbigD6Ue7WMBm+6e9Ni1WCadohJiRTjY3BNfK6f8FSvA7/ABSufDOpaH4w0/S7OeO21LxFdWYh0jSpHhWZBNPu+TcrKBx1YVi6N/wVm+HPiz4raj4cvLfxF4fSyN0bTXNRtEg03U0tUMkklvNu/eIqjdnuCKAPsaSfYjMeNvX2rPjK52yuvnQtuGBtBz7elfKehf8ABVvwT4i8CeJNYl0nxloiaSqnTW1CxWNvGBIJQacC2Ji4GVAxncKueE/+CoXgzxB8LNH8SJ4b8bJfapqj6B/wjs1gv9sW90sLT7JIt2VJjXcBnoRQB9MQ6THpVjdLJuPnOZJGx1J9PSpFuLc28KsqSwoMDptLeg9TXx5qX/BXXwjD8TvA+kt4d8TWuj+INNv7+/1G+QRR6F9lgMssE4yR5oAwVPTIrZ8Af8Fa/hz8QfCniDWIPD/inS7Xw3b/AG62W+tUiOuW2CTPZgMRIvTnj7w9aAPqxYmW5kjRdu5d29j932xUtpdx+e0nmKzS4VVDfKQO4rwf4o/tq2vw+/ZGl+LA8N67axKsSx6TqcX2e9/ezLEGZeePm3fSvNvG/wDwVb8I/DLXrfSbjw94z1ubTZotPv7zSNNSa0gu3YKsLPuG13YhQMckigD7Kn1KOBlHr69/p61YByK+RT/wUz0G+svBPiD+ytZs7HxZ4kHhBtH1GBYdR02+eRkjeVMnah2Mc5zjHFfXS/d560AFFFFABUc0XmleFO3nkVJSMCSKAKVzZfayVzJHwRlTiobrR5by8VmZFiRMDC/vA3ru9PatSg0AUZ9NyytsjwDuOF+bP1qGx0P7PfTXEj7pbjjgcIPQVpAbT65/SlBz2oAUDApAME0tFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUjNtFAC0VC14qR7j8qr1J4xUwO4ZoAKKKKACiiigAooooAKD0ooPSgD5n/AGxPgP4+8YfE/wAF+L/hfeeGbfxF4YnaSWDXvM+zSQFHU4KDO7LDvXmq/wDBOzxLc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)
Initial 32P activity(dpm/g of S):磷32的初始放射性(每分鍾衰減/硫克數);Distance from hypocenter(m):離爆炸中心距離(米);32P data(RIKEN):磷32數據(日本理化學研究所);
32P data(Kyoto):磷32數據(京都大學);Original DS02 calculation:最初的DS02計算;Fit to DS02 calculation:與DS02計算的擬合;Fit of DS02 model to data:DS02模型與數據的擬合;
Unconstrained fit to data:無約束數據擬合。
Fitted parameter values:擬合參數值;Carve:曲線;α(dpm):阿爾法(衰減每分鍾);H(m):高(米);L(m ):長(米)。
檢測值如DS02報告中【87】的表格所列。最初的DS02 計算根據報告(第654頁)中的圖表進行了數字化,與方程式6.1的數值擬合幾乎完全一致,因此大部分被其隱藏起來了。DS02模型與實驗數據的擬合是通過僅僅改變α來實現的,而在無約束擬合中,算法允許改變所有三個參數。
顯然,我們這個簡單的方程式非常接近DS02計算。因此我們在自己進行數據分析時可以用這個方程式代替DS02 計算。特別是我們可以詢問楊和克爾【87】給出的DS02 計算是否為了最好地擬合檢測值而進行了正確的縮放。為此目的,我們將保持這個由參數H和L確定的模式的形狀,僅改變指數前標度因子α,以便最適合檢測硫的放射性。結果這樣得出的3233dpm的值,比DS02報告中匹配的計算圖的(2278dpm)高42% 。我們應該如何看待這一發現?
總的來講,地麵上的硫的放射性應該同中子的總流量成比例的;另一方麵,中子的總流量應該同“炸彈當量”成比例。“炸彈當量”即爆炸所釋放的能量,通常用千噸TNT當量表示。因此最直白地說就是炸彈當量比DS02計算中的假設高42%。DS02計算假設的數值是16千噸;如果我們把它提高42%,就得到22.7千噸。然而楊和克爾聲稱檢測結果表明炸彈當量最大可能是18±2千噸,他們以此支持他們的計算值16千噸。為了完成這一功績,他們耍了兩個花招:
1,他們明確強調,炸彈在起爆的那一刻是與垂直方向傾斜的。由於炸彈呈縱向的長形,兩端有較厚的外殼,假定的傾斜造成中子流量在地麵上並不是旋轉對稱的。通過精心選擇的傾斜角度(15°)和方向,他們把計算和檢測之間的差距收窄到10%左右,而根據我們的分析是42% 。
2,在他們的報告【87】的第656頁上,他們聲明“日本理化學研究所調查隊的硫放射性檢測值可以用於對廣島原子彈能量當量的估計”。當然,這就意味著他們暗地裏舍棄了京都大學團隊的檢測值。正如在圖6.5中可以看到的,後來的這些數值的趨勢是高於日本理化學研究所的數值,它們還有更小的誤差帶;因此他們的排除將顯著降低硫的檢測的加權平均值。在真正的科學工作中,這樣輕鬆愉快的采摘是不允許的。
在以上分析中,我們隻是改變了我們的DS02等效模型的比例,但沒有使它的形狀發生改變。如果我們允許擬合算法調整所有三個參數,使其與檢測數據最佳搭配,結果曲線的形狀就完全變樣了。出乎意料的是參數H完全消失了,(見圖6.5中的表格)這就是說爆炸中心降到了地麵上,與震源中心合並了,磷32的放射性變成了一個與這個歸一的中心距離的直接指數函數。因此,如果允許自由討論,這個數據顯然否定了DS02模型。此外,雖然我們的無約束擬合得到的模型比我們開始用的模型簡單,但它也完全沒有物理上的合理性。如果數據最符合非物理模型,這當然表明它們是編造的。
6.3.3 爆炸的高程與鬆弛長度
在上文我們注意到,DS02報告把廣島炸彈起爆的高程由先前的580米提高到了600米。報告的作者們對此作了如下解釋:【87,第29頁】
兩組快中子檢測值都支持廣島的起爆高程達600米,當量達16千噸。
這段話提到的第二組檢測值涉及金屬銅中形成的鎳63,這個問題將在6.5.2一節中進行討論;現在我們繼續關於硫的研究。
考慮到硫放射性檢測明顯的分散性和它們非常大的假設誤差,表明這樣的數據能夠用20米以內的誤差來確定爆炸高度說法應該引起關注。為了對此進行更嚴格的評價,我們將再次借助對鬆弛長度的估算。在圖6.6A中,根據方程式2.11繪製了與圖6.5中相同的檢測值;繼DS02的報告之後,一個600米的起爆高程被假設了出來。在這種繪圖方式中,誤差估計值的差異程度顯現出奇怪的比例,因此在擬合中對這些誤差的取舍對結果有重大影響。如果我們使用這些誤差值,得到的λ為2196米,與前麵表6.1中引用的一樣;如果我們刪除它們,那結果就是508米。由於這些數值至少是三位數,仍然是241米這個值的兩倍多,而241米是最接近官方的DS02計算的值。
圖6.6 根據廣島硫磺樣品產生的磷32檢測值估算的快中子鬆弛長度。
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A:Activity*s²(dpm*m²):放射性*斜線距離²(衰減每分鍾*米²);Slant distance s(m):斜線距離s(米)。
Fit to 32P data using error weight:用誤差權重擬合磷32數據;Unweighted fit to 32P data:無權重擬合磷32數據;DS02 calculation:DS02 計算值。
B:λ(m):鬆弛長度(米);Burst height(m):起爆高程(米);λ with error:有誤差的鬆弛長度;λ without error:無誤差的鬆弛長度。
A:用圖6.5中相同的數據和DS02的計算值,繪製為斜線距離的函數,假設起爆高程為600米。
B:用λ的最佳值,假設不同的起爆高程。在起爆高程為600米時,在無誤差權重的情況下擬合λ為508米,在有誤差權重的情況下λ為2196米。
在圖6.6B中,假設的起爆高程已經發生了係統性的改變,對每個數值都確定了鬆弛長度的最佳擬合。我們看到λ隨著起爆高程的提高而縮短,但隻有在高程為800米時,在沒有檢測誤差的情況下,或在所設起爆高程超過1200米時用誤差值,才能獲得真實的數值——比如說300米以下。顯然根據數據同時強行設定真實鬆弛長度和起爆高程是失敗的原因之一。如果我們放棄這個要求,隻詢問哪個假設的起爆高程在全球範圍內適用,那麽我們用或不用誤差值所得到的值分別是460米或340米。根據圖6.6B,看得出來λ的值將會非常高。
從以上分析明顯看出,在分析中估算的檢測值誤差的取舍說到底是無關緊要的,因為無論是哪種情況,結果在物理上都是不可信的,並且與DS02報告中提出的主張相矛盾。然而考慮到這些誤差對數值擬合的嚴重影響,還是應該再次強調,不論是日本理化學研究所檢測的原始報告【78,第216頁】,還是京都大學的數據的原始報告【37】,實際上都沒有誤差估計值。這些誤差都是後來才出現的;我沒有發現任何正當的理由要給日本理化學研究所和京都大學的數據分別加上差異幅度很大的估計誤差。
6.3.4 對硫放射性數據的評價
圖6.5 和圖6.6A已經把這件事說清楚了,來自廣島遠離爆炸中心的樣品中磷32的水平相對於在爆炸中心附近采集的樣品來說,高得太多了。這就明確地排除了通過一個核爆炸同時使所有在原位的樣品帶有放射性的可能性。即使一顆原子彈在所聲稱的時間和地點爆炸,它們也不可能變得這樣。因此,這些數據肯定被認為是編造的。
【腳注】
6:電路上的硫磺既有固定性又有絕緣性。【97】
7:事實上,原田泰一博士告訴我,杉本和山崎分別於1966年和1981年去世,這說明他們的貢獻不可能是最近的。
8:在1981年的會議上,洛伊作了如下說明【88,第51頁】:“我無法在我可以進行計算的團隊中獲得硫的數據(在固定的幾何體中每分鍾的計數[那將有可能計算每分鍾的衰減])------我想直接的數據存在於某個地方------”在場的其他專家沒有人提供進一步的資料。因此我們非常驚訝地發現,這些數據一直既被用作靜電讀數,又被用作每分鍾衰減率。
9:你在前麵可能注意到了,給出的爆炸海拔高度是580米。這的確是被經常引用的數值,是根據據稱是爆炸閃光在石頭上投下的陰影確定的。【84】然而在DS02中,爆炸中心高度被“修正”為600米;關於這個問題,更多內容見下文。
10:這本書中顯示的所有繪圖均是使用自由軟件程序Gnuplot編製的;數值擬合是用Gnuplot的內置擬合常規程序或LibreOffice的結算器工具進行的。
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