Hoe maak ik meest perfecte (Franklin pan)magisch vierkanten (basissleutel
methode)
Voor een meest perfect (Franklin pan)magisch vierkant (grootte is veelvoud van 8) bestaat een eenvoudige
basissleutel. Zie uitgewerkt voor een 16x16 vierkant.
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Zorg dat de som van elke kolom de grootte van het magische vierkant plus 1 (dus 16 + 1 = 17) is.
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16
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15
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3
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14
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11
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5
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10
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9
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7
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8
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Kopieer de twee regels door naar beneden tot de grootte van het magisch vierkant is bereikt.
Rij:
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16
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15
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14
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13
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5
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7
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9
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16
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14
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16
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14
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10
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9
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16
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14
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16
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14
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12
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10
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9
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14
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14
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14
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12
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11
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10
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9
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7
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8
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16
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14
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12
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9
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14
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13
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3
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12
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11
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5
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10
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9
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8
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1
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2
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16
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15
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3
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14
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13
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5
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12
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11
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7
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10
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9
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16
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15
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1
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2
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14
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13
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3
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12
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11
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5
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6
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10
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9
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7
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8
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Maak een tweede vierkant door het eerste vierkant een kwartslag naar links te draaien.
Kolom:
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9
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9
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8
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9
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9
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8
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9
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8
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9
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8
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10
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7
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7
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7
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10
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8
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9
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8
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9
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8
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9
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8
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9
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9
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8
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9
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8
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9
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7
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10
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7
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7
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10
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7
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10
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7
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7
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7
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7
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6
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6
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11
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6
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6
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6
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11
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6
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12
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5
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5
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5
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5
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11
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3
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3
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3
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3
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3
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14
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2
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15
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2
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2
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2
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2
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15
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2
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15
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2
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15
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2
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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2
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15
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2
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15
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2
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15
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2
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15
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2
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15
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2
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15
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2
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15
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2
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15
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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1
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16
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Neem een getal uit een vakje van het kolomvierkant en neem het getal uit hetzelfde vakje van het
rijvierkant en zoek het in te vullen getal op in de tabel hieronder.
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kolom:
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Rij:
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1
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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16
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2
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17
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33
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49
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55
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57
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59
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60
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61
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62
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63
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64
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5
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65
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66
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67
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68
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69
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70
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71
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72
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73
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74
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75
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76
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77
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78
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79
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80
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6
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81
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82
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83
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84
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85
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86
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87
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88
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89
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90
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91
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92
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93
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94
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95
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96
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7
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97
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98
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99
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100
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101
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102
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103
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104
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105
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106
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107
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108
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109
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110
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111
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112
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8
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113
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114
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115
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116
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117
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118
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119
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120
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121
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122
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123
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124
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125
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126
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127
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128
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9
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129
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130
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131
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132
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133
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134
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135
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136
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137
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138
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139
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140
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141
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142
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143
|
144
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10
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|
145
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146
|
147
|
148
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149
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150
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151
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152
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153
|
154
|
155
|
156
|
157
|
158
|
159
|
160
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|
11
|
|
161
|
162
|
163
|
164
|
165
|
166
|
167
|
168
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169
|
170
|
171
|
172
|
173
|
174
|
175
|
176
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|
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12
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|
177
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178
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179
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180
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181
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182
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183
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184
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185
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186
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187
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188
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189
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190
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191
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192
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13
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193
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194
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195
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196
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197
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198
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199
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200
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201
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202
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203
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204
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205
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206
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207
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208
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14
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|
209
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210
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211
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212
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213
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214
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215
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216
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217
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218
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219
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220
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221
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222
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223
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224
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15
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|
225
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226
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227
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228
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229
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230
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231
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232
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233
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234
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235
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236
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237
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238
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239
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240
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16
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|
241
|
242
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243
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244
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245
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246
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247
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248
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249
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250
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251
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252
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253
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254
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255
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256
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Zie onder het resultaat:
|
129
|
114
|
144
|
127
|
131
|
116
|
142
|
125
|
133
|
118
|
140
|
123
|
135
|
120
|
138
|
121
|
|
160
|
111
|
145
|
98
|
158
|
109
|
147
|
100
|
156
|
107
|
149
|
102
|
154
|
105
|
151
|
104
|
|
113
|
130
|
128
|
143
|
115
|
132
|
126
|
141
|
117
|
134
|
124
|
139
|
119
|
136
|
122
|
137
|
|
112
|
159
|
97
|
146
|
110
|
157
|
99
|
148
|
108
|
155
|
101
|
150
|
106
|
153
|
103
|
152
|
|
161
|
82
|
176
|
95
|
163
|
84
|
174
|
93
|
165
|
86
|
172
|
91
|
167
|
88
|
170
|
89
|
|
192
|
79
|
177
|
66
|
190
|
77
|
179
|
68
|
188
|
75
|
181
|
70
|
186
|
73
|
183
|
72
|
|
81
|
162
|
96
|
175
|
83
|
164
|
94
|
173
|
85
|
166
|
92
|
171
|
87
|
168
|
90
|
169
|
|
80
|
191
|
65
|
178
|
78
|
189
|
67
|
180
|
76
|
187
|
69
|
182
|
74
|
185
|
71
|
184
|
|
193
|
50
|
208
|
63
|
195
|
52
|
206
|
61
|
197
|
54
|
204
|
59
|
199
|
56
|
202
|
57
|
|
224
|
47
|
209
|
34
|
222
|
45
|
211
|
36
|
220
|
43
|
213
|
38
|
218
|
41
|
215
|
40
|
|
49
|
194
|
64
|
207
|
51
|
196
|
62
|
205
|
53
|
198
|
60
|
203
|
55
|
200
|
58
|
201
|
|
48
|
223
|
33
|
210
|
46
|
221
|
35
|
212
|
44
|
219
|
37
|
214
|
42
|
217
|
39
|
216
|
|
225
|
18
|
240
|
31
|
227
|
20
|
238
|
29
|
229
|
22
|
236
|
27
|
231
|
24
|
234
|
25
|
|
256
|
15
|
241
|
2
|
254
|
13
|
243
|
4
|
252
|
11
|
245
|
6
|
250
|
9
|
247
|
8
|
|
17
|
226
|
32
|
239
|
19
|
228
|
30
|
237
|
21
|
230
|
28
|
235
|
23
|
232
|
26
|
233
|
|
16
|
255
|
1
|
242
|
14
|
253
|
3
|
244
|
12
|
251
|
5
|
246
|
|