- •1. ОБЯЗАТЕЛЬНЫЙ МИНИМУМ СОДЕРЖАНИЯ ДИСЦИПЛИНЫ ПО ГОС ВПО
- •2. ПОЯСНИТЕЛЬНАЯ ЗАПИСКА
- •3.СОДЕРЖАНИЕ ПРОГРАММЫ
- •4. УЧЕБНО-МЕТОДИЧЕСКОЕ ОБЕСПЕЧЕНИЕ ДИСЦИПЛИНЫ
- •5. ТЕМАТИЧЕСКИЙ РАСЧЕТ ЧАСОВ
- •Дисконтные множители аннуитета
- •Порядковые номера дней в не високосном году
- •Порядковые номера дней в високосном году
- •Множители наращения по сложным процентам
- •Множители наращения аннуитета
Порядковые номера дней в не високосном году
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День |
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Месяц |
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Ян- |
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Фев- |
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Март |
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Ап- |
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Май |
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Июнь |
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Июль |
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Ав- |
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Сен- |
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Ок- |
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Но- |
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Де- |
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варь |
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раль |
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рель |
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густ |
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тябрь |
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тябрь |
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ябрь |
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кабрь |
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1 |
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1 |
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32 |
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60 |
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91 |
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121 |
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152 |
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182 |
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213 |
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244 |
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274 |
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305 |
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335 |
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2 |
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2 |
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33 |
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61 |
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92 |
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122 |
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153 |
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183 |
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214 |
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245 |
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275 |
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306 |
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336 |
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3 |
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3 |
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34 |
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62 |
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93 |
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123 |
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154 |
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184 |
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215 |
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246 |
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276 |
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307 |
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337 |
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4 |
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35 |
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63 |
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94 |
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124 |
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155 |
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185 |
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216 |
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247 |
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277 |
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308 |
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338 |
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5 |
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36 |
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64 |
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95 |
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125 |
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38 |
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127 |
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8 |
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39 |
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67 |
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98 |
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128 |
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159 |
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189 |
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281 |
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312 |
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342 |
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40 |
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68 |
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99 |
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129 |
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10 |
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11 |
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42 |
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70 |
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315 |
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43 |
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71 |
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102 |
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285 |
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316 |
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346 |
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72 |
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256 |
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286 |
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317 |
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347 |
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287 |
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15 |
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46 |
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74 |
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105 |
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135 |
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166 |
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196 |
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227 |
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258 |
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288 |
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319 |
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349 |
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47 |
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75 |
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106 |
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167 |
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197 |
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228 |
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259 |
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289 |
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48 |
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76 |
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107 |
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137 |
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168 |
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198 |
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229 |
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260 |
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290 |
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321 |
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351 |
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49 |
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77 |
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108 |
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138 |
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230 |
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261 |
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291 |
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50 |
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78 |
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109 |
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139 |
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170 |
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200 |
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231 |
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262 |
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292 |
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323 |
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353 |
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20 |
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20 |
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51 |
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79 |
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110 |
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140 |
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171 |
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201 |
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232 |
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263 |
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293 |
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324 |
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354 |
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21 |
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21 |
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52 |
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80 |
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111 |
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141 |
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172 |
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202 |
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233 |
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264 |
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294 |
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325 |
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355 |
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22 |
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22 |
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53 |
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81 |
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112 |
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142 |
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173 |
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203 |
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234 |
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265 |
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295 |
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326 |
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356 |
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23 |
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23 |
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54 |
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82 |
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113 |
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143 |
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174 |
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204 |
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235 |
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266 |
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296 |
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327 |
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357 |
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24 |
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24 |
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55 |
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83 |
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114 |
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144 |
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175 |
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205 |
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236 |
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267 |
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297 |
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328 |
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358 |
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25 |
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25 |
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56 |
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84 |
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115 |
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145 |
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176 |
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206 |
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237 |
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268 |
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298 |
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329 |
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359 |
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26 |
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26 |
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57 |
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85 |
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116 |
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146 |
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177 |
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207 |
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238 |
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269 |
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299 |
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330 |
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360 |
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27 |
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27 |
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58 |
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86 |
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117 |
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147 |
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178 |
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208 |
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239 |
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270 |
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300 |
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331 |
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361 |
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28 |
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28 |
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59 |
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87 |
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118 |
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148 |
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179 |
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209 |
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240 |
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271 |
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301 |
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332 |
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362 |
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29 |
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29 |
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88 |
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119 |
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149 |
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180 |
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210 |
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241 |
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272 |
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302 |
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333 |
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363 |
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30 |
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30 |
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89 |
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120 |
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150 |
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181 |
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211 |
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242 |
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273 |
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303 |
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334 |
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364 |
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31 |
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31 |
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90 |
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151 |
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212 |
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243 |
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304 |
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365 |
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Порядковые номера дней в високосном году
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День |
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Месяц |
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Ян- |
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Фев- |
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Март |
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Ап- |
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Май |
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Июнь |
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Июль |
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Ав- |
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Сен- |
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Ок- |
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Но- |
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Де- |
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варь |
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раль |
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рель |
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густ |
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тябрь |
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тябрь |
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ябрь |
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кабрь |
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1 |
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1 |
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32 |
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61 |
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92 |
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122 |
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153 |
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183 |
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214 |
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245 |
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275 |
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306 |
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336 |
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2 |
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2 |
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33 |
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62 |
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93 |
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123 |
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154 |
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184 |
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215 |
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246 |
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276 |
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307 |
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337 |
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3 |
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3 |
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34 |
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63 |
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94 |
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124 |
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155 |
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185 |
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216 |
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247 |
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277 |
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308 |
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338 |
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4 |
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4 |
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35 |
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64 |
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95 |
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125 |
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156 |
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186 |
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217 |
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248 |
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278 |
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309 |
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339 |
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5 |
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5 |
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36 |
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65 |
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96 |
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126 |
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157 |
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187 |
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217 |
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249 |
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279 |
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310 |
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340 |
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6 |
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37 |
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66 |
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97 |
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127 |
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158 |
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38 |
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67 |
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98 |
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128 |
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159 |
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189 |
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251 |
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281 |
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312 |
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8 |
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8 |
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39 |
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68 |
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99 |
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129 |
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160 |
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190 |
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221 |
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252 |
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282 |
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313 |
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343 |
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9 |
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9 |
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40 |
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69 |
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100 |
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130 |
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161 |
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191 |
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222 |
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10 |
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41 |
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70 |
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101 |
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11 |
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11 |
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42 |
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71 |
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102 |
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132 |
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163 |
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193 |
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255 |
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285 |
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316 |
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12 |
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43 |
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72 |
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103 |
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133 |
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164 |
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194 |
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213 |
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256 |
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286 |
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317 |
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13 |
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44 |
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73 |
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104 |
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165 |
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195 |
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226 |
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257 |
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287 |
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318 |
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348 |
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14 |
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45 |
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74 |
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105 |
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135 |
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166 |
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196 |
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227 |
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258 |
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288 |
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319 |
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349 |
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15 |
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46 |
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75 |
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106 |
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136 |
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167 |
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197 |
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228 |
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259 |
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289 |
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320 |
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16 |
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47 |
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76 |
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107 |
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137 |
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168 |
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198 |
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229 |
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260 |
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290 |
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321 |
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351 |
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17 |
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48 |
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77 |
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108 |
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138 |
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169 |
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199 |
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230 |
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261 |
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291 |
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322 |
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352 |
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18 |
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49 |
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78 |
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109 |
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139 |
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170 |
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200 |
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231 |
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262 |
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292 |
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323 |
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353 |
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19 |
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50 |
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79 |
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110 |
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140 |
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171 |
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201 |
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232 |
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263 |
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293 |
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324 |
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20 |
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51 |
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111 |
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141 |
|
172 |
|
202 |
|
233 |
|
264 |
|
294 |
|
325 |
|
355 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
21 |
|
21 |
|
52 |
|
81 |
|
112 |
|
142 |
|
173 |
|
203 |
|
234 |
|
265 |
|
295 |
|
326 |
|
356 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
22 |
|
22 |
|
53 |
|
82 |
|
113 |
|
143 |
|
174 |
|
204 |
|
235 |
|
266 |
|
296 |
|
327 |
|
357 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
23 |
|
23 |
|
54 |
|
83 |
|
114 |
|
144 |
|
175 |
|
205 |
|
236 |
|
267 |
|
297 |
|
328 |
|
358 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
24 |
|
24 |
|
55 |
|
84 |
|
115 |
|
145 |
|
176 |
|
206 |
|
237 |
|
268 |
|
298 |
|
329 |
|
359 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
25 |
|
25 |
|
56 |
|
85 |
|
116 |
|
146 |
|
177 |
|
207 |
|
238 |
|
269 |
|
299 |
|
330 |
|
360 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
26 |
|
26 |
|
57 |
|
86 |
|
117 |
|
147 |
|
178 |
|
208 |
|
239 |
|
270 |
|
300 |
|
331 |
|
361 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
27 |
|
27 |
|
58 |
|
87 |
|
118 |
|
148 |
|
179 |
|
209 |
|
240 |
|
271 |
|
301 |
|
332 |
|
362 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
28 |
|
28 |
|
59 |
|
88 |
|
119 |
|
149 |
|
180 |
|
210 |
|
241 |
|
272 |
|
302 |
|
333 |
|
363 |
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
29 |
|
29 |
|
60 |
|
89 |
|
120 |
|
150 |
|
181 |
|
211 |
|
242 |
|
273 |
|
303 |
|
334 |
|
364 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
30 |
|
30 |
|
|
|
90 |
|
121 |
|
151 |
|
182 |
|
212 |
|
243 |
|
274 |
|
304 |
|
335 |
|
365 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||
31 |
|
31 |
|
|
|
91 |
|
|
|
152 |
|
|
|
213 |
|
244 |
|
|
|
305 |
|
|
|
366 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
43
Множители наращения по сложным процентам
Число |
|
|
|
|
|
|
|
|
|
Ставка процентов за период |
|
|
|
|
|
|
||||||
периодов |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1,00% |
|
2,00% |
|
3,00% |
|
4,00% |
|
5,00% |
|
10,00% |
|
15,00% |
|
20,00% |
|
25,00% |
|
30,00% |
|
40,00% |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
1,0100 |
|
1,0200 |
|
1,0300 |
|
1,0400 |
|
1,05 |
|
1,1 |
|
1,15 |
|
1,2 |
|
1,25 |
|
1,3 |
|
1,4 |
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
2 |
|
1,0201 |
|
1,0404 |
|
1,0609 |
|
1,0816 |
|
1,1025 |
|
1,21 |
|
1,3225 |
|
1,44 |
|
1,5625 |
|
1,69 |
|
1,96 |
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
3 |
|
1,0303 |
|
1,0612 |
|
1,0927 |
|
1,1249 |
|
1,157625 |
|
1,331 |
|
1,520875 |
|
1,728 |
|
1,953125 |
|
2,197 |
|
2,744 |
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
4 |
|
1,0406 |
|
1,0824 |
|
1,1255 |
|
1,1699 |
|
1,215506 |
|
1,4641 |
|
1,749006 |
|
2,0736 |
|
2,441406 |
|
2,8561 |
|
3,8416 |
5
1,0510
1,1041 
1,1593 
1,2167
1,276282
1,61051 
2,011357
2,48832 
3,051758
3,71293 
5,37824
6
1,0615
1,1262 
1,1941 
1,2653
1,340096
1,771561
2,313061
2,985984
3,814697
4,826809
7,529536
7 |
|
1,0721 |
|
1,1487 |
|
1,2299 |
|
1,3159 |
|
1,4071 |
|
1,948717 |
|
2,66002 |
|
3,583181 |
|
4,768372 |
|
6,274852 |
|
10,54135 |
8
1,0829
1,1717 
1,2668 
1,3686
1,477455
2,143589
3,059023
4,299817
5,960464
8,157307
14,75789
9
1,0937
1,1951 
1,3048 
1,4233
1,551328
2,357948
3,517876
5,15978 
7,450581
10,6045 
20,66105
10
1,1046
1,2190 
1,3439 
1,4802
1,628895
2,593742
4,045558
6,191736
9,313226
13,78585
28,92547
11
1,1157
1,2434 
1,3842 
1,5395
1,710339
2,853117
4,652391
7,430084
11,64153
17,9216 
40,49565
12
1,1268
1,2682 
1,4258 
1,6010
1,795856
3,138428
5,35025 
8,9161 
14,55192
23,29809
56,69391
13
1,1381
1,2936 
1,4685 
1,6651
1,885649
3,452271
6,152788
10,69932
18,18989
30,28751
79,37148
14
1,1495
1,3195 
1,5126 
1,7317
1,979932
3,797498
7,075706
12,83918
22,73737
39,37376
111,1201
15
1,1610
1,3459 
1,5580 
1,8009
2,078928
4,177248
8,137062
15,40702
28,42171
51,18589
155,5681
16
1,1726
1,3728 
1,6047 
1,8730
2,182875
4,594973
9,357621
18,48843
35,52714
66,54166
217,7953
17
1,1843
1,4002 
1,6528 
1,9479
2,292018
5,05447 
10,76126
22,18611
44,40892
86,50416
304,9135
18
1,1961
1,4282 
1,7024 
2,0258
2,406619
5,559917
12,37545
26,62333
55,51115
112,4554
426,8789
19
1,2081
1,4568 
1,7535 
2,1068
2,52695 
6,115909
14,23177
31,948 
69,38894
146,192 
597,6304
20
1,2202
1,4859 
1,8061 
2,1911
2,653298
6,7275 
16,36654
38,3376 
86,73617
190,0496
836,6826
21
1,2324
1,5157 
1,8603 
2,2788
2,785963
7,40025 
18,82152
46,00512
108,4202
247,0645
1171,356
22
1,2447
1,5460 
1,9161 
2,3699
2,925261
8,140275
21,64475
55,20614
135,5253
321,1839
1639,898
23
1,2572
1,5769 
1,9736 
2,4647
3,071524
8,954302
24,89146
66,24737
169,4066
417,5391
2295,857
24
1,2697
1,6084 
2,0328 
2,5633
3,2251 
9,849733
28,62518
79,49685
211,7582
542,8008
3214,2
25
1,2824
1,6406 
2,0938 
2,6658
3,386355
10,83471
32,91895
95,39622
264,6978
705,641 
4499,88
Множители дисконтирования по сложным процентам
Число |
|
|
|
|
Ставка процентов за период |
|
|
|
||||||
периодов |
|
|
|
|
|
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5,00% |
|
10,00% |
|
15,00% |
|
20,00% |
|
25,00% |
|
30,00% |
|
40,00% |
|
|
|
|
|
|
|
|
|
||||||
1 |
|
0,952381 |
|
0,909091 |
|
0,869565 |
|
0,833333 |
|
0,8 |
|
0,769231 |
|
0,714286 |
|
|
|
|
|
|
|
|
|
||||||
2 |
|
0,907029 |
|
0,826446 |
|
0,756144 |
|
0,694444 |
|
0,64 |
|
0,591716 |
|
0,510204 |
|
|
|
|
|
|
|
|
|
||||||
3 |
|
0,863838 |
|
0,751315 |
|
0,657516 |
|
0,578704 |
|
0,512 |
|
0,455166 |
|
0,364431 |
4
0,822702
0,683013
0,571753
0,482253
0,4096 
0,350128
0,260308
5
0,783526
0,620921
0,497177
0,401878
0,32768 
0,269329
0,185934
6
0,746215
0,564474
0,432328
0,334898
0,262144
0,207176
0,13281
7
0,710681
0,513158
0,375937
0,279082
0,209715
0,159366
0,094865
8
0,676839
0,466507
0,326902
0,232568
0,167772
0,122589
0,06776
9
0,644609
0,424098
0,284262
0,193807
0,134218
0,0943 
0,0484
10
0,613913
0,385543
0,247185
0,161506
0,107374
0,072538
0,034572
11
0,584679
0,350494
0,214943
0,134588
0,085899
0,055799
0,024694
12
0,556837
0,318631
0,186907
0,112157
0,068719
0,042922
0,017639
13
0,530321
0,289664
0,162528
0,093464
0,054976
0,033017
0,012599
14
0,505068
0,263331
0,141329
0,077887
0,04398 
0,025398
0,008999
15
0,481017
0,239392
0,122894
0,064905
0,035184
0,019537
0,006428
16
0,458112
0,217629
0,106865
0,054088
0,028147
0,015028
0,004591
17
0,436297
0,197845
0,092926
0,045073
0,022518
0,01156 
0,00328
18
0,415521
0,179859
0,080805
0,037561
0,018014
0,008892
0,002343
19
0,395734
0,163508
0,070265
0,031301
0,014412
0,00684 
0,001673
20
0,376889
0,148644
0,0611 
0,026084
0,011529
0,005262
0,001195
21
0,358942
0,135131
0,053131
0,021737
0,009223
0,004048
0,000854
22
0,34185 
0,122846
0,046201
0,018114
0,007379
0,003113
0,00061
23
0,325571
0,111678
0,040174
0,015095
0,005903
0,002395
0,000436
24
0,310068
0,101526
0,034934
0,012579
0,004722
0,001842
0,000311
25
0,295303
0,092296
0,030378
0,010483
0,003778
0,001417
0,000222
44
Множители наращения аннуитета
Число |
|
|
|
|
Ставка процентов за период |
|
|
|
||||||||
периодов |
|
|
|
|
|
|
|
|||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5,00% |
|
10,00% |
|
|
15,00% |
|
20,00% |
|
25,00% |
|
|
30,00% |
|
40,00% |
|
|
|
|
|
|
|
|
|
|
|||||||
1 |
|
1 |
|
1 |
|
|
1 |
|
1 |
|
1 |
|
|
1 |
|
1 |
|
|
|
|
|
|
|
|
|
|
|||||||
2 |
|
2,05 |
|
2,1 |
|
|
2,15 |
|
2,2 |
|
2,25 |
|
|
2,3 |
|
2,4 |
|
|
|
|
|
|
|
|
|
|
|||||||
3 |
|
3,1525 |
|
3,31 |
|
|
3,4725 |
|
3,64 |
|
3,8125 |
|
|
3,99 |
|
4,36 |
|
|
|
|
|
|
|
|
|
|
|||||||
4 |
|
4,310125 |
|
4,641 |
|
|
4,993375 |
|
5,368 |
|
5,765625 |
|
|
6,187 |
|
7,104 |
|
|
|
|
|
|
|
|
|
|
|||||||
5 |
|
5,525631 |
|
6,1051 |
|
|
6,742381 |
|
7,4416 |
|
8,207031 |
|
|
9,0431 |
|
10,9456 |
6
6,801913
7,71561 
8,753738
9,92992 
11,25879
12,75603
16,32384
7
8,142008
9,487171
11,0668 
12,9159 
15,07349
17,58284
23,85338
8
9,549109
11,43589
13,72682
16,49908
19,84186
23,85769
34,39473
9
11,02656
13,57948
16,78584
20,7989 
25,80232
32,015 
49,15262
10
12,57789
15,93742
20,30372
25,95868
33,2529 
42,6195 
69,81366
11
14,20679
18,53117
24,34928
32,15042
42,56613
56,40535
98,73913
12
15,91713
21,38428
29,00167
39,5805 
54,20766
74,32695
139,2348
13
17,71298
24,52271
34,35192
48,4966 
68,75958
97,62504
195,9287
14
19,59863
27,97498
40,50471
59,19592
86,94947
127,9125
275,3002
15
21,57856
31,77248
47,58041
72,03511
109,6868
167,2863
386,4202
16
23,65749
35,94973
55,71747
87,44213
138,1085
218,4722
541,9883
17
25,84037
40,5447 
65,07509
105,9306
173,6357
285,0139
759,7837
18
28,13238
45,59917
75,83636
128,1167
218,0446
371,518 
1064,697
19
30,539 
51,15909
88,21181
154,74 
273,5558
483,9734
1491,576
20
33,06595
57,275 
102,4436
186,688 
342,9447
630,1655
2089,206
21
35,71925
64,0025 
118,8101
225,0256
429,6809
820,2151
2925,889
22
38,50521
71,40275
137,6316
271,0307
538,1011
1067,28 
4097,245
23
41,43048
79,54302
159,2764
326,2369
673,6264
1388,464
5737,142
24
44,502 
88,49733
184,1678
392,4842
843,0329
1806,003
8032,999
25
47,7271 
98,34706
212,793 
471,9811
1054,791
2348,803
11247,2
Дисконтные множители аннуитета
|
Число |
|
|
|
|
Ставка процентов за период |
|
|
|
||||||
|
периодов |
|
|
|
|
|
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5,00% |
|
10,00% |
|
15,00% |
|
20,00% |
|
25,00% |
|
30,00% |
|
40,00% |
|
1 |
|
|
|
|
|
|
|
|
||||||
|
|
0,952381 |
|
0,909091 |
|
0,869565 |
|
0,833333 |
|
0,8 |
|
0,769231 |
|
0,714286 |
|
|
2 |
|
|
|
|
|
|
|
|
||||||
|
|
1,85941 |
|
1,735537 |
|
1,625709 |
|
1,527778 |
|
1,44 |
|
1,360947 |
|
1,22449 |
|
|
3 |
|
|
|
|
|
|
|
|
||||||
|
|
2,723248 |
|
2,486852 |
|
2,283225 |
|
2,106481 |
|
1,952 |
|
1,816113 |
|
1,588921 |
|
4
3,545951
3,169865
2,854978
2,588735
2,3616 
2,166241
1,849229
5
4,329477
3,790787
3,352155
2,990612
2,68928 
2,43557 
2,035164
6
5,075692
4,355261
3,784483
3,32551 
2,951424
2,642746
2,167974
7
5,786373
4,868419
4,16042 
3,604592
3,161139
2,802112
2,262839
8
6,463213
5,334926
4,487322
3,83716 
3,328911
2,924702
2,330599
9
7,107822
5,759024
4,771584
4,030967
3,463129
3,019001
2,378999
10
7,721735
6,144567
5,018769
4,192472
3,570503
3,091539
2,413571
11
8,306414
6,495061
5,233712
4,32706 
3,656403
3,147338
2,438265
12
8,863252
6,813692
5,420619
4,439217
3,725122
3,19026 
2,455904
13
9,393573
7,103356
5,583147
4,532681
3,780098
3,223277
2,468503
14
9,898641
7,366687
5,724476
4,610567
3,824078
3,248675
2,477502
15
10,37966
7,60608 
5,84737 
4,675473
3,859263
3,268211
2,48393
16
10,83777
7,823709
5,954235
4,729561
3,88741 
3,283239
2,488521
17
11,27407
8,021553
6,047161
4,774634
3,909928
3,2948 
2,491801
18
11,68959
8,201412
6,127966
4,812195
3,927942
3,303692
2,494144
19
12,08532
8,36492 
6,198231
4,843496
3,942354
3,310532
2,495817
20
12,46221
8,513564
6,259331
4,86958 
3,953883
3,315794
2,497012
21
12,82115
8,648694
6,312462
4,891316
3,963107
3,319842
2,497866
22
13,163 
8,77154 
6,358663
4,90943 
3,970485
3,322955
2,498476
23
13,48857
8,883218
6,398837
4,924525
3,976388
3,32535 
2,498911
24
13,79864
8,984744
6,433771
4,937104
3,981111
3,327192
2,499222
25
14,09394
9,07704 
6,464149
4,947587
3,984888
3,328609
2,499444
45
46
