JavaScript - 673 707 730 751
e=[],g=[],h=[],m=[],q=[];function r(){a=s,b=t;function d(d,A){n=a+d,p=b+A;c>e[n][p]&&(u=!1,v>e[n][p]&&(v=e[n][p],w=n,k=p))}c=e[a][b],u=!0,v=c,w=a,k=b;0!=a&&d(-1,0);a!=l&&d(1,0);0!=b&&d(0,-1);b!=l&&d(0,1);g[a][b]=w;h[a][b]=k;return u}function x(a,b,d){function c(a,b,c,k){g[a+b][c+k]==a&&h[a+b][c+k]==c&&(d=x(a+b,c+k,d))}d++;0!=a&&c(a,-1,b,0);a!=l&&c(a,1,b,0);0!=b&&c(a,0,b,-1);b!=l&&c(a,0,b,1);return d}y=$EXEC('cat "'+$ARG[0]+'"').split("\n");l=y[0]-1;for(z=-1;z++<l;)e[z]=y[z+1].split(" "),g[z]=[],h[z]=[];for(s=-1;s++<l;)for(t=-1;t++<l;)r()&&m.push([s,t]);for(z=m.length-1;0<=z;--z)s=m[z][0],t=m[z][1],q.push(x(s,t,0));print(q.sort(function(a,b){return b-a}).join(" "));
Résultats des tests (avec Nashorn):
$ for i in A B C D; do jjs -scripting minlm.js -- "test$i"; done
7 2
1
11 7 7
7 5 4
$
Il y aurait probablement des problèmes de pile pour les cartes de taille 5000 (mais c'est un détail d'implémentation :).
La source non minimisée dans toute sa grossièreté:
// lm.js - find the local minima
// Globalization of variables.
/*
The map is a 2 dimensional array. Indices for the elements map as:
[0,0] ... [0,n]
...
[n,0] ... [n,n]
Each element of the array is a structure. The structure for each element is:
Item Purpose Range Comment
---- ------- ----- -------
h Height of cell integers
s Is it a sink? boolean
x X of downhill cell (0..maxIndex) if s is true, x&y point to self
y Y of downhill cell (0..maxIndex)
Debugging only:
b Basin name ('A'..'A'+# of basins)
Use a separate array-of-arrays for each structure item. The index range is
0..maxIndex.
*/
var height = [];
var sink = [];
var downhillX = [];
var downhillY = [];
//var basin = [];
var maxIndex;
// A list of sinks in the map. Each element is an array of [ x, y ], where
// both x & y are in the range 0..maxIndex.
var basinList = [];
// An unordered list of basin sizes.
var basinSize = [];
// Functions.
function isSink(x,y) {
var myHeight = height[x][y];
var imaSink = true;
var bestDownhillHeight = myHeight;
var bestDownhillX = x;
var bestDownhillY = y;
/*
Visit the neighbors. If this cell is the lowest, then it's the
sink. If not, find the steepest downhill direction.
This would be the place to test the assumption that "If a cell
is not a sink, you may assume it has a unique lowest neighbor and
that this neighbor will be lower than the cell." But right now, we'll
take that on faith.
*/
function visit(deltaX,deltaY) {
var neighborX = x+deltaX;
var neighborY = y+deltaY;
if (myHeight > height[neighborX][neighborY]) {
imaSink = false;
if (bestDownhillHeight > height[neighborX][neighborY]) {
bestDownhillHeight = height[neighborX][neighborY];
bestDownhillX = neighborX;
bestDownhillY = neighborY;
}
}
}
if (x !== 0) {
// upwards neighbor exists
visit(-1,0);
}
if (x !== maxIndex) {
// downwards neighbor exists
visit(1,0);
}
if (y !== 0) {
// left-hand neighbor exists
visit(0,-1);
}
if (y !== maxIndex) {
// right-hand neighbor exists
visit(0,1);
}
downhillX[x][y] = bestDownhillX;
downhillY[x][y] = bestDownhillY;
return imaSink;
}
function exploreBasin(x,y,currentSize) {//,basinName) {
// This cell is in the basin.
//basin[x][y] = basinName;
currentSize++;
/*
Visit all neighbors that have this cell as the best downhill
path and add them to the basin.
*/
function visit(x,deltaX,y,deltaY) {
if ((downhillX[x+deltaX][y+deltaY] === x) && (downhillY[x+deltaX][y+deltaY] === y)) {
currentSize = exploreBasin(x+deltaX,y+deltaY,currentSize); //,basinName);
}
return 0;
}
if (x !== 0) {
// upwards neighbor exists
visit(x,-1,y,0);
}
if (x !== maxIndex) {
// downwards neighbor exists
visit(x,1,y,0);
}
if (y !== 0) {
// left-hand neighbor exists
visit(x,0,y,-1);
}
if (y !== maxIndex) {
// right-hand neighbor exists
visit(x,0,y,1);
}
return currentSize;
}
// Read map from file (1st argument).
var lines = $EXEC('cat "' + $ARG[0] + '"').split('\n');
maxIndex = lines.shift() - 1;
for (var i = 0; i<=maxIndex; i++) {
height[i] = lines.shift().split(' ');
// Create all other 2D arrays.
sink[i] = [];
downhillX[i] = [];
downhillY[i] = [];
//basin[i] = [];
}
// Everyone decides if they are a sink. Create list of sinks (i.e. roots).
for (var x=0; x<=maxIndex; x++) {
for (var y=0; y<=maxIndex; y++) {
if (sink[x][y] = isSink(x,y)) {
// This node is a root (AKA sink).
basinList.push([x,y]);
}
}
}
//for (var i = 0; i<=maxIndex; i++) { print(sink[i]); }
// Each root explores it's basin.
//var basinName = 'A';
for (var i=basinList.length-1; i>=0; --i) { // i-- makes Closure Compiler sad
var x = basinList[i][0];
var y = basinList[i][1];
basinSize.push(exploreBasin(x,y,0)); //,basinName));
//basinName = String.fromCharCode(basinName.charCodeAt() + 1);
}
//for (var i = 0; i<=maxIndex; i++) { print(basin[i]); }
// Done.
print(basinSize.sort(function(a, b){return b-a}).join(' '));
J'ai obtenu de meilleurs résultats de minimisation en divisant les objets élément en tableaux séparés, en globalisant partout où cela était possible et en adoptant les effets secondaires. NSFW.
Les effets de la minimisation du code:
- 4537 octets, non réduit
- 1180 octets, packer
- 855 octets, optimisations packer + main (noms globaux à 1 caractère)
- 751 octets, Google Closure Compiler avec ADVANCED_OPTIMIZATIONS (NB, il a élidé un "retour 0" résiduel comme code mort)
- 730 octets, optimisation imprudente de la main (je ne change pas la source non minimisée, donc NSFW)
- 707 octets, optimisation plus imprudente de la main (supprimez toutes les références à sink []);
- 673 octets, supprimer tous les "var", supprimer l'indicateur Nashorn -strict
J'aurais pu atteindre près de 700 octets sans éditer le code minimisé si j'avais voulu modifier la source d'origine. Mais je ne l'ai pas fait car je pense que le laisser tel quel donne une vue intéressante du point de départ.