Проектирование составов бетонных смесей с помощью современных информационных технологий. Монография
.pdfȽɈɋɌ Ȼɟɬɨɧɵ ɥɟɝɤɢɟ Ɍɟɯɧɢɱɟɫɤɢɟ ɭɫɥɨɜɢɹ ² Ɇ Ƚɨɫɫɬɪɨɣ Ɋɨɫɫɢɢ Ƚɍɉ ɐɉɉ ² ɫ
ȽɈɋɌ ɋɦɟɫɢ ɛɟɬɨɧɧɵɟ Ɍɟɯɧɢɱɟɫɤɢɟ ɭɫɥɨɜɢɹ ² Ɇ ɂɉɄ ɂɡɞ ɜɨ ɫɬɚɧɞɚɪɬɨɜ ² ɫ
ȽɈɋɌ Ȼɟɬɨɧɵ ɹɱɟɢɫɬɵɟ Ɍɟɯɧɢɱɟɫɤɢɟ ɭɫɥɨɜɢɹ ² Ɇ ɂɡɞ ɜɨ ɫɬɚɧɞɚɪɬɨɜ ² ɫ
Ƚɨɪɞɨɧ ɋ. ɋ. ɉɪɨɝɧɨɡ ɞɨɥɝɨɜɟɱɧɨɫɬɢ ɠɟɥɟɡɨɛɟɬɨɧɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ
ɋ ɋ Ƚɨɪɞɨɧ Ȼɟɬɨɧ ɢ ɠɟɥɟɡɨɛɟɬɨɧ ² ² ʋ ² ɋȽɪɭɜɟɪ Ɇ. ɋȺɉɊ ɢ ɚɜɬɨɦɚɬɢɡɚɰɢɹ ɩɪɨɢɡɜɨɞɫɬɜɚ ɩɟɪ ɫ ɚɧɝɥ Ɇ
Ƚɪɭɜɟɪ ɗ Ɂɢɦɦɟɪɫ ² Ɇ Ɇɢɪ ² ɫȽɭɫɟɜ Ȼ. ȼ. Ȼɟɬɨɧ ɢ ɠɟɥɟɡɨɛɟɬɨɧ ɫɩɪɚɜɨɱɧɢɤɢ Ȼ ȼ Ƚɭɫɟɜ ² Ɇ
ɋɬɪɨɣɢɡɞɚɬ ² ɫȾɚɧɰɢɝ Ⱦɠ. Ʌɢɧɟɣɧɨɟ ɩɪɨɝɪɚɦɦɢɪɨɜɚɧɢɟ ɟɝɨ ɩɪɢɦɟɧɟɧɢɹ ɢ ɨɛɨɛɳɟ
ɧɢɹ Ⱦɠ Ⱦɚɧɰɢɝ ² Ɇ ɉɪɨɝɪɟɫɫ ² ɫȾɜɨɪɤɢɧ Ʌ. ɂ.Ɉɫɧɨɜɵ ɛɟɬɨɧɨɜɟɞɟɧɢɹ Ʌ ɂ Ⱦɜɨɪɤɢɧ Ɉ Ʌ Ⱦɜɨɪɤɢɧ ²
ɋɉɛ ɋɬɪɨɣ ɛɟɬɨɧ ² ɫȾɜɨɪɤɢɧ Ʌ. ɂ. Ɉɩɬɢɦɚɥɶɧɨɟ ɩɪɨɟɤɬɢɪɨɜɚɧɢɟ ɫɨɫɬɚɜɨɜ ɛɟɬɨɧɚ
Ʌ ɂ Ⱦɜɨɪɤɢɧ ² Ʌɶɜɨɜ ȼɢɳɚ ɲɤɨɥɚ ² ɫȾɜɨɪɤɢɧ Ʌ. ɂ. ɉɪɨɟɤɬɢɪɨɜɚɧɢɟ ɫɨɫɬɚɜɨɜ ɛɟɬɨɧɚ ɫ ɡɚɞɚɧɧɵɦɢ ɫɜɨɣɫɬɜɚ
ɦɢ Ʌ ɂ Ⱦɜɨɪɤɢɧ Ɉ Ʌ Ⱦɜɨɪɤɢɧ ² Ɋɨɜɧɨ ɊȽɌɍ ² ɫȾɠɨɧɫɨɧ ɇ.ɋɬɚɬɢɫɬɢɤɚ ɢ ɩɥɚɧɢɪɨɜɚɧɢɟ ɷɤɫɩɟɪɢɦɟɧɬɚ ɜ ɬɟɯɧɢɤɟ ɢ ɧɚɭ
ɤɟ ɇ Ⱦɠɨɧɫɨɧ Ɏ Ʌɢɨɧ ² Ɇ Ɇɢɪ ² Ɍ ² ɫȾɠɨɧɫɨɧ ɇ. ɋɬɚɬɢɫɬɢɤɚ ɢ ɩɥɚɧɢɪɨɜɚɧɢɟ ɷɤɫɩɟɪɢɦɟɧɬɚ ɜ ɬɟɯɧɢɤɟ
ɢ ɧɚɭɤɟ Ɇɟɬɨɞɵ ɩɥɚɧɢɪɨɜɚɧɢɹ ɷɤɫɩɟɪɢɦɟɧɬɚ ɇ Ⱦɠɨɧɫɨɧ Ɏ Ʌɢɨɧ ² Ɇ Ɇɢɪ ² ɫ
Ⱦɦɢɬɪɟɧɤɨ ȿ. ɇ. ɂɫɩɨɥɶɡɨɜɚɧɢɟ ɚɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɝɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ
ɞɥɹ ɨɩɬɢɦɢɡɚɰɢɢ ɫɨɫɬɚɜɨɜ ɤɨɦɩɨɡɢɰɢɨɧɧɵɯ ɦɚɬɟɪɢɚɥɨɜ ɬɟɡ ɞɨɤɥ Ɇɟɠɞɭɧɚɪ
ɧɚɭɱ ɬɟɯɧ ɤɨɧɮ ² Ɉɦɫɤ ɈɦȽɌɍ ² ɋȾɨɜɠɢɤ ȼ. Ƚ. ɇɚɡɧɚɱɟɧɢɟ ɫɨɫɬɚɜɨɜ ɜɵɫɨɤɨɩɪɨɱɧɵɯ ɤɟɪɚɦɡɢɬɨɛɟɬɨɧɨɜ
ɐɟɧɬɪɚɥɶɧɨɟ ɛɸɪɨ ɬɟɯɧɢɱɟɫɤɨɣ ɩɨɦɨɳɢ ȼ Ƚ Ⱦɨɜɠɢɤ ȼ Ⱥ Ⱦɨɪɮ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
Ⱦɨɜɠɢɤ ȼ .Ƚ.Ɍɟɯɧɨɥɨɝɢɹ ɜɵɫɨɤɨɩɪɨɱɧɨɝɨ ɤɟɪɚɦɡɢɬɨɛɟɬɨɧɚ ȼ Ƚ Ⱦɨɜ
ɠɢɤ ȼ Ⱥ Ⱦɨɪɮ ȼ ɉ ɉɟɬɪɨɜ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫȾɨɪɮ ȼ. Ⱥ. ɂɫɫɥɟɞɨɜɚɧɢɟ ɩɪɨɱɧɨɫɬɢ ɢ ɞɟɮɨɪɦɚɬɢɜɧɨɫɬɢ ɤɟɪɚɦɡɢɬɚ
ɜ ɛɟɬɨɧɟ ȼ Ⱥ Ⱦɨɪɮ ɂɫɫɥɟɞɨɜɚɧɢɹ ɩɨ ɬɟɯɧɨɥɨɝɢɢ ɫɛɨɪɧɨɝɨ ɠɟɥɟɡɨɛɟɬɨɧɚ ɫɛ ȼɇɂɂɀɟɥɟɡɨɛɟɬɨɧɚ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
ȿɪɟɦɢɧ ɂ. ɂ. Ɍɟɨɪɢɹ ɥɢɧɟɣɧɨɣ ɨɩɬɢɦɢɡɚɰɢɢ ɂ ɂ ȿɪɟɦɢɧ ² ȿɤɚɬɟ
ɪɢɧɛɭɪɝ ɂɡɞ ɜɨ ȿɤɚɬɟɪɢɧɛɭɪɝ ² ɫɂɜɚɧɨɜ ɂ. Ⱥ.Ɍɟɯɧɨɥɨɝɢɹ ɥɟɝɤɢɯ ɛɟɬɨɧɨɜ ɧɚ ɢɫɤɭɫɫɬɜɟɧɧɵɯ ɩɨɪɢɫɬɵɯ ɡɚ
ɩɨɥɧɢɬɟɥɹɯ ɭɱɟɛ ɩɨɫɨɛɢɟ ɞɥɹ ɜɭɡɨɜ ɂ Ⱥ ɂɜɚɧɨɜ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ²
ɫ ɂɰɤɨɜɢɱ ɋ. Ɇ. Ɍɟɯɧɨɥɨɝɢɹ ɡɚɩɨɥɧɢɬɟɥɟɣ ɛɟɬɨɧɚ ɋ Ɇ ɂɰɤɨɜɢɱ
Ʌ Ⱦ ɑɭɦɚɤɨɜ ɘ Ɇ Ȼɚɠɟɧɨɜ ² Ɇ ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫɄɚɫɬɨɪɧɵɯ Ʌ. ɂ.Ⱦɨɛɚɜɤɢ ɜ ɛɟɬɨɧɵ ɢ ɫɬɪɨɢɬɟɥɶɧɵɟ ɪɚɫɬɜɨɪɵ ɭɱɟɛɧɨ
ɫɩɪɚɜɨɱɧɨɟ ɩɨɫɨɛɢɟ Ʌ ɂ Ʉɚɫɬɨɪɧɵɯ ² Ɋɨɫɬɨɜ ɧ Ⱦ Ɏɟɧɢɤɫ ² ɫ
Ʉɚɥɢɯɦɚɧ ɂ. Ʌ.ɋɛɨɪɧɢɤ ɡɚɞɚɱ ɩɨ ɦɚɬɟɦɚɬɢɱɟɫɤɨɦɭ ɩɪɨɝɪɚɦɦɢɪɨɜɚɧɢɸ
ɂ Ʌ Ʉɚɥɢɯɦɚɧ ² Ɇ ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫɄɚɮɚɪɨɜ ȼ. ȼ. Ɉɫɧɨɜɵ ɚɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɝɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɯɢɦɢɱɟ
ɫɤɢɯ ɩɪɨɢɡɜɨɞɫɬɜ ȼ ȼ Ʉɚɮɚɪɨɜ ȼ ɇ ȼɟɬɨɯɢɧ ² Ɇ ɇɚɭɤɚ ² ɫɄɨɪɨɥɟɜ ɂ. ȼ.ɉɭɬɢ ɷɤɨɧɨɦɢɢ ɰɟɦɟɧɬɚ ɂ ȼ Ʉɨɪɨɥɟɜ ² Ɇ Ɍɪɚɧɫɩɨɪɬ
² ɫɄɨɦɢɫɚɪɟɧɤɨ Ȼ. ɋ. Ʉɟɪɚɦɡɢɬ ɢ ɤɟɪɚɦɡɢɬɨɛɟɬɨɧ Ȼ ɋ Ʉɨɦɢɫɚɪɟɧɤɨ
Ⱥ Ƚ ɑɢɤɧɨɜɨɪɶɹɧ ² Ɇ Ⱥɋȼ ² ɫɄɨɪɹɱɤɨ ȼ. ɉ. Ɍɟɨɪɟɬɢɱɟɫɤɢɟ ɨɫɧɨɜɵ ɋȺɉɊ ɭɱɟɛɧɢɤ ɞɥɹ ɜɭɡɨɜ
ȼ ɉ Ʉɨɪɹɱɤɨ ȼ Ɇ Ʉɭɪɟɣɱɢɤ ɂ ɉ ɇɨɪɟɧɤɨɜ ² Ɇ ɗɧɟɪɝɨɚɬɨɦɢɡɞɚɬ ² ɫ
Ʉɪɚɫɨɜɫɤɢɣ Ƚ. ɂ. ɉɥɚɧɢɪɨɜɚɧɢɟ ɷɤɫɩɟɪɢɦɟɧɬɚ Ƚ ɂ Ʉɪɚɫɨɜɫɤɢɣ
Ƚ Ɏ Ɏɢɥɚɪɟɬɨɜ ² Ɇɢɧɫɤ ɂɡɞ ɜɨ ȻȽɍ ² ɫɄɭɞɹɤɨɜ Ⱥ. ɂ. ɉɪɨɟɤɬɢɪɨɜɚɧɢɟ ɧɟɚɜɬɨɤɥɚɜɧɨɝɨ ɩɟɧɨɛɟɬɨɧɚ Ⱥ ɂ Ʉɭ
ɞɹɤɨɜ Ⱦ Ⱥ Ʉɢɫɟɥɟɜ ɋɬɪɨɢɬɟɥɶɧɵɟ ɦɚɬɟɪɢɚɥɵ ² ² ʋ ² ɋɄɨɧɬɪɨɥɶ ɤɚɱɟɫɬɜɚ ɫ ɩɨɦɨɳɶɸ ɩɟɪɫɨɧɚɥɶɧɵɯ ɤɨɦɩɶɸɬɟɪɨɜ Ɍ Ɇɚɤɢɧɨ
Ɇ Ɉɯɚɫɢ ɢ ɞɪ ² Ɇ Ɇɚɲɢɧɨɫɬɪɨɟɧɢɟ ² ɫ
Ʉɭɪɢɰɤɢɣ Ȼ. ə. ɉɨɢɫɤ ɨɩɬɢɦɚɥɶɧɵɯ ɪɟɲɟɧɢɣ ɫɪɟɞɫɬɜɚɦɢ ([FHO
Ȼ ə Ʉɭɪɢɰɤɢɣ ² ɋɉɛ %+9 ɋɚɧɤɬ ɉɟɬɟɪɛɭɪɝ ² ɫɅɶɜɨɜɢɱ Ʉ. ɂ. ɉɟɫɱɚɧɵɣ ɛɟɬɨɧ ɢ ɟɝɨ ɩɪɢɦɟɧɟɧɢɟ ɜ ɫɬɪɨɢɬɟɥɶɫɬɜɟ
Ʉ ɂ Ʌɶɜɨɜɢɱ ² ɋɉɛ ɋɬɪɨɣ ɛɟɬɨɧ ² ɫɆɨɢɫɟɟɜ ɇ. ɇ. Ɇɚɬɟɦɚɬɢɤɚ ɫɬɚɜɢɬ ɷɤɫɩɟɪɢɦɟɧɬ ɇ ɇ Ɇɨɢɫɟɟɜ Ɇ
ɇɚɭɤɚ Ƚɥɚɜɧɚɹ ɪɟɞɚɤɰɢɹ ɮɢɡɢɤɨ ɦɚɬɟɦɚɬɢɱɟɫɤɨɣ ɥɢɬɟɪɚɬɭɪɵ ² ɫɆɚɪɤɨɜɚ ȿ. ȼ.Ʉɨɦɛɢɧɚɬɨɪɧɵɟ ɩɥɚɧɵ ɜ ɡɚɞɚɱɚɯ ɦɧɨɝɨɮɚɤɬɨɪɧɨɝɨ ɷɤɫɩɟ
ɪɢɦɟɧɬɚ ȿ ȼ Ɇɚɪɤɨɜɚ Ⱥ ɇ Ʌɢɫɟɧɤɨɜ ² Ɇ ɇɚɭɤɚ ² ɫɆɢɪɨɧɨɜ ɋ. Ⱥ.Ȼɟɬɨɧɵ ɚɜɬɨɤɥɚɜɧɨɝɨ ɬɜɟɪɞɟɧɢɹ ɋ Ⱥ Ɇɢɪɨɧɨɜ ɢ ɞɪ ²
Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɆɨɧɚɯɨɜ ȼ. Ɇ. Ɇɟɬɨɞɵ ɨɩɬɢɦɢɡɚɰɢɢ ɉɪɢɦɟɧɟɧɢɟ ɦɚɬɟɦɚɬɢɱɟɫɤɢɯ ɦɟ
ɬɨɞɨɜ ɜ ɷɤɨɧɨɦɢɤɟ ɩɨɫɨɛɢɟ ɞɥɹ ɭɱɢɬɟɥɟɣ ȼ Ɇ Ɇɨɧɚɯɨɜ ɗ ɋ Ȼɟɥɹɟɜɚ ɇ ə Ʉɪɚɫɧɟɪ ² Ɇ ɉɪɨɫɜɟɳɟɧɢɟ ² ɫ
Ɇɨɧɬɝɨɦɟɪɢ Ⱦ. Ʉ. ɉɥɚɧɢɪɨɜɚɧɢɟ ɷɤɫɩɟɪɢɦɟɧɬɚ ɢ ɚɧɚɥɢɡ ɞɚɧɧɵɯ
Ⱦ Ʉ Ɇɨɧɬɝɨɦɟɪɢ ² Ʌ ɋɭɞɨɫɬɪɨɟɧɢɟ ² ɫɇɚɥɢɦɨɜ ȼ. ȼ ɋɬɚɬɢɫɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɩɥɚɧɢɪɨɜɚɧɢɹ ɷɤɫɬɪɟɦɚɥɶɧɵɯ
ɷɤɫɩɟɪɢɦɟɧɬɨɜ ȼ ȼ ɇɚɥɢɦɨɜ ɇ Ⱥ ɑɟɪɧɨɜɚ ² Ɇ ɇɚɭɤɚ ² ɫɇɨɪɟɧɤɨɜ ɂ. ɉɈɫɧɨɜɵ ɚɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɝɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɭɱɟɛɧɢɤ
ɞɥɹ ɜɭɡɨɜ ɂ ɉ ɇɨɪɟɧɤɨɜ ² Ɇ ɂɡɞ ɜɨ ɆȽɌɍ ɢɦ ɇ ɗ Ȼɚɭɦɚɧɚ ² ɫ
Ɉɧɚɰɤɢɣ ɋ. ɉ. ɉɪɨɢɡɜɨɞɫɬɜɨ ɤɟɪɚɦɡɢɬɚ ɋ ɉ Ɉɧɚɰɤɢɣ ² Ɇ Ƚɨɫ
ɫɬɪɨɣɢɡɞɚɬ ² ɫɈɫɬɪɟɣɤɨɜɫɤɢɣ ȼ. Ⱥ.Ɍɟɨɪɢɹ ɫɢɫɬɟɦ ȼ Ⱥ Ɉɫɬɪɟɣɤɨɜɫɤɢɣ ² Ɇ ȼɵɫ
ɲɚɹ ɲɤɨɥɚ ² ɫɉɨɩɨɜ Ʌ. ɇ. ɋɬɪɨɢɬɟɥɶɧɵɟ ɦɚɬɟɪɢɚɥɵ ɢ ɞɟɬɚɥɢ Ʌ ɇ ɉɨɩɨɜ ² Ɇ
ɋɬɪɨɣɢɡɞɚɬ ² ɫɊɚɬɢɧɨɜ ȼ.Ȼ. Ⱦɨɛɚɜɤɢ ɜ ɛɟɬɨɧ ȼ Ȼ Ɋɚɬɢɧɨɜ Ɍ ɂ Ɋɨɡɟɧɛɟɪɝ ² Ɇ
ɋɬɪɨɣɢɡɞɚɬ ² ɫ
Ɋɭɤɨɜɨɞɫɬɜɨ ɩɨ ɩɨɞɛɨɪɭ ɫɨɫɬɚɜɨɜ ɬɹɠɟɥɨɝɨ ɛɟɬɨɧɚ ɇɂɂ ɛɟɬɨɧɚ ɢ ɠɟɥɟ ɡɨɛɟɬɨɧɚ Ƚɨɫɫɬɪɨɹ ɋɋɋɊ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
Ɋɵɛɶɟɜ ɂ. Ⱥ. ɋɬɪɨɢɬɟɥɶɧɨɟ ɦɚɬɟɪɢɚɥɨɜɟɞɟɧɢɟ ɂ Ⱥ Ɋɵɛɶɟɜ ² Ɇ
ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫɋɚɧɶɤɨɜɚ Ɍ. Ⱥ.ȼɥɢɹɧɢɟ ɪɚɡɥɢɱɧɵɯ ɮɚɤɬɨɪɨɜ ɧɚ ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɜɵɫɨɤɨ
ɩɪɨɱɧɨɝɨ ɛɟɬɨɧɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ ɇɨɜɵɟ ɷɧɟɪɝɨ ɢ ɪɟɫɭɪɫɨɫɛɟɪɟ ɝɚɸɳɢɟ ɧɚɭɤɨɟɦɤɢɟ ɬɟɯɧɨɥɨɝɢɢ ɜ ɩɪɨɢɡɜɨɞɫɬɜɟ ɫɬɪɨɢɬɟɥɶɧɵɯ ɦɚɬɟɪɢɚɥɨɜ ɞɟ ɤɚɛɪɶ ɫɛ ɫɬ Ɇɟɠɞɭɧɚɪɨɞɧɨɣ ɧɚɭɱɧɨ ɬɟɯɧɢɱɟɫɤɨɣ ɤɨɧɮɟɪɟɧɰɢɢ ² ɉɟɧɡɚ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. Ⱥɜɬɨɦɚɬɢɡɚɰɢɹ ɩɪɨɰɟɫɫɚ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɫɨɫɬɚɜɚ ɛɟɬɨɧɚ
Ɍ Ⱥ ɋɚɧɶɤɨɜɚ Ɇɟɠɜɭɡɨɜɫɤɢɣ ɫɛɨɪɧɢɤ ɬɪɭɞɨɜ ɦɨɥɨɞɵɯ ɭɱɟɧɵɯ ɚɫɩɢɪɚɧɬɨɜ ɢ ɫɬɭɞɟɧɬɨɜ ² Ɉɦɫɤ ɋɢɛȺȾɂ ² ȼɵɩ ² ɑ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. ɋɢɫɬɟɦɚ ɚɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɝɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɫɨɫɬɚɜɚ
ɛɟɬɨɧɧɵɯ ɫɦɟɫɟɣ ɪɚɡɥɢɱɧɵɯ ɜɢɞɨɜ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ȼɟɫɬɧɢɤ ɋɢɛɢɪɫɤɨɣ ɝɨɫɭ ɞɚɪɫɬɜɟɧɧɨɣ ɚɜɬɨɦɨɛɢɥɶɧɨ ɞɨɪɨɠɧɨɣ ɚɤɚɞɟɦɢɢ ɋɢɛȺȾɂ Ɇɚɲɢɧɵ ɬɟɯɧɨɥɨ ɝɢɢ ɢ ɩɪɨɰɟɫɫɵ ɜ ɫɬɪɨɢɬɟɥɶɫɬɜɟ ɬɪɭɞɵ Ɇɟɠɞɭɧɚɪɨɞɧɨɝɨ ɤɨɧɝɪɟɫɫɚ ɩɨɫɜɹɳɟɧ ɧɨɝɨ ɥɟɬɢɸ ɮɚɤɭɥɶɬɟɬɚ Ɍɪɚɧɫɩɨɪɬɧɵɟ ɢ ɬɟɯɧɨɥɨɝɢɱɟɫɤɢɟ ɦɚɲɢɧɵ ɞɟ ɤɚɛɪɹ ɝ ² ² ȼɵɩ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. ɉɪɨɛɥɟɦɵ ɚɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɝɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɫɬɪɨɢ
ɬɟɥɶɧɵɯ ɤɨɧɝɥɨɦɟɪɚɬɨɜ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ ȼɟɫɬɧɢɤ ɋɢɛɢɪɫɤɨɣ ɝɨɫɭɞɚɪɫɬɜɟɧɧɨɣ ɚɜɬɨɦɨɛɢɥɶɧɨ ɞɨɪɨɠɧɨɣ ɚɤɚɞɟɦɢɢ ² ² ȼɵɩ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɟ ɪɟɝɭɥɢɪɨɜɚɧɢɟ ɫɜɨɣɫɬɜ ɛɟɬɨɧɚ
Ɍ Ⱥ ɋɚɧɶɤɨɜɚ Ɋɚɡɜɢɬɢɟ ɞɨɪɨɠɧɨ ɬɪɚɧɫɩɨɪɬɧɨɝɨ ɤɨɦɩɥɟɤɫɚ ɢ ɫɬɪɨɢɬɟɥɶɧɨɣ ɢɧɮɪɚɫɬɪɭɤɬɭɪɵ ɧɚ ɨɫɧɨɜɟ ɪɚɰɢɨɧɚɥɶɧɨɝɨ ɩɪɢɪɨɞɨɩɨɥɶɡɨɜɚɧɢɹ ɦɚɬɟɪɢɚɥɵ ,, ȼɫɟɪɨɫɫɢɣɫɤɨɣ ɧɚɭɱɧɨ ɩɪɚɤɬɢɱɟɫɤɨɣ ɤɨɧɮɟɪɟɧɰɢɢ ɫɬɭɞɟɧɬɨɜ ɚɫɩɢɪɚɧɬɨɜ ɢ ɦɨɥɨɞɵɯ ɭɱɟɧɵɯ ɦɚɹ ɝ ² Ɉɦɫɤ ɂɡɞ ɜɨ ɋɢɛȺȾɂ ² Ʉɧɢɝɚ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɟ ɩɪɨɟɤɬɢɪɨɜɚɧɢɟ ɫɨɫɬɚɜɚ ɛɟɬɨɧɚ
Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ Ⱥɤɬɭɚɥɶɧɵɟ ɩɪɨɛɥɟɦɵ ɫɬɪɨɢɬɟɥɶɧɨɣ ɨɬɪɚɫɥɢ ɬɟɡɢɫɵ ɞɨɤɥɚɞɨɜ ɣ ȼɫɟɪɨɫɫɢɣɫɤɨɣ ɧɚɭɱɧɨ ɬɟɯɧɢɱɟɫɤɨɣ ɤɨɧɮɟɪɟɧɰɢɢ ɇȽȺɋɍ ɋɢɛɫɬɪɢɧ ɚɩɪɟɥɹ ɝ ² ɇɨɜɨɫɢɛɢɪɫɤ ɇȽȺɋɍ ɋɢɛɫɬɪɢɧ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. ɋɜɢɞɟɬɟɥɶɫɬɜɨ ɨɛ ɨɬɪɚɫɥɟɜɨɣ ɪɟɝɢɫɬɪɚɰɢɢ ɪɚɡɪɚɛɨɬɤɢ
ʋ ɉɪɨɝɪɚɦɦɚ ɞɥɹ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɫɨɫɬɚɜɨɜ ɛɟɬɨɧɧɵɯ ɫɦɟɫɟɣ 6$3&R0 ɨɬ ɝ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ
ɋɚɪɚɩɢɧ ɂ. Ƚ.ɉɨɞɛɨɪ ɫɨɫɬɚɜɨɜ ɩɥɨɬɧɵɯ ɥɟɝɤɢɯ ɛɟɬɨɧɨɜ ɦɟɬɨɞɨɦ ɨɩɬɢ
ɦɚɥɶɧɵɯ ɫɨɨɬɧɨɲɟɧɢɣ ɐɟɧɬɪɚɥɶɧɨɟ ɛɸɪɨ ɬɟɯɧ ɢɧɮɨɪɦ ɂ Ƚ ɋɚɪɚɩɢɧ ə ɒ ɒɬɟɣɧ Ɇ ɂ Ʉɨɧɞɪɚɬɶɟɜ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
ɋɢɡɨɜ ȼ. ɉ.ɉɪɨɟɤɬɢɪɨɜɚɧɢɟ ɫɨɫɬɚɜɨɜ ɬɹɠɟɥɨɝɨ ɛɟɬɨɧɚ ȼ ɉ ɋɢɡɨɜ ²
Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɋɢɡɨɜ ȼ. ɉ.Ɋɚɰɢɨɧɚɥɶɧɵɣ ɩɨɞɛɨɪ ɫɨɫɬɚɜɨɜ ɬɹɠɟɥɨɝɨ ɛɟɬɨɧɚ ȼ ɉ ɋɢ
ɡɨɜ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɋɢɦɨɧɨɜ Ɇ. Ɂ. Ɉɫɧɨɜɵ ɬɟɯɧɨɥɨɝɢɢ ɥɟɝɤɢɯ ɛɟɬɨɧɨɜ Ɇ Ɂ ɋɢɦɨɧɨɜ ²
Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
ɋɥɨɬɢɧ ɘ. ɋ. Ʉɨɦɩɨɡɢɰɢɨɧɧɨɟɩɥɚɧɢɪɨɜɚɧɢɟɪɟɝɪɟɫɫɢɨɧɧɨɝɨɷɤɫɩɟɪɢ
ɦɟɧɬɚ ɘ ɋ ɋɥɨɬɢɧ ² Ɇ Ɂɧɚɧɢɟ ² ɫɋɇ ɂɧɫɬɪɭɤɰɢɹ ɩɨ ɢɡɝɨɬɨɜɥɟɧɢɸ ɢɡɞɟɥɢɣ ɢɡ ɹɱɟɢɫɬɨɝɨ ɛɟɬɨ
ɧɚ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɋɇɢɉ Ɇɨɫɬɵ ɢ ɬɪɭɛɵ ɉɪɢɥɨɠɟɧɢɟ ² Ɇ ɂɡɞ ɜɨ ɫɬɚɧɞɚɪ
ɬɨɜ ² ɫɋɇɢɉ ɉɪɨɢɡɜɨɞɫɬɜɨ ɫɛɨɪɧɵɯ ɠɟɥɟɡɨɛɟɬɨɧɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ
ɢ ɢɡɞɟɥɢɣ Ƚɨɫɫɬɪɨɣ ɋɋɋɊ ² Ɇ ɂɡɞ ɜɨ ɫɬɚɧɞɚɪɬɨɜ ² ɫɋɇɢɉ Ɍɢɩɨɜɵɟ ɧɨɪɦɵ ɪɚɫɯɨɞɚ ɰɟɦɟɧɬɚ ɞɥɹ ɢɡɝɨɬɨɜɥɟɧɢɹ ɛɟ
ɬɨɧɨɜ ɫɛɨɪɧɵɯ ɢ ɦɨɧɨɥɢɬɧɵɯɛɟɬɨɧɧɵɯ ɠɟɥɟɡɨɛɟɬɨɧɧɵɯ ɢɡɞɟɥɢɣ ɢ ɤɨɧɫɬɪɭɤ ɰɢɣ Ƚɨɫɫɬɪɨɣ ɋɋɋɊ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫ
ɋɨɪɨɤɟɪ ȼ. ɂ. ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɵɟ ɪɚɫɱɟɬɵ ɫɨɫɬɚɜɚ ɛɟɬɨɧɚ ȼ ɂ ɋɨɪɨ
ɤɟɪ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɋɬɚɬɢɫɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ ɜ ɢɧɠɟɧɟɪɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɹɯ ɥɚɛɨɪɚɬɨɪɧɵɣ
ɩɪɚɤɬɢɤɭɦ ɩɨɞ ɪɟɞ Ƚ Ʉ Ʉɪɭɝɚ ² Ɇ ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫɋɭɡɞɚɥɶɰɟɜ Ⱥ. ɂ.ɉɪɨɟɤɬɢɪɨɜɚɧɢɟ ɫɨɫɬɚɜɨɜ ɛɟɬɨɧɧɵɯ ɫɦɟɫɟɣ ɫ ɢɫɩɨɥɶ
ɡɨɜɚɧɢɟɦ ɧɟɱɟɬɤɨɣ ɥɨɝɢɤɢ ɢ ɤɨɦɩɶɸɬɟɪɧɵɯ ɬɟɯɧɨɥɨɝɢɣ Ⱥ ɂ ɋɭɡɞɚɥɶɰɟɜ ȾȼɅɢɯɚɱɟɜ ɗɧɟɪɝɨɢɪɟɫɭɪɫɨɫɛɟɪɟɠɟɧɢɟ ²;;,ɜɟɤɫɛɨɪɧɢɤɦɚɬɟɪɢɚɥɨɜ ,, Ɇɟɠɞɭɧɚɪɨɞɧɨɣ ɧɚɭɱɧɨ ɩɪɚɤɬɢɱɟɫɤɨɣ ɂɧɬɟɪɧɟɬ ɤɨɧɮɟɪɟɧɰɢɢ əɧɜɚɪɶ ɢɸɧɶ ɝ ² Ɉɪɟɥ
ɋɭɥɢɦɟɧɤɨ Ʌ. Ɇ.Ɍɟɯɧɨɥɨɝɢɹ ɦɢɧɟɪɚɥɶɧɵɯ ɜɹɠɭɳɢɯ ɦɚɬɟɪɢɚɥɨɜ ɢ ɢɡ
ɞɟɥɢɣ ɧɚ ɢɯ ɨɫɧɨɜɟ ɭɱɟɛ ɞɥɹ ɜɭɡɨɜ Ʌ Ɇ ɋɭɥɢɦɟɧɤɨ ² ɟ ɢɡɞ ɩɟɪɟɪɚɛ ɢ ɞɨɩ ² Ɇ ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫ
Ɍɟɪɟɯɨɜ Ʌ. Ʌ. ɗɤɨɧɨɦɢɤɨ ɦɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɟɬɨɞɵ Ʌ Ʌ Ɍɟɪɟɯɨɜ ²
Ɇ ɋɬɚɬɢɫɬɢɤɚ ² ɫȻɚɠɟɧɨɜ Ɇ. ɘ. Ɍɟɯɧɨɥɨɝɢɹ ɛɟɬɨɧɚ ɭɱɟɛɧɢɤ ɘ Ɇ Ȼɚɠɟɧɨɜ ² Ɇ
ɂɡɞ ɜɨ Ⱥɋȼ ² ɫɎɟɤɥɢɫɬɨɜ ȼ. ɇ. Ʉ ɨɰɟɧɤɟ ɮɨɪɦɢɪɨɜɚɧɢɹ ɩɟɧɨɛɟɬɨɧɧɨɣ ɫɬɪɭɤɬɭɪɵ
ɪɚɡɥɢɱɧɨɣ ɩɥɨɬɧɨɫɬɢ ȼ ɇ Ɏɟɤɥɢɫɬɨɜ ɋɬɪɨɢɬɟɥɶɧɵɟ ɦɚɬɟɪɢɚɥɵ ² ²
ʋ ² ɋɎɪɟɧɤɟɥɶ ɂ. Ɇ. Ɉɫɧɨɜɵ ɬɟɯɧɨɥɨɝɢɢ ɬɹɠɟɥɨɝɨ ɛɟɬɨɧɚ ɂ Ɇ Ɏɪɟɧ
ɤɟɥɶ ² Ɇ ɋɬɪɨɣɢɡɞɚɬ ² ɫɏɢɥɥ ɉ. ɇɚɭɤɚ ɢ ɢɫɤɭɫɫɬɜɨ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ Ɇɟɬɨɞɵ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ
ɧɚɭɱɧɨɟ ɨɛɨɫɧɨɜɚɧɢɟ ɪɟɲɟɧɢɣ ɩɟɪ ɫ ɚɧɝɥ ȿ Ƚ Ʉɨɜɚɥɟɧɤɨ ɩɨɞ ɪɟɞ ȼ Ɏ ȼɟɧ
ɞɵ ² Ɇ Ɇɢɪ ² ɫɏɨɤɫ Ȼ. Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɟ ɩɪɨɟɤɬɢɪɨɜɚɧɢɟ ɢ ɩɪɨɢɡɜɨɞɫɬɜɨ
Ȼ ɏɨɤɫ ² Ɇ Ɇɢɪ ² ɫɑɚɥɵɣ ȼ. Ⱦ. ɉɥɚɧɵ ɷɤɫɩɟɪɢɦɟɧɬɚ ɜɵɫɨɤɢɯ ɩɨɪɹɞɤɨɜ ɞɥɹ ɢɞɟɧɬɢɮɢɤɚ
ɰɢɢ ɨɛɴɟɤɬɨɜ ɭɱɟɛ ɉɨɫɨɛɢɟ ȼ Ⱦ ɑɚɥɵɣ ² Ɇ ɂɡɞ ɜɨ ɆɂɎɂ ² ɫɑɭɥɤɨɜɚ ɂ. Ʌ. Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɵɣ ɪɚɫɱɟɬ ɫɨɫɬɚɜɚ ɛɟɬɨɧɚ ɢ ɩɪɨɝɧɨɡɢ
ɪɨɜɚɧɢɟ ɟɝɨ ɫɜɨɣɫɬɜ ɂ Ʌ ɑɭɥɤɨɜɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ȼɟɫɬɧɢɤ ɋɢɛȺȾɂ ² ² ʋ ² ɋ
ɑɭɥɤɨɜɚ ɂ. Ʌ.Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɟ ɮɨɪɦɢɪɨɜɚɧɢɟ ɤɨɦɩɥɟɤɬɨɜ ɦɚɲɢɧ
ɢ ɦɟɯɚɧɢɡɦɨɜ ɞɥɹ ɩɪɨɢɡɜɨɞɫɬɜɚ ɛɟɬɨɧɧɵɯ ɪɚɛɨɬ ɂ Ʌ ɑɭɥɤɨɜɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɋ Ɇ Ʉɭɡɧɟɰɨɜ Ɉɦɫɤɢɣ ɧɚɭɱɧɵɣ ɜɟɫɬɧɢɤ ² ² ʋ ² ɋ
ɒɟɫɬɨɩɟɪɨɜ ɋ. ȼ. Ɍɟɯɧɨɥɨɝɢɹ ɛɟɬɨɧɚ ɭɱɟɛɧɨɟ ɩɨɫɨɛɢɟ ɞɥɹ ɜɭɡɨɜ
ɋ ȼ ɒɟɫɬɨɩɟɪɨɜ ² Ɇ ȼɵɫɲɚɹ ɲɤɨɥɚ ² ɫɒɦɢɝɚɥɶɫɤɢɣ ȼ. ɇ. Ɉɩɬɢɦɢɡɚɰɢɹ ɫɨɫɬɚɜɨɜ ɰɟɦɟɧɬɨɛɟɬɨɧɨɜ
ȼ ɇ ɒɦɢɝɚɥɶɫɤɢɣ ² Ʉɢɲɢɧɟɜ Ɇɢɪ ² ɫɗɧɤɚɪɧɚɱɱɨ ɀ. ȺɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɨɟɩɪɨɟɤɬɢɪɨɜɚɧɢɟɈɫɧɨɜɧɵɟ ɩɨɧɹ
ɬɢɹ ɢ ɚɪɯɢɬɟɤɬɭɪɚ ɫɢɫɬɟɦ ɀ ɗɧɤɚɪɧɚɱɱɨ ɗ ɒɥɟɯɬɟɧɞɚɥɶ ɩɟɪ ɫ ɚɧɝɥ ² Ɇ Ɋɚɞɢɨ ɢ ɫɜɹɡɶ ² ɫ
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Ʉɭɡɧɟɰɨɜ ɋ.Ɇ. Ɉɩɬɢɦɢɡɚɰɢɹ ɜɵɛɨɪɚ ɦɚɲɢɧ ɞɥɹ ɛɟɬɨɧɧɵɯ ɪɚɛɨɬ
ɋ Ɇ Ʉɭɡɧɟɰɨɜ Ɇ Ɇ Ɍɢɬɨɜ ə ɘ ȼɟɪɢɝɢɧɚ Ɉ ɋ Ɉɩɪɟɬɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ Ɇɟɯɚɧɢɡɚɰɢɹ ɫɬɪɨɢɬɟɥɶɫɬɜɚ ² ² ʋ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. ɋɜɢɞɟɬɟɥɶɫɬɜɨ ɨɛ ɨɬɪɚɫɥɟɜɨɣ ɪɟɝɢɫɬɪɚɰɢɢ ɪɚɡɪɚɛɨɬ
ɤɢ ʋ ɈɌɇ ɩɪɨɢɡɜɨɞɫɬɜɚ ɠɟɥɟɡɨɛɟɬɨɧɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ ɨɬ ɝ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ ɋ Ɇ Ʉɭɡɧɟɰɨɜ
ɑɭɥɤɨɜɚ ɂ. Ʌ.ȼɟɪɨɹɬɧɨɫɬɧɚɹ ɦɨɞɟɥɶ ɩɨɞɛɨɪɚ ɫɨɫɬɚɜɨɜ ɬɹɠɟɥɵɯ ɛɟɬɨ
ɧɨɜ ɂ Ʌ ɑɭɥɤɨɜɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɋ Ɇ Ʉɭɡɧɟɰɨɜ ɂɡɜɟɫɬɢɹ ɜɭɡɨɜ ɋɬɪɨɢ ɬɟɥɶɫɬɜɨ ² ² ʋ ² ɋ
ɋɚɧɶɤɨɜɚ Ɍ. Ⱥ. ɋɜɢɞɟɬɟɥɶɫɬɜɨ ɨɛ ɨɬɪɚɫɥɟɜɨɣ ɪɟɝɢɫɬɪɚɰɢɢ ɪɚɡɪɚɛɨɬɤɢ
ʋ ɉɨɞɛɨɪ ɫɨɫɬɚɜɨɜ ɬɹɠɟɥɵɯ ɛɟɬɨɧɨɜ ɜɟɪɨɹɬɧɨɫɬɧɵɦ ɦɟɬɨɞɨɦ ɨɬ ɝ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ɂ Ʌ ɑɭɥɤɨɜɚ ɋ Ɇ Ʉɭɡɧɟɰɨɜ
ɑɭɥɤɨɜɚ ɂ. Ʌ. Ⱥɜɬɨɦɚɬɢɡɢɪɨɜɚɧɧɵɣ ɪɚɫɱɟɬ ɫɨɫɬɚɜɚ ɬɹɠɟɥɨɝɨ ɛɟɬɨɧɚ
ɢ ɩɪɨɝɧɨɡɢɪɨɜɚɧɢɟ ɟɝɨ ɫɜɨɣɫɬɜ ɂ Ʌ ɑɭɥɤɨɜɚ Ɍ Ⱥ ɋɚɧɶɤɨɜɚ ȼɟɫɬɧɢɤ ȼɨɪɨɧɟɠɫɤɨɝɨ ɝɨɫɭɞɚɪɫɬɜɟɧɧɨɝɨ ɬɟɯɧɢɱɟɫɤɨɝɨ ɭɧɢɜɟɪɫɢɬɟɬɚ ² ² ʋ ² Ɍ ² ɋ
ǷǸǰdzǶǮǭǵǰȇ
ǷǸǰdzǶǮǭǵǰǭ
ǷȓȈȕȣ ȥȒșȗȍȘȐȔȍȕȚȖȊ
ǺȈȉȓȐȞȈ Ƿ
ǬȊțȝȜȈȒȚȖȘȕȣȑ ȥȒșȗȍȘȐȔȍȕȚ ȗȍȘȊȖȋȖ ȗȖȘȧȌȒȈ
ȹ ȖȗȣȚȈ |
ǴȈȚȘȐȞȈ ȗȓȈȕȐȘȖȊȈȕȐȧ |
ǹȊȖȑșȚȊȈ ȉȍȚȖȕȈYL |
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ǺȈȉȓȐȞȈ Ƿ
ǺȘȍȝȜȈȒȚȖȘȕȣȑ ȥȒșȗȍȘȐȔȍȕȚ ȗȍȘȊȖȋȖ ȗȖȘȧȌȒȈ
ȹ ȖȗȣȚȈ |
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ǴȈȚȘȐȞȈ ȗȓȈȕȐȘȖȊȈȕȐȧ |
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ǹȊȖȑșȚȊȈ ȉȍȚȖȕȈYL |
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ȝ |
ȝ |
ȝ |
ȝ ȝ |
ȝ ȝ |
ȝ ȝ |
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ǺȈȉȓȐȞȈ Ƿ
ǬȊțȝȜȈȒȚȖȘȕȣȑ ȥȒșȗȍȘȐȔȍȕȚ ȊȚȖȘȖȋȖ ȗȖȘȧȌȒȈ
ȹ ȖȗȣȚȈ |
ǴȈȚȘȐȞȈ ȗȓȈȕȐȘȖȊȈȕȐȧ ǹȊȖȑșȚȊȈ ȉȍȚȖȕȈYL |
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ȝ |
ȝ |
ȝ 2 |
ȝ 2 |
ȝ ȝ |
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Y |
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NȈ |
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ǷǸǰdzǶǮǭǵǰǭ |
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ǰșȗȣȚȈȕȐȧ ȚȧȎȍȓȖȋȖ ȉȍȚȖȕȈ ȉȍȏ ȌȖȉȈȊȖȒ |
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ǺȈȉȓȐȞȈ Ƿ |
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ǬȈȕȕȣȍ ȗȖ ȗȘȖȟȕȖșȚȐ ȗȘȐ șȎȈȚȐȐ |
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ǾȍȔȍȕȚ Ȓȋ |
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Ƿ ȁ |
5șȎǴǷȈ |
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ǺȈȉȓȐȞȈ Ƿ
ǶȞȍȕȒȈ ȒȖȥȜȜȐȞȐȍȕȚȖȊ țȘȈȊȕȍȕȐȧ ȘȍȋȘȍșșȐȐ
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DzȖȥȜȜȐȞȐȍȕȚȣ |
ǹȘȍȌȕȍȍ ȒȊȈȌȘȈȚȐȟȍșȒȖȍ |
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ǶȞȍȕȒȈ ȌȖșȚȖȊȍȘȕȖșȚȐ |
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țȘȈȊȕȍȕȐȧ |
ȖȚȒȓȖȕȍȕȐȍ ȒȖȥȜȜȐȞȐȍȕȚȖȊ |
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ȒȖȥȜȜȐȞȐȍȕȚȖȊ țȘȈȊȕȍȕȐȧ |
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ǺȈȉȓȐȞȈ Ƿ |
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ǶȞȍȕȒȈ ȈȌȍȒȊȈȚȕȖșȚȐ ȔȖȌȍȓȐ |
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ǬȖșȚȖȊȍȘȕȖșȚȤ țȘȈȊȕȍȕȐȧ ȘȍȋȘȍșșȐȐ 5 |
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ǶȞȍȕȒȈ ȌȖșȚȖȊȍȘȕȖșȚȐ ȊȍȓȐȟȐȕȣ 5 |
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) ȒȘȐȚȍȘȐȑ |
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ǿȐșȓȖ șȚȍȗȍȕȍȑ șȊȖȉȖȌȣ |
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ǬȈȕȕȣȍ ȗȖ ȗȓȖȚȕȖșȚȐ |
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ǺȈȉȓȐȞȈ Ƿ |
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ǾȍȔȍȕȚ Ȓȋ |
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Ȓȋ Ȕ |
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ǺȈȉȓȐȞȈ Ƿ
ǶȞȍȕȒȈ ȒȖȥȜȜȐȞȐȍȕȚȖȊ țȘȈȊȕȍȕȐȧ ȘȍȋȘȍșșȐȐ
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DzȖȥȜȜȐȞȐȍȕȚȣ |
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ǹȘȍȌȕȍȍ ȒȊȈȌȘȈȚȐȟȍșȒȖȍ |
ǶȞȍȕȒȈ ȌȖșȚȖȊȍȘȕȖșȚȐ |
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țȘȈȊȕȍȕȐȧ |
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ȖȚȒȓȖȕȍȕȐȍ ȒȖȥȜȜȐȞȐȍȕȚȖȊ |
ȒȖȥȜȜȐȞȐȍȕȚȖȊ țȘȈȊȕȍȕȐȧ |
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ǺȈȉȓȐȞȈ Ƿ |
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ǶȞȍȕȒȈ ȈȌȍȒȊȈȚȕȖșȚȐ ȔȖȌȍȓȐ |
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ǬȖșȚȖȊȍȘȕȖșȚȤ țȘȈȊȕȍȕȐȧ ȘȍȋȘȍșșȐȐ 5 |
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ǶȞȍȕȒȈ ȌȖșȚȖȊȍȘȕȖșȚȐ ȊȍȓȐȟȐȕȣ 5 |
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) ȒȘȐȚȍȘȐȑ |
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ǿȐșȓȖ șȚȍȗȍȕȍȑ șȊȖȉȖȌȣ |
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ǬȈȕȕȣȍ ȗȖ ȔȖȘȖȏȖșȚȖȑȒȖșȚȐ |
ǺȈȉȓȐȞȈ Ƿ |
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ǾȍȔȍȕȚ Ȓȋ |
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Ǫ Ǿ |
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Ƿ ȁ |
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5șȎǴǷȈ |
) ȞȐȒȓȣ |
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