Re: [BLACKBOX] Matrix slices - syntax

From: Douglas G. Danforth <"Douglas>
Date: Fri, 2 Apr 2010 15:40:25 -0700

----boundary-LibPST-iamunique-1905862808_-_- Content-type: text/plain A final comment on Matrices. TYPE Matrix = ARRAY OF ARRAY OF REAL; is not really a mathematical matrix. Why? Because in math M[i,j] treats the elements of the matrix equally. M[i, *] a row vector and M[*, j] a column vector can equally be considered This is not true in Component Pascal. Column vectors can not directly be accessed, only row vectors. M[i] is a row vector but there is no way to write the equivalent column vector. If one has TYPE M3 = ARRAY 3,3 OF REAL; then it is too easy to forget the asymmetry in this definition which is actually TYPE M3 = ARRAY 3 OF (ARRAY 3 OF REAL); (* parenthesis added for emphasis *) It was partly that forgetting that led me to start this thread. To get real symmetry in the construction of a matrix one would need to write TYPE Value = POINTER TO RECORD x: REAL END; Vector = POINTER TO ARRAY OF Value; Matrix = RECORD row, col: Vector END; and then in the instantiation of a matrix one would need to initialize the matrix as PROCEDURE NewMatrix (m, n: INTEGER): Martrix; VAR M: Matrix; VAR i, j: INTEGER; BEGIN NEW(M); NEW(M.row, m); NEW(M.col, n); FOR i := 0 TO m-1 DO FOR j := 0 TO n-1 DO NEW(M.row[i,j]); M.col[j,i] := M.row[i,j] END END RETURN M END NewMatrix; So that would work, however, the nasty syntax of having to enclose a primitive type within a record destroys the beauty of this representation for then one needs to write M.row[i,j].x (* "x" field access within record of type Value *) For this reason I would prefer to be able to write TYPE Value = POINTER TO REAL; (* or any other basic type *) and then one would simply write M.row[i,j] for the (pointer to the) REAL value of that component and, I suppose, M.row[i,j]^ for the REAL value. That new syntax would avoid having to create arbitrary names for the fields of pointers to basics types (i.e. in this case "x"). Just my two cents. -Doug ---- To unsubscribe, send a message with body "SIGNOFF BLACKBOX" to LISTSERV{([at]})nowhere.xy ----boundary-LibPST-iamunique-1905862808_-_- Content-type: application/rtf Content-transfer-encoding: base64 Content-Disposition: attachment; filename="rtf-body.rtf" e1xydGYxXGFuc2lcYW5zaWNwZzEyNTJcZnJvbWh0bWwxIFxkZWZmMHtcZm9udHRibA0Ke1xmMFxm c3dpc3NcZmNoYXJzZXQwIEFyaWFsO30NCntcZjFcZm1vZGVybiBDb3VyaWVyIE5ldzt9DQp7XGYy XGZuaWxcZmNoYXJzZXQyIFN5bWJvbDt9DQp7XGYzXGZtb2Rlcm5cZmNoYXJzZXQwIENvdXJpZXIg TmV3O319DQp7XGNvbG9ydGJsXHJlZDBcZ3JlZW4wXGJsdWUwO1xyZWQwXGdyZWVuMFxibHVlMjU1 O30NClx1YzFccGFyZFxwbGFpblxkZWZ0YWIzNjAgXGYwXGZzMjQgDQp7XCpcaHRtbHRhZzI0MyA8 IURPQ1RZUEUgaHRtbCBQVUJMSUMgIi0vL1czQy8vRFREIEhUTUwgNC4wMSBUcmFuc2l0aW9uYWwv L0VOIj59DQp7XCpcaHRtbHRhZzMgXHBhciB9DQp7XCpcaHRtbHRhZzE5IDxodG1sPn0NCntcKlxo dG1sdGFnMiBccGFyIH0NCntcKlxodG1sdGFnMzQgPGhlYWQ+fQ0Ke1wqXGh0bWx0YWcxIFxwYXIg fQ0Ke1wqXGh0bWx0YWcyNDEgICB9DQp7XCpcaHRtbHRhZzEgXHBhciB9DQp7XCpcaHRtbHRhZzQx IDwvaGVhZD59DQp7XCpcaHRtbHRhZzIgXHBhciB9DQp7XCpcaHRtbHRhZzUwIDxib2R5IGJnY29s b3I9IiNmZmZmZmYiIHRleHQ9IiMwMDAwMDAiPn1caHRtbHJ0ZiBcdmlld2tpbmQ1DQp7XCpcYmFj a2dyb3VuZCB7XHNocHtcKlxzaHBpbnN0e1xzcHtcc24gZmlsbENvbG9yfXtcc3YgMTY3NzcyMTV9 fXtcc3B7XHNuIGZGaWxsZWR9e1xzdiAxfX19fX1caHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzAgXHBh ciB9e1wqXGh0bWx0YWc2NH1caHRtbHJ0ZiB7XGh0bWxydGYwIEEgZmluYWwgY29tbWVudCBvbiBN YXRyaWNlcy4NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCAN CntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUN ClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH1UWVBFDQp7XCpcaHRtbHRhZzExNiA8YnI+ fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpcaHRt bHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJz cDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRm IFwnYTBcaHRtbHJ0ZjAgIE1hdHJpeCA9IEFSUkFZIE9GIEFSUkFZIE9GIFJFQUw7DQp7XCpcaHRt bHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBh ciB9DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpc aHRtbHRhZzQgXHBhciB9aXMgbm90IHJlYWxseSBhIG1hdGhlbWF0aWNhbCBtYXRyaXguDQp7XCpc aHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBXaHk/DQp7XCpcaHRtbHRh ZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9 QmVjYXVzZSBpbiBtYXRoIE1baSxqXSB0cmVhdHMgdGhlIGVsZW1lbnRzIG9mIHRoZQ0Ke1wqXGh0 bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxw YXIgfW1hdHJpeCBlcXVhbGx5Lg0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxo dG1scnRmMCAgDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAg DQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5l DQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9TVtpLCAqXSBhIHJvdyB2ZWN0b3IgYW5k IA0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc0IFxwYXIgfU1bKiwgal0gYSBjb2x1bW4gdmVjdG9yDQp7XCpcaHRtbHRhZzExNiA8YnI+ fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9Y2FuIGVxdWFs bHkgYmUgY29uc2lkZXJlZA0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0 ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfVRoaXMgaXMgbm90IHRydWUg aW4gQ29tcG9uZW50IFBhc2NhbC4NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBc aHRtbHJ0ZjAgIENvbHVtbiB2ZWN0b3JzDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxs aW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9Y2FuIG5vdCBkaXJlY3RseSBiZSBh Y2Nlc3NlZCwgb25seSByb3cgdmVjdG9ycy4NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYg XGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnMTE2IDxi cj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH1NW2ldIGlz IGEgcm93IHZlY3RvciBidXQgdGhlcmUgaXMgbm8gd2F5IHRvIHdyaXRlIHRoZSBlcXVpdmFsZW50 IGNvbHVtbg0Ke1wqXGh0bWx0YWc0IFxwYXIgfVxodG1scnRmICBcaHRtbHJ0ZjAgdmVjdG9yLg0K e1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0 YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYw IA0Ke1wqXGh0bWx0YWc0IFxwYXIgfUlmIG9uZSBoYXMNCntcKlxodG1sdGFnMTE2IDxicj59XGh0 bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH1UWVBFDQp7XCpcaHRt bHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBh ciB9DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5i c3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgIE0zID0gQVJSQVkgMywzIE9GIFJFQUw7DQp7XCpc aHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQg XHBhciB9dGhlbiBpdCBpcyB0b28gZWFzeSB0byBmb3JnZXQgdGhlIGFzeW1tZXRyeSBpbiB0aGlz IGRlZmluaXRpb24gd2hpY2ggaXMNCntcKlxodG1sdGFnNCBccGFyIH1caHRtbHJ0ZiAgXGh0bWxy dGYwIGFjdHVhbGx5DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0 ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9VFlQRQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0 ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAm bmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1s cnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0 bWxydGYwICBNMyA9IEFSUkFZIDMgT0YgKEFSUkFZIDMgT0YgUkVBTCk7DQp7XCpcaHRtbHRhZzg0 ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0 bWxydGYgXCdhMFxodG1scnRmMCAgKCogcGFyZW50aGVzaXMgYWRkZWQgZm9yDQp7XCpcaHRtbHRh ZzQgXHBhciB9XGh0bWxydGYgIFxodG1scnRmMCBlbXBoYXNpcyAqKQ0Ke1wqXGh0bWx0YWcxMTYg PGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wq XGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0 IFxwYXIgfUl0IHdhcyANCntcKlxodG1sdGFnODQgPGk+fVxodG1scnRmIHtcaSBcaHRtbHJ0ZjAg cGFydGx5DQp7XCpcaHRtbHRhZzkyIDwvaT59XGh0bWxydGYgfVxodG1scnRmMCAgdGhhdCBmb3Jn ZXR0aW5nIHRoYXQgbGVkIG1lIHRvIHN0YXJ0IHRoaXMgdGhyZWFkLg0Ke1wqXGh0bWx0YWcxMTYg PGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wq XGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0 IFxwYXIgfVRvIGdldCByZWFsIHN5bW1ldHJ5IGluIHRoZSBjb25zdHJ1Y3Rpb24gb2YgYSBtYXRy aXggb25lIHdvdWxkIG5lZWQgdG8NCntcKlxodG1sdGFnNCBccGFyIH1caHRtbHJ0ZiAgXGh0bWxy dGYwIHdyaXRlDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAg DQp7XCpcaHRtbHRhZzQgXHBhciB9VFlQRQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBc bGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAmbmJz cDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRm IFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxy dGYwICBWYWx1ZSA9IFBPSU5URVIgVE8gUkVDT1JEIHg6IFJFQUwgRU5EOw0Ke1wqXGh0bWx0YWcx MTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0K e1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFn ODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31c aHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBWZWN0b3IgPSBQT0lOVEVSIFRPIEFSUkFZIE9GIFZhbHVl Ow0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRm MCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRt bHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBNYXRyaXggPSBSRUNPUkQgcm93 LCBjb2w6IFZlY3RvciBFTkQ7DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpc aHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9YW5kIHRoZW4gaW4gdGhlIGluc3RhbnRpYXRp b24gb2YgYSBtYXRyaXggb25lIHdvdWxkIG5lZWQgdG8gaW5pdGlhbGl6ZQ0Ke1wqXGh0bWx0YWc0 IFxwYXIgfVxodG1scnRmICBcaHRtbHJ0ZjAgdGhlIG1hdHJpeCBhcw0Ke1wqXGh0bWx0YWcxMTYg PGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wq XGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0 IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntc KlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0 ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBQUk9DRURVUkUgTmV3TWF0cml4IChtLCBu OiBJTlRFR0VSKTogTWFydHJpeDsNCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUN ClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxo dG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2Ew XGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAg DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0 YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgVkFSIE06IE1hdHJpeDsgVkFSIGks IGo6IElOVEVHRVI7DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0 ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBc J2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRm MCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgIEJFR0lODQp7 XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRh ZzQgXHBhciB9DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0K e1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFn ODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9 XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwn YTBcaHRtbHJ0ZjAgIE5FVyhNKTsNCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUN ClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxo dG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2Ew XGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAg DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0 YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgTkVXKE0ucm93LCBtKTsNCntcKlxo dG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBc cGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpc aHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAm bmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRt bHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxo dG1scnRmMCAgTkVXKE0uY29sLCBuKTsNCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxp bmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7 fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBc J2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRm MCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgRk9SIGkgOj0gMCBUTyBtLTEg RE8NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxo dG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0 ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZu YnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxy dGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgRk9S IGogOj0gMCBUTyBuLTEgRE8NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxo dG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1s cnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7 XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4 NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31c aHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdh MFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYw IA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgTkVXKE0ucm93 W2ksal0pOw0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0K e1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxo dG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7 XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICANCntcKlxodG1sdGFn ODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31c aHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwn YTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYw ICANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRt bHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBNLmNvbFtqLGldIDo9IE0ucm93 W2ksal0NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntc KlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRt bHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wq XGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0 ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0 bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2Ew XGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAg RU5EDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpc aHRtbHRhZzQgXHBhciB9DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxy dGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxo dG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgIA0Ke1wqXGh0bWx0YWc4NCAm bmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1s cnRmIFwnYTBcaHRtbHJ0ZjAgIEVORA0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGlu ZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9 XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwn YTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYw ICANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRt bHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBSRVRVUk4gTQ0Ke1wqXGh0bWx0 YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIg fQ0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1s dGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNw O31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwICBFTkQgTmV3TWF0cml4Ow0Ke1wqXGh0bWx0YWcxMTYg PGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wq XGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0 IFxwYXIgfVNvIHRoYXQgd291bGQgd29yaywgaG93ZXZlciwgdGhlIG5hc3R5IHN5bnRheCBvZiBo YXZpbmcgdG8gZW5jbG9zZSBhDQp7XCpcaHRtbHRhZzQgXHBhciB9XGh0bWxydGYgIFxodG1scnRm MCBwcmltaXRpdmUgdHlwZQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfXdpdGhpbiBhIHJlY29yZCBkZXN0cm95cyB0aGUg YmVhdXR5IG9mIHRoaXMgcmVwcmVzZW50YXRpb24gZm9yIHRoZW4gb25lDQp7XCpcaHRtbHRhZzQg XHBhciB9XGh0bWxydGYgIFxodG1scnRmMCBuZWVkcyB0byB3cml0ZQ0Ke1wqXGh0bWx0YWcxMTYg PGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wq XGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQg Jm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRt bHJ0ZiBcJ2EwXGh0bWxydGYwICBNLnJvd1tpLGpdLngNCntcKlxodG1sdGFnODQgJm5ic3A7fVxo dG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2Ew XGh0bWxydGYwICAoKiAieCIgZmllbGQgYWNjZXNzIHdpdGhpbiByZWNvcmQgb2YgdHlwZSBWYWx1 ZSAqKQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wq XGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfUZvciB0aGlzIHJlYXNvbiBJIHdvdWxkIHByZWZl ciB0byBiZSBhYmxlIHRvIHdyaXRlDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5l DQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpcaHRtbHRhZzg0ICZuYnNwO31c aHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdh MFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAg IFRZUEUNCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntc KlxodG1sdGFnNCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRt bHJ0ZjAgDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wq XGh0bWx0YWc4NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgDQp7XCpcaHRtbHRhZzg0 ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9XGh0 bWxydGYgXCdhMFxodG1scnRmMCAgVmFsdWUgPSBQT0lOVEVSIFRPIFJFQUw7DQp7XCpcaHRtbHRh Zzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAmbmJzcDt9 XGh0bWxydGYgXCdhMFxodG1scnRmMCAgKCogb3IgYW55IG90aGVyIGJhc2ljIHR5cGUgKikNCntc KlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFn NCBccGFyIH1hbmQgdGhlbiBvbmUgd291bGQgc2ltcGx5IHdyaXRlDQp7XCpcaHRtbHRhZzExNiA8 YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpc aHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4NCAm bmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCANCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1s cnRmIFwnYTBcaHRtbHJ0ZjAgIE0ucm93W2ksal0NCntcKlxodG1sdGFnMTE2IDxicj59XGh0bWxy dGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH1mb3IgdGhlIChwb2ludGVy IHRvIHRoZSkgUkVBTCB2YWx1ZSBvZiB0aGF0IGNvbXBvbmVudCBhbmQsIEkgc3VwcG9zZSwNCntc KlxodG1sdGFnMTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFn NCBccGFyIH0NCntcKlxodG1sdGFnODQgJm5ic3A7fVxodG1scnRmIFwnYTBcaHRtbHJ0ZjAgDQp7 XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc4 NCAmbmJzcDt9XGh0bWxydGYgXCdhMFxodG1scnRmMCAgTS5yb3dbaSxqXV4NCntcKlxodG1sdGFn MTE2IDxicj59XGh0bWxydGYgXGxpbmUNClxodG1scnRmMCANCntcKlxodG1sdGFnNCBccGFyIH1m b3IgdGhlIFJFQUwgdmFsdWUuDQp7XCpcaHRtbHRhZzg0ICZuYnNwO31caHRtbHJ0ZiBcJ2EwXGh0 bWxydGYwICBUaGF0IG5ldyBzeW50YXggd291bGQgYXZvaWQgaGF2aW5nIHRvIGNyZWF0ZQ0Ke1wq XGh0bWx0YWc0IFxwYXIgfVxodG1scnRmICBcaHRtbHJ0ZjAgYXJiaXRyYXJ5IG5hbWVzDQp7XCpc aHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQg XHBhciB9Zm9yIHRoZSBmaWVsZHMgb2YgcG9pbnRlcnMgdG8gYmFzaWNzIHR5cGVzIChpLmUuIGlu IHRoaXMgY2FzZSAieCIpLg0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0 bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0 ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfUp1c3QgbXkgdHdvIGNlbnRz Lg0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxydGYwIA0Ke1wqXGh0 bWx0YWc0IFxwYXIgfQ0Ke1wqXGh0bWx0YWcxMTYgPGJyPn1caHRtbHJ0ZiBcbGluZQ0KXGh0bWxy dGYwIA0Ke1wqXGh0bWx0YWc0IFxwYXIgfS1Eb3VnDQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1s cnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7XCpcaHRtbHRhZzEx NiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRhZzQgXHBhciB9DQp7 XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAgDQp7XCpcaHRtbHRh ZzQgXHBhciB9DQp7XCpcaHRtbHRhZzExNiA8YnI+fVxodG1scnRmIFxsaW5lDQpcaHRtbHJ0ZjAg DQp7XCpcaHRtbHRhZzQgXHBhciB9e1wqXGh0bWx0YWc3Mn1caHRtbHJ0ZlxwYXJ9XGh0bWxydGYw DQoNCntcKlxodG1sdGFnNTggPC9ib2R5Pn0NCntcKlxodG1sdGFnMiBccGFyIH0NCntcKlxodG1s dGFnMjcgPC9odG1sPn0NCntcKlxodG1sdGFnMyBccGFyIH0NCntcKlxodG1sdGFnNjQgPHA+fVxo dG1scnRmIFxwYXINClxodG1scnRmMCBcaHRtbHJ0ZiB7XGh0bWxydGYwIA0Ke1wqXGh0bWx0YWc0 IFxwYXIgfS0tLS0NCntcKlxodG1sdGFnNCBccGFyIH1caHRtbHJ0ZiAgXGh0bWxydGYwIFRvIHVu c3Vic2NyaWJlLCBzZW5kIGEgbWVzc2FnZSB3aXRoIGJvZHkgIlNJR05PRkYgQkxBQ0tCT1giIHRv IExJU1RTRVJWQExJU1RTLk9CRVJPTi5DSA0Ke1wqXGh0bWx0YWc0IFxwYXIgfVxodG1scnRmICBc aHRtbHJ0ZjAgXGh0bWxydGZ9fQBaakFnVEVsVFZGTkYKVQ== ----boundary-LibPST-iamunique-1905862808_-_--- Received on Sat Apr 03 2010 - 00:40:25 UTC