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| 1 #include "jpake.h" | |
| 2 | |
| 3 #include <openssl/crypto.h> | |
| 4 #include <openssl/sha.h> | |
| 5 #include <openssl/err.h> | |
| 6 #include <memory.h> | |
| 7 | |
| 8 /* | |
| 9 * In the definition, (xa, xb, xc, xd) are Alice's (x1, x2, x3, x4) or | |
| 10 * Bob's (x3, x4, x1, x2). If you see what I mean. | |
| 11 */ | |
| 12 | |
| 13 typedef struct | |
| 14 { | |
| 15 char *name; /* Must be unique */ | |
| 16 char *peer_name; | |
| 17 BIGNUM *p; | |
| 18 BIGNUM *g; | |
| 19 BIGNUM *q; | |
| 20 BIGNUM *gxc; /* Alice's g^{x3} or Bob's g^{x1} */ | |
| 21 BIGNUM *gxd; /* Alice's g^{x4} or Bob's g^{x2} */ | |
| 22 } JPAKE_CTX_PUBLIC; | |
| 23 | |
| 24 struct JPAKE_CTX | |
| 25 { | |
| 26 JPAKE_CTX_PUBLIC p; | |
| 27 BIGNUM *secret; /* The shared secret */ | |
| 28 BN_CTX *ctx; | |
| 29 BIGNUM *xa; /* Alice's x1 or Bob's x3 */ | |
| 30 BIGNUM *xb; /* Alice's x2 or Bob's x4 */ | |
| 31 BIGNUM *key; /* The calculated (shared) key */ | |
| 32 }; | |
| 33 | |
| 34 static void JPAKE_ZKP_init(JPAKE_ZKP *zkp) | |
| 35 { | |
| 36 zkp->gr = BN_new(); | |
| 37 zkp->b = BN_new(); | |
| 38 } | |
| 39 | |
| 40 static void JPAKE_ZKP_release(JPAKE_ZKP *zkp) | |
| 41 { | |
| 42 BN_free(zkp->b); | |
| 43 BN_free(zkp->gr); | |
| 44 } | |
| 45 | |
| 46 /* Two birds with one stone - make the global name as expected */ | |
| 47 #define JPAKE_STEP_PART_init JPAKE_STEP2_init | |
| 48 #define JPAKE_STEP_PART_release JPAKE_STEP2_release | |
| 49 | |
| 50 void JPAKE_STEP_PART_init(JPAKE_STEP_PART *p) | |
| 51 { | |
| 52 p->gx = BN_new(); | |
| 53 JPAKE_ZKP_init(&p->zkpx); | |
| 54 } | |
| 55 | |
| 56 void JPAKE_STEP_PART_release(JPAKE_STEP_PART *p) | |
| 57 { | |
| 58 JPAKE_ZKP_release(&p->zkpx); | |
| 59 BN_free(p->gx); | |
| 60 } | |
| 61 | |
| 62 void JPAKE_STEP1_init(JPAKE_STEP1 *s1) | |
| 63 { | |
| 64 JPAKE_STEP_PART_init(&s1->p1); | |
| 65 JPAKE_STEP_PART_init(&s1->p2); | |
| 66 } | |
| 67 | |
| 68 void JPAKE_STEP1_release(JPAKE_STEP1 *s1) | |
| 69 { | |
| 70 JPAKE_STEP_PART_release(&s1->p2); | |
| 71 JPAKE_STEP_PART_release(&s1->p1); | |
| 72 } | |
| 73 | |
| 74 static void JPAKE_CTX_init(JPAKE_CTX *ctx, const char *name, | |
| 75 const char *peer_name, const BIGNUM *p, | |
| 76 const BIGNUM *g, const BIGNUM *q, | |
| 77 const BIGNUM *secret) | |
| 78 { | |
| 79 ctx->p.name = OPENSSL_strdup(name); | |
| 80 ctx->p.peer_name = OPENSSL_strdup(peer_name); | |
| 81 ctx->p.p = BN_dup(p); | |
| 82 ctx->p.g = BN_dup(g); | |
| 83 ctx->p.q = BN_dup(q); | |
| 84 ctx->secret = BN_dup(secret); | |
| 85 | |
| 86 ctx->p.gxc = BN_new(); | |
| 87 ctx->p.gxd = BN_new(); | |
| 88 | |
| 89 ctx->xa = BN_new(); | |
| 90 ctx->xb = BN_new(); | |
| 91 ctx->key = BN_new(); | |
| 92 ctx->ctx = BN_CTX_new(); | |
| 93 } | |
| 94 | |
| 95 static void JPAKE_CTX_release(JPAKE_CTX *ctx) | |
| 96 { | |
| 97 BN_CTX_free(ctx->ctx); | |
| 98 BN_clear_free(ctx->key); | |
| 99 BN_clear_free(ctx->xb); | |
| 100 BN_clear_free(ctx->xa); | |
| 101 | |
| 102 BN_free(ctx->p.gxd); | |
| 103 BN_free(ctx->p.gxc); | |
| 104 | |
| 105 BN_clear_free(ctx->secret); | |
| 106 BN_free(ctx->p.q); | |
| 107 BN_free(ctx->p.g); | |
| 108 BN_free(ctx->p.p); | |
| 109 OPENSSL_free(ctx->p.peer_name); | |
| 110 OPENSSL_free(ctx->p.name); | |
| 111 | |
| 112 memset(ctx, '\0', sizeof *ctx); | |
| 113 } | |
| 114 | |
| 115 JPAKE_CTX *JPAKE_CTX_new(const char *name, const char *peer_name, | |
| 116 const BIGNUM *p, const BIGNUM *g, const BIGNUM *q, | |
| 117 const BIGNUM *secret) | |
| 118 { | |
| 119 JPAKE_CTX *ctx = OPENSSL_malloc(sizeof *ctx); | |
| 120 | |
| 121 JPAKE_CTX_init(ctx, name, peer_name, p, g, q, secret); | |
| 122 | |
| 123 return ctx; | |
| 124 } | |
| 125 | |
| 126 void JPAKE_CTX_free(JPAKE_CTX *ctx) | |
| 127 { | |
| 128 JPAKE_CTX_release(ctx); | |
| 129 OPENSSL_free(ctx); | |
| 130 } | |
| 131 | |
| 132 static void hashlength(SHA_CTX *sha, size_t l) | |
| 133 { | |
| 134 unsigned char b[2]; | |
| 135 | |
| 136 OPENSSL_assert(l <= 0xffff); | |
| 137 b[0] = l >> 8; | |
| 138 b[1] = l&0xff; | |
| 139 SHA1_Update(sha, b, 2); | |
| 140 } | |
| 141 | |
| 142 static void hashstring(SHA_CTX *sha, const char *string) | |
| 143 { | |
| 144 size_t l = strlen(string); | |
| 145 | |
| 146 hashlength(sha, l); | |
| 147 SHA1_Update(sha, string, l); | |
| 148 } | |
| 149 | |
| 150 static void hashbn(SHA_CTX *sha, const BIGNUM *bn) | |
| 151 { | |
| 152 size_t l = BN_num_bytes(bn); | |
| 153 unsigned char *bin = OPENSSL_malloc(l); | |
| 154 | |
| 155 hashlength(sha, l); | |
| 156 BN_bn2bin(bn, bin); | |
| 157 SHA1_Update(sha, bin, l); | |
| 158 OPENSSL_free(bin); | |
| 159 } | |
| 160 | |
| 161 /* h=hash(g, g^r, g^x, name) */ | |
| 162 static void zkp_hash(BIGNUM *h, const BIGNUM *zkpg, const JPAKE_STEP_PART *p, | |
| 163 const char *proof_name) | |
| 164 { | |
| 165 unsigned char md[SHA_DIGEST_LENGTH]; | |
| 166 SHA_CTX sha; | |
| 167 | |
| 168 /* | |
| 169 * XXX: hash should not allow moving of the boundaries - Java code | |
| 170 * is flawed in this respect. Length encoding seems simplest. | |
| 171 */ | |
| 172 SHA1_Init(&sha); | |
| 173 hashbn(&sha, zkpg); | |
| 174 OPENSSL_assert(!BN_is_zero(p->zkpx.gr)); | |
| 175 hashbn(&sha, p->zkpx.gr); | |
| 176 hashbn(&sha, p->gx); | |
| 177 hashstring(&sha, proof_name); | |
| 178 SHA1_Final(md, &sha); | |
| 179 BN_bin2bn(md, SHA_DIGEST_LENGTH, h); | |
| 180 } | |
| 181 | |
| 182 /* | |
| 183 * Prove knowledge of x | |
| 184 * Note that p->gx has already been calculated | |
| 185 */ | |
| 186 static void generate_zkp(JPAKE_STEP_PART *p, const BIGNUM *x, | |
| 187 const BIGNUM *zkpg, JPAKE_CTX *ctx) | |
| 188 { | |
| 189 BIGNUM *r = BN_new(); | |
| 190 BIGNUM *h = BN_new(); | |
| 191 BIGNUM *t = BN_new(); | |
| 192 | |
| 193 /* | |
| 194 * r in [0,q) | |
| 195 * XXX: Java chooses r in [0, 2^160) - i.e. distribution not uniform | |
| 196 */ | |
| 197 BN_rand_range(r, ctx->p.q); | |
| 198 /* g^r */ | |
| 199 BN_mod_exp(p->zkpx.gr, zkpg, r, ctx->p.p, ctx->ctx); | |
| 200 | |
| 201 /* h=hash... */ | |
| 202 zkp_hash(h, zkpg, p, ctx->p.name); | |
| 203 | |
| 204 /* b = r - x*h */ | |
| 205 BN_mod_mul(t, x, h, ctx->p.q, ctx->ctx); | |
| 206 BN_mod_sub(p->zkpx.b, r, t, ctx->p.q, ctx->ctx); | |
| 207 | |
| 208 /* cleanup */ | |
| 209 BN_free(t); | |
| 210 BN_free(h); | |
| 211 BN_free(r); | |
| 212 } | |
| 213 | |
| 214 static int verify_zkp(const JPAKE_STEP_PART *p, const BIGNUM *zkpg, | |
| 215 JPAKE_CTX *ctx) | |
| 216 { | |
| 217 BIGNUM *h = BN_new(); | |
| 218 BIGNUM *t1 = BN_new(); | |
| 219 BIGNUM *t2 = BN_new(); | |
| 220 BIGNUM *t3 = BN_new(); | |
| 221 int ret = 0; | |
| 222 | |
| 223 zkp_hash(h, zkpg, p, ctx->p.peer_name); | |
| 224 | |
| 225 /* t1 = g^b */ | |
| 226 BN_mod_exp(t1, zkpg, p->zkpx.b, ctx->p.p, ctx->ctx); | |
| 227 /* t2 = (g^x)^h = g^{hx} */ | |
| 228 BN_mod_exp(t2, p->gx, h, ctx->p.p, ctx->ctx); | |
| 229 /* t3 = t1 * t2 = g^{hx} * g^b = g^{hx+b} = g^r (allegedly) */ | |
| 230 BN_mod_mul(t3, t1, t2, ctx->p.p, ctx->ctx); | |
| 231 | |
| 232 /* verify t3 == g^r */ | |
| 233 if(BN_cmp(t3, p->zkpx.gr) == 0) | |
| 234 ret = 1; | |
| 235 else | |
| 236 JPAKEerr(JPAKE_F_VERIFY_ZKP, JPAKE_R_ZKP_VERIFY_FAILED); | |
| 237 | |
| 238 /* cleanup */ | |
| 239 BN_free(t3); | |
| 240 BN_free(t2); | |
| 241 BN_free(t1); | |
| 242 BN_free(h); | |
| 243 | |
| 244 return ret; | |
| 245 } | |
| 246 | |
| 247 static void generate_step_part(JPAKE_STEP_PART *p, const BIGNUM *x, | |
| 248 const BIGNUM *g, JPAKE_CTX *ctx) | |
| 249 { | |
| 250 BN_mod_exp(p->gx, g, x, ctx->p.p, ctx->ctx); | |
| 251 generate_zkp(p, x, g, ctx); | |
| 252 } | |
| 253 | |
| 254 /* Generate each party's random numbers. xa is in [0, q), xb is in [1, q). */ | |
| 255 static void genrand(JPAKE_CTX *ctx) | |
| 256 { | |
| 257 BIGNUM *qm1; | |
| 258 | |
| 259 /* xa in [0, q) */ | |
| 260 BN_rand_range(ctx->xa, ctx->p.q); | |
| 261 | |
| 262 /* q-1 */ | |
| 263 qm1 = BN_new(); | |
| 264 BN_copy(qm1, ctx->p.q); | |
| 265 BN_sub_word(qm1, 1); | |
| 266 | |
| 267 /* ... and xb in [0, q-1) */ | |
| 268 BN_rand_range(ctx->xb, qm1); | |
| 269 /* [1, q) */ | |
| 270 BN_add_word(ctx->xb, 1); | |
| 271 | |
| 272 /* cleanup */ | |
| 273 BN_free(qm1); | |
| 274 } | |
| 275 | |
| 276 int JPAKE_STEP1_generate(JPAKE_STEP1 *send, JPAKE_CTX *ctx) | |
| 277 { | |
| 278 genrand(ctx); | |
| 279 generate_step_part(&send->p1, ctx->xa, ctx->p.g, ctx); | |
| 280 generate_step_part(&send->p2, ctx->xb, ctx->p.g, ctx); | |
| 281 | |
| 282 return 1; | |
| 283 } | |
| 284 | |
| 285 /* g^x is a legal value */ | |
| 286 static int is_legal(const BIGNUM *gx, const JPAKE_CTX *ctx) | |
| 287 { | |
| 288 BIGNUM *t; | |
| 289 int res; | |
| 290 | |
| 291 if(BN_is_negative(gx) || BN_is_zero(gx) || BN_cmp(gx, ctx->p.p) >= 0) | |
| 292 return 0; | |
| 293 | |
| 294 t = BN_new(); | |
| 295 BN_mod_exp(t, gx, ctx->p.q, ctx->p.p, ctx->ctx); | |
| 296 res = BN_is_one(t); | |
| 297 BN_free(t); | |
| 298 | |
| 299 return res; | |
| 300 } | |
| 301 | |
| 302 int JPAKE_STEP1_process(JPAKE_CTX *ctx, const JPAKE_STEP1 *received) | |
| 303 { | |
| 304 if(!is_legal(received->p1.gx, ctx)) | |
| 305 { | |
| 306 JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X3_IS_NOT_LEGAL); | |
| 307 return 0; | |
| 308 } | |
| 309 | |
| 310 if(!is_legal(received->p2.gx, ctx)) | |
| 311 { | |
| 312 JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X4_IS_NOT_LEGAL); | |
| 313 return 0; | |
| 314 } | |
| 315 | |
| 316 /* verify their ZKP(xc) */ | |
| 317 if(!verify_zkp(&received->p1, ctx->p.g, ctx)) | |
| 318 { | |
| 319 JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X3_FAILED); | |
| 320 return 0; | |
| 321 } | |
| 322 | |
| 323 /* verify their ZKP(xd) */ | |
| 324 if(!verify_zkp(&received->p2, ctx->p.g, ctx)) | |
| 325 { | |
| 326 JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X4_FAILED); | |
| 327 return 0; | |
| 328 } | |
| 329 | |
| 330 /* g^xd != 1 */ | |
| 331 if(BN_is_one(received->p2.gx)) | |
| 332 { | |
| 333 JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X4_IS_ONE); | |
| 334 return 0; | |
| 335 } | |
| 336 | |
| 337 /* Save the bits we need for later */ | |
| 338 BN_copy(ctx->p.gxc, received->p1.gx); | |
| 339 BN_copy(ctx->p.gxd, received->p2.gx); | |
| 340 | |
| 341 return 1; | |
| 342 } | |
| 343 | |
| 344 | |
| 345 int JPAKE_STEP2_generate(JPAKE_STEP2 *send, JPAKE_CTX *ctx) | |
| 346 { | |
| 347 BIGNUM *t1 = BN_new(); | |
| 348 BIGNUM *t2 = BN_new(); | |
| 349 | |
| 350 /* | |
| 351 * X = g^{(xa + xc + xd) * xb * s} | |
| 352 * t1 = g^xa | |
| 353 */ | |
| 354 BN_mod_exp(t1, ctx->p.g, ctx->xa, ctx->p.p, ctx->ctx); | |
| 355 /* t2 = t1 * g^{xc} = g^{xa} * g^{xc} = g^{xa + xc} */ | |
| 356 BN_mod_mul(t2, t1, ctx->p.gxc, ctx->p.p, ctx->ctx); | |
| 357 /* t1 = t2 * g^{xd} = g^{xa + xc + xd} */ | |
| 358 BN_mod_mul(t1, t2, ctx->p.gxd, ctx->p.p, ctx->ctx); | |
| 359 /* t2 = xb * s */ | |
| 360 BN_mod_mul(t2, ctx->xb, ctx->secret, ctx->p.q, ctx->ctx); | |
| 361 | |
| 362 /* | |
| 363 * ZKP(xb * s) | |
| 364 * XXX: this is kinda funky, because we're using | |
| 365 * | |
| 366 * g' = g^{xa + xc + xd} | |
| 367 * | |
| 368 * as the generator, which means X is g'^{xb * s} | |
| 369 * X = t1^{t2} = t1^{xb * s} = g^{(xa + xc + xd) * xb * s} | |
| 370 */ | |
| 371 generate_step_part(send, t2, t1, ctx); | |
| 372 | |
| 373 /* cleanup */ | |
| 374 BN_free(t1); | |
| 375 BN_free(t2); | |
| 376 | |
| 377 return 1; | |
| 378 } | |
| 379 | |
| 380 /* gx = g^{xc + xa + xb} * xd * s */ | |
| 381 static int compute_key(JPAKE_CTX *ctx, const BIGNUM *gx) | |
| 382 { | |
| 383 BIGNUM *t1 = BN_new(); | |
| 384 BIGNUM *t2 = BN_new(); | |
| 385 BIGNUM *t3 = BN_new(); | |
| 386 | |
| 387 /* | |
| 388 * K = (gx/g^{xb * xd * s})^{xb} | |
| 389 * = (g^{(xc + xa + xb) * xd * s - xb * xd *s})^{xb} | |
| 390 * = (g^{(xa + xc) * xd * s})^{xb} | |
| 391 * = g^{(xa + xc) * xb * xd * s} | |
| 392 * [which is the same regardless of who calculates it] | |
| 393 */ | |
| 394 | |
| 395 /* t1 = (g^{xd})^{xb} = g^{xb * xd} */ | |
| 396 BN_mod_exp(t1, ctx->p.gxd, ctx->xb, ctx->p.p, ctx->ctx); | |
| 397 /* t2 = -s = q-s */ | |
| 398 BN_sub(t2, ctx->p.q, ctx->secret); | |
| 399 /* t3 = t1^t2 = g^{-xb * xd * s} */ | |
| 400 BN_mod_exp(t3, t1, t2, ctx->p.p, ctx->ctx); | |
| 401 /* t1 = gx * t3 = X/g^{xb * xd * s} */ | |
| 402 BN_mod_mul(t1, gx, t3, ctx->p.p, ctx->ctx); | |
| 403 /* K = t1^{xb} */ | |
| 404 BN_mod_exp(ctx->key, t1, ctx->xb, ctx->p.p, ctx->ctx); | |
| 405 | |
| 406 /* cleanup */ | |
| 407 BN_free(t3); | |
| 408 BN_free(t2); | |
| 409 BN_free(t1); | |
| 410 | |
| 411 return 1; | |
| 412 } | |
| 413 | |
| 414 int JPAKE_STEP2_process(JPAKE_CTX *ctx, const JPAKE_STEP2 *received) | |
| 415 { | |
| 416 BIGNUM *t1 = BN_new(); | |
| 417 BIGNUM *t2 = BN_new(); | |
| 418 int ret = 0; | |
| 419 | |
| 420 /* | |
| 421 * g' = g^{xc + xa + xb} [from our POV] | |
| 422 * t1 = xa + xb | |
| 423 */ | |
| 424 BN_mod_add(t1, ctx->xa, ctx->xb, ctx->p.q, ctx->ctx); | |
| 425 /* t2 = g^{t1} = g^{xa+xb} */ | |
| 426 BN_mod_exp(t2, ctx->p.g, t1, ctx->p.p, ctx->ctx); | |
| 427 /* t1 = g^{xc} * t2 = g^{xc + xa + xb} */ | |
| 428 BN_mod_mul(t1, ctx->p.gxc, t2, ctx->p.p, ctx->ctx); | |
| 429 | |
| 430 if(verify_zkp(received, t1, ctx)) | |
| 431 ret = 1; | |
| 432 else | |
| 433 JPAKEerr(JPAKE_F_JPAKE_STEP2_PROCESS, JPAKE_R_VERIFY_B_FAILED); | |
| 434 | |
| 435 compute_key(ctx, received->gx); | |
| 436 | |
| 437 /* cleanup */ | |
| 438 BN_free(t2); | |
| 439 BN_free(t1); | |
| 440 | |
| 441 return ret; | |
| 442 } | |
| 443 | |
| 444 static void quickhashbn(unsigned char *md, const BIGNUM *bn) | |
| 445 { | |
| 446 SHA_CTX sha; | |
| 447 | |
| 448 SHA1_Init(&sha); | |
| 449 hashbn(&sha, bn); | |
| 450 SHA1_Final(md, &sha); | |
| 451 } | |
| 452 | |
| 453 void JPAKE_STEP3A_init(JPAKE_STEP3A *s3a) | |
| 454 {} | |
| 455 | |
| 456 int JPAKE_STEP3A_generate(JPAKE_STEP3A *send, JPAKE_CTX *ctx) | |
| 457 { | |
| 458 quickhashbn(send->hhk, ctx->key); | |
| 459 SHA1(send->hhk, sizeof send->hhk, send->hhk); | |
| 460 | |
| 461 return 1; | |
| 462 } | |
| 463 | |
| 464 int JPAKE_STEP3A_process(JPAKE_CTX *ctx, const JPAKE_STEP3A *received) | |
| 465 { | |
| 466 unsigned char hhk[SHA_DIGEST_LENGTH]; | |
| 467 | |
| 468 quickhashbn(hhk, ctx->key); | |
| 469 SHA1(hhk, sizeof hhk, hhk); | |
| 470 if(memcmp(hhk, received->hhk, sizeof hhk)) | |
| 471 { | |
| 472 JPAKEerr(JPAKE_F_JPAKE_STEP3A_PROCESS, JPAKE_R_HASH_OF_HASH_OF_KEY_MISMA
TCH); | |
| 473 return 0; | |
| 474 } | |
| 475 return 1; | |
| 476 } | |
| 477 | |
| 478 void JPAKE_STEP3A_release(JPAKE_STEP3A *s3a) | |
| 479 {} | |
| 480 | |
| 481 void JPAKE_STEP3B_init(JPAKE_STEP3B *s3b) | |
| 482 {} | |
| 483 | |
| 484 int JPAKE_STEP3B_generate(JPAKE_STEP3B *send, JPAKE_CTX *ctx) | |
| 485 { | |
| 486 quickhashbn(send->hk, ctx->key); | |
| 487 | |
| 488 return 1; | |
| 489 } | |
| 490 | |
| 491 int JPAKE_STEP3B_process(JPAKE_CTX *ctx, const JPAKE_STEP3B *received) | |
| 492 { | |
| 493 unsigned char hk[SHA_DIGEST_LENGTH]; | |
| 494 | |
| 495 quickhashbn(hk, ctx->key); | |
| 496 if(memcmp(hk, received->hk, sizeof hk)) | |
| 497 { | |
| 498 JPAKEerr(JPAKE_F_JPAKE_STEP3B_PROCESS, JPAKE_R_HASH_OF_KEY_MISMATCH); | |
| 499 return 0; | |
| 500 } | |
| 501 return 1; | |
| 502 } | |
| 503 | |
| 504 void JPAKE_STEP3B_release(JPAKE_STEP3B *s3b) | |
| 505 {} | |
| 506 | |
| 507 const BIGNUM *JPAKE_get_shared_key(JPAKE_CTX *ctx) | |
| 508 { | |
| 509 return ctx->key; | |
| 510 } | |
| 511 | |
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