-- Apr 14 In-Class Exercise Thread
- Min trees: (a) -> 1/600, (b) -> 2/600
Total str: (a, b) -> 3/600
- Min trees: (a, b) -> 3/600, (c) -> 3/600
Total str: (a, b, c) -> 6/600
- Min trees: (d) -> 4/600, (e) -> 5/600
Total str: (a, b, c) -> 6/600, (d, e) -> 9/600
- Min trees: (a, b, c) -> 6/600, (f) -> 6/600
Total str: (a, b, c, f) -> 12/600, (d, e) -> 9/600
- Min trees: (g) -> 7/600, (h) -> 8/600
Total str: (d, e) -> 9/600, (a, b, c, f) -> 12/600, (g, h) -> 15/600
- Min trees: (d, e) -> 9/600, (i) -> 9/600,
Total str: (a, b, c, f) -> 12/600, (g, h) - 15/600, (d, e, i) -> 18/600
- Min trees: (j) -> 10/600, (k) -> 11/600
Total str: (a, b, c, f) -> 12/600, (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600
- Min trees: (a, b, c, f) -> 12/600, (l) -> 12/600
Total str: (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600
- Min trees: (m) -> 13/600, (n) -> 14/600
Total str: (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600
- Min trees: (g, h) -> 15/600, (o) -> 15/600
Total str: (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600
- Min trees: (p) -> 16/600, (q) -> 17/600
Total str: (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600
- Min trees: (d, e, i) -> 18/600, (r) -> 18/600
Total str: (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600
- Min trees: (s) -> 19/600, (t) -> 20/600
Total str: (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600
- Min trees: (j, k) -> 21/600, (u) -> 21/600
Total str: (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600
- Min trees: (v) -> 22/600, (w) -> 23/600
Total str: (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600
- Min trees: (a, b, c, f, l) -> 24/600, (x) -> 24/600
Total str: (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600
- Min trees: (m, n) -> 27/600, (g, h, o) - 30/600
Total str: (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600
- Min trees: (p, q) -> 33/600, (d, e, i, r) -> 36/600
Total str: (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600
- Min trees: (s, t) -> 39/600, (j, k, u) -> 42/600
Total str: (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600, (s, t, j, k, u) -> 81/600
- Min trees: (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600
Total str: (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600, (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600
- Min trees: (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600
Total str: (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600, (m, n, g, h, o, p, q, d, e, i, r) -> 126/600
- Min trees: (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600
Total str: (m, n, g, h, o, p, q, d, e, i, r) -> 126/600, (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600
- Min trees: (m, n, g, h, o, p, q, d, e, i, r) -> 126/600, (y) -> 150/600
Total str: (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600, (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600
- Min trees: (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600, (z) -> 150/600
Total str: (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600, (s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 324/600
- Min trees: (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600, (s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 324/600
Total str: (m, n, g, h, o, p, q, d, e, i, r, y, s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 600/600
(
Edited: 2021-04-14)
* Min trees: (a) -> 1/600, (b) -> 2/600
Total str: (a, b) -> 3/600
* Min trees: (a, b) -> 3/600, (c) -> 3/600
Total str: (a, b, c) -> 6/600
* Min trees: (d) -> 4/600, (e) -> 5/600
Total str: (a, b, c) -> 6/600, (d, e) -> 9/600
* Min trees: (a, b, c) -> 6/600, (f) -> 6/600
Total str: (a, b, c, f) -> 12/600, (d, e) -> 9/600
* Min trees: (g) -> 7/600, (h) -> 8/600
Total str: (d, e) -> 9/600, (a, b, c, f) -> 12/600, (g, h) -> 15/600
* Min trees: (d, e) -> 9/600, (i) -> 9/600,
Total str: (a, b, c, f) -> 12/600, (g, h) - 15/600, (d, e, i) -> 18/600
* Min trees: (j) -> 10/600, (k) -> 11/600
Total str: (a, b, c, f) -> 12/600, (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600
* Min trees: (a, b, c, f) -> 12/600, (l) -> 12/600
Total str: (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600
* Min trees: (m) -> 13/600, (n) -> 14/600
Total str: (g, h) - 15/600, (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600
* Min trees: (g, h) -> 15/600, (o) -> 15/600
Total str: (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600
* Min trees: (p) -> 16/600, (q) -> 17/600
Total str: (d, e, i) -> 18/600, (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600
* Min trees: (d, e, i) -> 18/600, (r) -> 18/600
Total str: (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600
* Min trees: (s) -> 19/600, (t) -> 20/600
Total str: (j, k) -> 21/600, (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600
* Min trees: (j, k) -> 21/600, (u) -> 21/600
Total str: (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600
* Min trees: (v) -> 22/600, (w) -> 23/600
Total str: (a, b, c, f, l) -> 24/600, (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600
* Min trees: (a, b, c, f, l) -> 24/600, (x) -> 24/600
Total str: (m, n) -> 27/600, (g, h, o) - 30/600, (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600
* Min trees: (m, n) -> 27/600, (g, h, o) - 30/600
Total str: (p, q) -> 33/600, (d, e, i, r) -> 36/600, (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600
* Min trees: (p, q) -> 33/600, (d, e, i, r) -> 36/600
Total str: (s, t) -> 39/600, (j, k, u) -> 42/600, (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600
* Min trees: (s, t) -> 39/600, (j, k, u) -> 42/600
Total str: (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600, (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600, (s, t, j, k, u) -> 81/600
* Min trees: (v, w) -> 45/600, (a, b, c, f, l, x) -> 48/600
Total str: (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600, (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600
* Min trees: (m, n, g, h, o) - 57/600, (p, q, d, e, i, r) -> 69/600
Total str: (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600, (m, n, g, h, o, p, q, d, e, i, r) -> 126/600
* Min trees: (s, t, j, k, u) -> 81/600, (v, w, a, b, c, f, l, x) -> 93/600
Total str: (m, n, g, h, o, p, q, d, e, i, r) -> 126/600, (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600
* Min trees: (m, n, g, h, o, p, q, d, e, i, r) -> 126/600, (y) -> 150/600
Total str: (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600, (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600
* Min trees: (s, t, j, k, u, v, w, a, b, c, f, l, x) -> 174/600, (z) -> 150/600
Total str: (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600, (s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 324/600
* Min trees: (m, n, g, h, o, p, q, d, e, i, r, y) -> 276/600, (s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 324/600
Total str: (m, n, g, h, o, p, q, d, e, i, r, y, s, t, j, k, u, v, w, a, b, c, f, l, x, z) -> 600/600