]>
Commit | Line | Data |
---|---|---|
c0711f7f DSH |
1 | /* crypto/dsa/dsa_ossl.c */ |
2 | /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) | |
3 | * All rights reserved. | |
4 | * | |
5 | * This package is an SSL implementation written | |
6 | * by Eric Young (eay@cryptsoft.com). | |
7 | * The implementation was written so as to conform with Netscapes SSL. | |
8 | * | |
9 | * This library is free for commercial and non-commercial use as long as | |
10 | * the following conditions are aheared to. The following conditions | |
11 | * apply to all code found in this distribution, be it the RC4, RSA, | |
12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | |
13 | * included with this distribution is covered by the same copyright terms | |
14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | |
15 | * | |
16 | * Copyright remains Eric Young's, and as such any Copyright notices in | |
17 | * the code are not to be removed. | |
18 | * If this package is used in a product, Eric Young should be given attribution | |
19 | * as the author of the parts of the library used. | |
20 | * This can be in the form of a textual message at program startup or | |
21 | * in documentation (online or textual) provided with the package. | |
22 | * | |
23 | * Redistribution and use in source and binary forms, with or without | |
24 | * modification, are permitted provided that the following conditions | |
25 | * are met: | |
26 | * 1. Redistributions of source code must retain the copyright | |
27 | * notice, this list of conditions and the following disclaimer. | |
28 | * 2. Redistributions in binary form must reproduce the above copyright | |
29 | * notice, this list of conditions and the following disclaimer in the | |
30 | * documentation and/or other materials provided with the distribution. | |
31 | * 3. All advertising materials mentioning features or use of this software | |
32 | * must display the following acknowledgement: | |
33 | * "This product includes cryptographic software written by | |
34 | * Eric Young (eay@cryptsoft.com)" | |
35 | * The word 'cryptographic' can be left out if the rouines from the library | |
36 | * being used are not cryptographic related :-). | |
37 | * 4. If you include any Windows specific code (or a derivative thereof) from | |
38 | * the apps directory (application code) you must include an acknowledgement: | |
39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | |
40 | * | |
41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | |
42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
44 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | |
45 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | |
46 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | |
47 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
48 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | |
50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | |
51 | * SUCH DAMAGE. | |
52 | * | |
53 | * The licence and distribution terms for any publically available version or | |
54 | * derivative of this code cannot be changed. i.e. this code cannot simply be | |
55 | * copied and put under another distribution licence | |
56 | * [including the GNU Public Licence.] | |
57 | */ | |
58 | ||
59 | /* Original version from Steven Schoch <schoch@sheba.arc.nasa.gov> */ | |
60 | ||
14ae26f2 DSH |
61 | #define OPENSSL_FIPSAPI |
62 | ||
c0711f7f DSH |
63 | #include <stdio.h> |
64 | #include "cryptlib.h" | |
65 | #include <openssl/bn.h> | |
357d5de5 | 66 | #include <openssl/sha.h> |
c0711f7f DSH |
67 | #include <openssl/dsa.h> |
68 | #include <openssl/rand.h> | |
69 | #include <openssl/asn1.h> | |
20818e00 DSH |
70 | #ifdef OPENSSL_FIPS |
71 | #include <openssl/fips.h> | |
72 | #endif | |
c0711f7f DSH |
73 | |
74 | static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa); | |
ce1b4fe1 | 75 | static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp); |
c0711f7f | 76 | static int dsa_do_verify(const unsigned char *dgst, int dgst_len, DSA_SIG *sig, |
84948b39 | 77 | DSA *dsa); |
c0711f7f DSH |
78 | static int dsa_init(DSA *dsa); |
79 | static int dsa_finish(DSA *dsa); | |
c0711f7f DSH |
80 | |
81 | static DSA_METHOD openssl_dsa_meth = { | |
82 | "OpenSSL DSA method", | |
83 | dsa_do_sign, | |
84 | dsa_sign_setup, | |
85 | dsa_do_verify, | |
879650b8 GT |
86 | NULL, /* dsa_mod_exp, */ |
87 | NULL, /* dsa_bn_mod_exp, */ | |
c0711f7f DSH |
88 | dsa_init, |
89 | dsa_finish, | |
20818e00 | 90 | DSA_FLAG_FIPS_METHOD, |
0e4aa0d2 GT |
91 | NULL, |
92 | NULL, | |
c0711f7f DSH |
93 | NULL |
94 | }; | |
95 | ||
879650b8 GT |
96 | /* These macro wrappers replace attempts to use the dsa_mod_exp() and |
97 | * bn_mod_exp() handlers in the DSA_METHOD structure. We avoid the problem of | |
98 | * having a the macro work as an expression by bundling an "err_instr". So; | |
99 | * | |
100 | * if (!dsa->meth->bn_mod_exp(dsa, r,dsa->g,&k,dsa->p,ctx, | |
101 | * dsa->method_mont_p)) goto err; | |
102 | * | |
103 | * can be replaced by; | |
104 | * | |
105 | * DSA_BN_MOD_EXP(goto err, dsa, r, dsa->g, &k, dsa->p, ctx, | |
106 | * dsa->method_mont_p); | |
107 | */ | |
108 | ||
109 | #define DSA_MOD_EXP(err_instr,dsa,rr,a1,p1,a2,p2,m,ctx,in_mont) \ | |
110 | do { \ | |
111 | int _tmp_res53; \ | |
112 | if((dsa)->meth->dsa_mod_exp) \ | |
113 | _tmp_res53 = (dsa)->meth->dsa_mod_exp((dsa), (rr), (a1), (p1), \ | |
114 | (a2), (p2), (m), (ctx), (in_mont)); \ | |
115 | else \ | |
116 | _tmp_res53 = BN_mod_exp2_mont((rr), (a1), (p1), (a2), (p2), \ | |
117 | (m), (ctx), (in_mont)); \ | |
118 | if(!_tmp_res53) err_instr; \ | |
119 | } while(0) | |
120 | #define DSA_BN_MOD_EXP(err_instr,dsa,r,a,p,m,ctx,m_ctx) \ | |
121 | do { \ | |
122 | int _tmp_res53; \ | |
123 | if((dsa)->meth->bn_mod_exp) \ | |
124 | _tmp_res53 = (dsa)->meth->bn_mod_exp((dsa), (r), (a), (p), \ | |
125 | (m), (ctx), (m_ctx)); \ | |
126 | else \ | |
127 | _tmp_res53 = BN_mod_exp_mont((r), (a), (p), (m), (ctx), (m_ctx)); \ | |
128 | if(!_tmp_res53) err_instr; \ | |
129 | } while(0) | |
130 | ||
a4aba800 | 131 | const DSA_METHOD *DSA_OpenSSL(void) |
c0711f7f DSH |
132 | { |
133 | return &openssl_dsa_meth; | |
134 | } | |
135 | ||
136 | static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa) | |
137 | { | |
138 | BIGNUM *kinv=NULL,*r=NULL,*s=NULL; | |
139 | BIGNUM m; | |
140 | BIGNUM xr; | |
141 | BN_CTX *ctx=NULL; | |
b900a6b4 | 142 | int reason=ERR_R_BN_LIB; |
c0711f7f | 143 | DSA_SIG *ret=NULL; |
245a7eee | 144 | int noredo = 0; |
c0711f7f | 145 | |
20818e00 DSH |
146 | #ifdef OPENSSL_FIPS |
147 | if(FIPS_selftest_failed()) | |
148 | { | |
149 | FIPSerr(FIPS_F_DSA_DO_SIGN,FIPS_R_FIPS_SELFTEST_FAILED); | |
150 | return NULL; | |
151 | } | |
152 | ||
c2fd5989 | 153 | if (FIPS_module_mode() && !(dsa->flags & DSA_FLAG_NON_FIPS_ALLOW) |
cac4fb58 | 154 | && (BN_num_bits(dsa->p) < OPENSSL_DSA_FIPS_MIN_MODULUS_BITS)) |
20818e00 DSH |
155 | { |
156 | DSAerr(DSA_F_DSA_DO_SIGN, DSA_R_KEY_SIZE_TOO_SMALL); | |
157 | return NULL; | |
158 | } | |
cac4fb58 DSH |
159 | if (!fips_check_dsa_prng(dsa, 0, 0)) |
160 | goto err; | |
20818e00 DSH |
161 | #endif |
162 | ||
a74333f9 LJ |
163 | BN_init(&m); |
164 | BN_init(&xr); | |
165 | ||
c962479b DSH |
166 | if (!dsa->p || !dsa->q || !dsa->g) |
167 | { | |
168 | reason=DSA_R_MISSING_PARAMETERS; | |
169 | goto err; | |
170 | } | |
a74333f9 | 171 | |
c0711f7f DSH |
172 | s=BN_new(); |
173 | if (s == NULL) goto err; | |
c0711f7f DSH |
174 | ctx=BN_CTX_new(); |
175 | if (ctx == NULL) goto err; | |
245a7eee | 176 | redo: |
c0711f7f DSH |
177 | if ((dsa->kinv == NULL) || (dsa->r == NULL)) |
178 | { | |
e990b4f8 | 179 | if (!dsa->meth->dsa_sign_setup(dsa,ctx,&kinv,&r)) goto err; |
c0711f7f DSH |
180 | } |
181 | else | |
182 | { | |
183 | kinv=dsa->kinv; | |
184 | dsa->kinv=NULL; | |
185 | r=dsa->r; | |
186 | dsa->r=NULL; | |
245a7eee | 187 | noredo = 1; |
c0711f7f DSH |
188 | } |
189 | ||
b900a6b4 NL |
190 | |
191 | if (dlen > BN_num_bytes(dsa->q)) | |
357d5de5 NL |
192 | /* if the digest length is greater than the size of q use the |
193 | * BN_num_bits(dsa->q) leftmost bits of the digest, see | |
194 | * fips 186-3, 4.2 */ | |
b900a6b4 NL |
195 | dlen = BN_num_bytes(dsa->q); |
196 | if (BN_bin2bn(dgst,dlen,&m) == NULL) | |
197 | goto err; | |
c0711f7f DSH |
198 | |
199 | /* Compute s = inv(k) (m + xr) mod q */ | |
200 | if (!BN_mod_mul(&xr,dsa->priv_key,r,dsa->q,ctx)) goto err;/* s = xr */ | |
201 | if (!BN_add(s, &xr, &m)) goto err; /* s = m + xr */ | |
202 | if (BN_cmp(s,dsa->q) > 0) | |
776654ad | 203 | if (!BN_sub(s,s,dsa->q)) goto err; |
c0711f7f | 204 | if (!BN_mod_mul(s,s,kinv,dsa->q,ctx)) goto err; |
71fa4513 | 205 | |
c0711f7f DSH |
206 | ret=DSA_SIG_new(); |
207 | if (ret == NULL) goto err; | |
245a7eee DSH |
208 | /* Redo if r or s is zero as required by FIPS 186-3: this is |
209 | * very unlikely. | |
210 | */ | |
211 | if (BN_is_zero(r) || BN_is_zero(s)) | |
212 | { | |
213 | if (noredo) | |
214 | { | |
215 | reason = DSA_R_NEED_NEW_SETUP_VALUES; | |
216 | goto err; | |
217 | } | |
218 | goto redo; | |
219 | } | |
c0711f7f DSH |
220 | ret->r = r; |
221 | ret->s = s; | |
222 | ||
223 | err: | |
224 | if (!ret) | |
225 | { | |
226 | DSAerr(DSA_F_DSA_DO_SIGN,reason); | |
227 | BN_free(r); | |
228 | BN_free(s); | |
229 | } | |
230 | if (ctx != NULL) BN_CTX_free(ctx); | |
231 | BN_clear_free(&m); | |
232 | BN_clear_free(&xr); | |
233 | if (kinv != NULL) /* dsa->kinv is NULL now if we used it */ | |
234 | BN_clear_free(kinv); | |
235 | return(ret); | |
236 | } | |
237 | ||
ce1b4fe1 | 238 | static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp) |
c0711f7f DSH |
239 | { |
240 | BN_CTX *ctx; | |
0ebfcc8f | 241 | BIGNUM k,kq,*K,*kinv=NULL,*r=NULL; |
c0711f7f DSH |
242 | int ret=0; |
243 | ||
c962479b DSH |
244 | if (!dsa->p || !dsa->q || !dsa->g) |
245 | { | |
246 | DSAerr(DSA_F_DSA_SIGN_SETUP,DSA_R_MISSING_PARAMETERS); | |
247 | return 0; | |
248 | } | |
a74333f9 LJ |
249 | |
250 | BN_init(&k); | |
0ebfcc8f | 251 | BN_init(&kq); |
a74333f9 | 252 | |
c0711f7f DSH |
253 | if (ctx_in == NULL) |
254 | { | |
255 | if ((ctx=BN_CTX_new()) == NULL) goto err; | |
256 | } | |
257 | else | |
258 | ctx=ctx_in; | |
259 | ||
c0711f7f | 260 | if ((r=BN_new()) == NULL) goto err; |
c0711f7f DSH |
261 | |
262 | /* Get random k */ | |
35ed8cb8 | 263 | do |
e3068929 | 264 | if (!BN_rand_range(&k, dsa->q)) goto err; |
35ed8cb8 | 265 | while (BN_is_zero(&k)); |
46a64376 BM |
266 | if ((dsa->flags & DSA_FLAG_NO_EXP_CONSTTIME) == 0) |
267 | { | |
bd31fb21 | 268 | BN_set_flags(&k, BN_FLG_CONSTTIME); |
46a64376 | 269 | } |
c0711f7f | 270 | |
6ec8e63a | 271 | if (dsa->flags & DSA_FLAG_CACHE_MONT_P) |
c0711f7f | 272 | { |
879b1980 | 273 | if (!BN_MONT_CTX_set_locked(&dsa->method_mont_p, |
6ec8e63a DSH |
274 | CRYPTO_LOCK_DSA, |
275 | dsa->p, ctx)) | |
276 | goto err; | |
c0711f7f DSH |
277 | } |
278 | ||
279 | /* Compute r = (g^k mod p) mod q */ | |
0ebfcc8f BM |
280 | |
281 | if ((dsa->flags & DSA_FLAG_NO_EXP_CONSTTIME) == 0) | |
282 | { | |
283 | if (!BN_copy(&kq, &k)) goto err; | |
284 | ||
285 | /* We do not want timing information to leak the length of k, | |
286 | * so we compute g^k using an equivalent exponent of fixed length. | |
287 | * | |
288 | * (This is a kludge that we need because the BN_mod_exp_mont() | |
289 | * does not let us specify the desired timing behaviour.) */ | |
290 | ||
291 | if (!BN_add(&kq, &kq, dsa->q)) goto err; | |
292 | if (BN_num_bits(&kq) <= BN_num_bits(dsa->q)) | |
293 | { | |
294 | if (!BN_add(&kq, &kq, dsa->q)) goto err; | |
295 | } | |
296 | ||
297 | K = &kq; | |
298 | } | |
299 | else | |
300 | { | |
301 | K = &k; | |
302 | } | |
303 | DSA_BN_MOD_EXP(goto err, dsa, r, dsa->g, K, dsa->p, ctx, | |
879b1980 | 304 | dsa->method_mont_p); |
c0711f7f DSH |
305 | if (!BN_mod(r,r,dsa->q,ctx)) goto err; |
306 | ||
307 | /* Compute part of 's = inv(k) (m + xr) mod q' */ | |
308 | if ((kinv=BN_mod_inverse(NULL,&k,dsa->q,ctx)) == NULL) goto err; | |
309 | ||
310 | if (*kinvp != NULL) BN_clear_free(*kinvp); | |
311 | *kinvp=kinv; | |
312 | kinv=NULL; | |
313 | if (*rp != NULL) BN_clear_free(*rp); | |
314 | *rp=r; | |
315 | ret=1; | |
316 | err: | |
317 | if (!ret) | |
318 | { | |
319 | DSAerr(DSA_F_DSA_SIGN_SETUP,ERR_R_BN_LIB); | |
67b6f1ca NL |
320 | if (r != NULL) |
321 | BN_clear_free(r); | |
c0711f7f DSH |
322 | } |
323 | if (ctx_in == NULL) BN_CTX_free(ctx); | |
c0711f7f | 324 | BN_clear_free(&k); |
0ebfcc8f | 325 | BN_clear_free(&kq); |
c0711f7f DSH |
326 | return(ret); |
327 | } | |
328 | ||
329 | static int dsa_do_verify(const unsigned char *dgst, int dgst_len, DSA_SIG *sig, | |
84948b39 | 330 | DSA *dsa) |
c0711f7f DSH |
331 | { |
332 | BN_CTX *ctx; | |
333 | BIGNUM u1,u2,t1; | |
334 | BN_MONT_CTX *mont=NULL; | |
b900a6b4 | 335 | int ret = -1, i; |
c962479b DSH |
336 | if (!dsa->p || !dsa->q || !dsa->g) |
337 | { | |
338 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_MISSING_PARAMETERS); | |
339 | return -1; | |
340 | } | |
c0711f7f | 341 | |
357d5de5 NL |
342 | i = BN_num_bits(dsa->q); |
343 | /* fips 186-3 allows only different sizes for q */ | |
344 | if (i != 160 && i != 224 && i != 256) | |
5e3225cc BM |
345 | { |
346 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_BAD_Q_VALUE); | |
347 | return -1; | |
348 | } | |
349 | ||
20818e00 DSH |
350 | #ifdef OPENSSL_FIPS |
351 | if(FIPS_selftest_failed()) | |
352 | { | |
353 | FIPSerr(FIPS_F_DSA_DO_VERIFY,FIPS_R_FIPS_SELFTEST_FAILED); | |
354 | return -1; | |
355 | } | |
356 | ||
c2fd5989 | 357 | if (FIPS_module_mode() && !(dsa->flags & DSA_FLAG_NON_FIPS_ALLOW) |
69a80f7d | 358 | && (BN_num_bits(dsa->p) < OPENSSL_DSA_FIPS_MIN_MODULUS_BITS)) |
20818e00 DSH |
359 | { |
360 | DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_KEY_SIZE_TOO_SMALL); | |
361 | return -1; | |
362 | } | |
363 | #endif | |
364 | ||
5e3225cc BM |
365 | if (BN_num_bits(dsa->p) > OPENSSL_DSA_MAX_MODULUS_BITS) |
366 | { | |
367 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_MODULUS_TOO_LARGE); | |
368 | return -1; | |
369 | } | |
c0711f7f DSH |
370 | BN_init(&u1); |
371 | BN_init(&u2); | |
372 | BN_init(&t1); | |
373 | ||
a74333f9 LJ |
374 | if ((ctx=BN_CTX_new()) == NULL) goto err; |
375 | ||
ff22e913 | 376 | if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || |
b53e44e5 | 377 | BN_ucmp(sig->r, dsa->q) >= 0) |
c458a331 BM |
378 | { |
379 | ret = 0; | |
380 | goto err; | |
381 | } | |
ff22e913 | 382 | if (BN_is_zero(sig->s) || BN_is_negative(sig->s) || |
b53e44e5 | 383 | BN_ucmp(sig->s, dsa->q) >= 0) |
c458a331 BM |
384 | { |
385 | ret = 0; | |
386 | goto err; | |
387 | } | |
388 | ||
c0711f7f DSH |
389 | /* Calculate W = inv(S) mod Q |
390 | * save W in u2 */ | |
391 | if ((BN_mod_inverse(&u2,sig->s,dsa->q,ctx)) == NULL) goto err; | |
392 | ||
393 | /* save M in u1 */ | |
b900a6b4 | 394 | if (dgst_len > (i >> 3)) |
357d5de5 NL |
395 | /* if the digest length is greater than the size of q use the |
396 | * BN_num_bits(dsa->q) leftmost bits of the digest, see | |
397 | * fips 186-3, 4.2 */ | |
b900a6b4 NL |
398 | dgst_len = (i >> 3); |
399 | if (BN_bin2bn(dgst,dgst_len,&u1) == NULL) goto err; | |
c0711f7f DSH |
400 | |
401 | /* u1 = M * w mod q */ | |
402 | if (!BN_mod_mul(&u1,&u1,&u2,dsa->q,ctx)) goto err; | |
403 | ||
404 | /* u2 = r * w mod q */ | |
405 | if (!BN_mod_mul(&u2,sig->r,&u2,dsa->q,ctx)) goto err; | |
406 | ||
6ec8e63a DSH |
407 | |
408 | if (dsa->flags & DSA_FLAG_CACHE_MONT_P) | |
c0711f7f | 409 | { |
879b1980 | 410 | mont = BN_MONT_CTX_set_locked(&dsa->method_mont_p, |
6ec8e63a DSH |
411 | CRYPTO_LOCK_DSA, dsa->p, ctx); |
412 | if (!mont) | |
413 | goto err; | |
c0711f7f | 414 | } |
c0711f7f | 415 | |
879650b8 GT |
416 | |
417 | DSA_MOD_EXP(goto err, dsa, &t1, dsa->g, &u1, dsa->pub_key, &u2, dsa->p, ctx, mont); | |
c0711f7f DSH |
418 | /* BN_copy(&u1,&t1); */ |
419 | /* let u1 = u1 mod q */ | |
420 | if (!BN_mod(&u1,&t1,dsa->q,ctx)) goto err; | |
879650b8 | 421 | |
c0711f7f DSH |
422 | /* V is now in u1. If the signature is correct, it will be |
423 | * equal to R. */ | |
424 | ret=(BN_ucmp(&u1, sig->r) == 0); | |
425 | ||
426 | err: | |
b0ac0a8e | 427 | /* XXX: surely this is wrong - if ret is 0, it just didn't verify; |
e9ad6665 | 428 | there is no error in BN. Test should be ret == -1 (Ben) */ |
c0711f7f DSH |
429 | if (ret != 1) DSAerr(DSA_F_DSA_DO_VERIFY,ERR_R_BN_LIB); |
430 | if (ctx != NULL) BN_CTX_free(ctx); | |
431 | BN_free(&u1); | |
432 | BN_free(&u2); | |
433 | BN_free(&t1); | |
434 | return(ret); | |
435 | } | |
436 | ||
437 | static int dsa_init(DSA *dsa) | |
438 | { | |
13066cee | 439 | dsa->flags|=DSA_FLAG_CACHE_MONT_P; |
c0711f7f DSH |
440 | return(1); |
441 | } | |
442 | ||
443 | static int dsa_finish(DSA *dsa) | |
444 | { | |
13066cee | 445 | if(dsa->method_mont_p) |
879b1980 | 446 | BN_MONT_CTX_free(dsa->method_mont_p); |
c0711f7f DSH |
447 | return(1); |
448 | } | |
449 |